-
Notifications
You must be signed in to change notification settings - Fork 7
/
njhigham.bib
5239 lines (4869 loc) · 147 KB
/
njhigham.bib
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
====================================================================
%%% BibTeX-file{
%%% author = "Nicholas J. Higham",
%%% date = "January 1, 2024",
%%% filename = "njhigham.bib",
%%% address = "Department of Mathematics
%%% University of Manchester
%%% Manchester M13 9PL
%%% UK",
%%% telephone = "+44 (0)161 275 5800",
%%% FAX = "+44 (0)161 275 5819",
%%% checksum = ""
%%% email = "nick.higham at manchester.ac.uk (Internet)",
%%% codetable = "ISO/ASCII",
%%% keywords = "bibliography, numerical analysis, N. J. Higham",
%%% supported = "yes",
%%% docstring = "BibTeX bibliography for papers, books,
%%% EPrints, articles, etc. of Nicholas J. Higham."
%%% }
%%% ====================================================================
%%% The latest version of this file is available at
%%%
%%% https://github.com/higham/njhigham-bib
%%%
%%% String definitions needed by this file are in strings.bib at the
%%% above URLs.
@article{aabc21,
author = "Ahmad Abdelfattah and Hartwig Anzt and Erik G. Boman and Erin
Carson and Terry Cojean and Jack Dongarra and Alyson Fox
and Mark Gates and Nicholas J. Higham and Xiaoye S. Li and
Jennifer Loe and Piotr Luszczek and Srikara Pranesh and
Siva Rajamanickam and Tobias Ribizel and Barry F. Smith
and Kasia Swirydowicz and Stephen Thomas and Stanimire
Tomov and Yaohung M. Tsai and Ulrike Meier Yang",
title = "A Survey of Numerical Linear Algebra Methods Utilizing
Mixed-Precision Arithmetic",
journal = j-IJHPCA,
pages = "344-369",
volume = 35,
number = 4,
month = mar,
year = 2021,
doi = "10.1177/10943420211003313",
created = "2020.07.15",
updated = "2021.06.20"
}
@techreport{aaab21,
author = "Ahmad Abdelfattah and Hartwig Anzt and Alan Ayala and Erik
Boman and Erin Carson and Sebastien Cayrols and Terry
Cojean and Jack Dongarra and Rob Falgout and Mark Gates
and Thomas Grutzmacher and Nicholas J. Higham and Scott
Kruger and Sherry Li and Neil Lindquist and Yang Liu and
Jennifer Loe and Pratik Nayak and Daniel Osei-Kuffuor and
Sri Pranesh and Sivasankaran Rajamanickam and Tobias
Ribizel and Bryce Smith and Kasia Swirydowicz and Stephen
Thomas and Stanimire Tomov and Yaohung Tsai and Ichitaro
Yamazaki and Urike Yang",
title = "Advances in Mixed Precision Algorithms: 2021 Edition",
type = "Technical Report",
institution = "Lawrence Livermore National Laboratory",
address = "Livermore, CA, USA",
number = "LLNL-TR-825909",
year = 2021,
month = aug,
doi = "10.2172/1814447",
publisher = "Office of Scientific and Technical Information ({OSTI})",
created = "2023.03.04",
updated = "2023.03.04"
}
@article{acdg21,
author = "Ahmad Abdelfattah and Timothy Costa and Jack Dongarra and
Mark Gates and Azzam Haidar and Sven Hammarling and
Nicholas J. Higham and Jakub Kurzak and Piotr Luszczek and
Stanimire Tomov and Mawussi Zounon",
title = "A Set of {Batched Basic Linear Algebra Subprograms} and {LAPACK}
Routines",
journal = j-TOMS,
volume = 47,
number = 3,
pages = "21:1-21:23",
month = jun,
year = 2021,
doi = "10.1145/3431921",
created = "2020.10.27",
updated = "2021.07.08"
}
@article{alhi09,
author = "Awad H. Al-Mohy and Nicholas J. Higham",
title = "Computing the {Fr\'echet} Derivative of the Matrix Exponential,
with an Application to Condition Number Estimation",
journal = j-SIMAX,
volume = 30,
number = 4,
pages = "1639-1657",
year = 2009,
doi = "10.1137/080716426",
bibdate = "Thu Jan 29 10:22:19 GMT 2009",
created = "2009.01.29",
updated = "2014.05.22"
}
@article{alhi09a,
author = "Awad H. Al-Mohy and Nicholas J. Higham",
title = "A New Scaling and Squaring Algorithm for the Matrix Exponential",
journal = j-SIMAX,
volume = 31,
number = 3,
pages = "970-989",
year = "2009",
doi = "10.1137/09074721X",
bibdate = "Thu Aug 13 12:23:42 GMT 2009",
created = "2009.08.13",
updated = "2009.08.13"
}
@article{alhi10,
author = "Awad H. Al-Mohy and Nicholas J. Higham",
title = "The Complex Step Approximation to the
{Fr\'echet} Derivative of a Matrix Function",
journal = j-NUM-ALG,
volume = 53,
number = 1,
pages = "133-148",
year = 2010,
doi = "10.1007/s11075-009-9323-y",
bibdate = "Tue Nov 17 09:10:04 GMT 2009",
created = "2009.11.17",
updated = "2014.05.22"
}
@article{alhi11,
author = "Awad H. Al-Mohy and Nicholas J. Higham",
title = "Computing the Action of the Matrix Exponential,
with an Application to Exponential Integrators",
journal = j-SISC,
volume = 33,
number = 2,
pages = "488-511",
year = 2011,
doi = "10.1137/100788860",
created = "2009.11.17",
updated = "2011.03.07"
}
@article{alhi12g,
author = "Awad H. Al-Mohy and Nicholas J. Higham",
title = "Improved Inverse Scaling and Squaring Algorithms for
the Matrix Logarithm",
journal = j-SISC,
volume = 34,
number = 4,
pages = "C153-C169",
year = 2012,
doi = "10.1137/110852553",
created = "2011.10.19",
updated = "2012.09.04"
}
@article{ahl22,
author = "Awad H. Al-Mohy and Nicholas J. Higham and Xiaobo Liu",
title = "Arbitrary Precision Algorithms for Computing the Matrix Cosine
and its {Fr\'echet} Derivative",
journal = j-SIMAX,
volume = 43,
number = 1,
pages = "233-256",
month = feb,
year = 2022,
doi = "10.1137/21m1441043",
created = "2021.08.16",
updated = "2022.02.17"
}
@article{ahr13,
author = "Awad H. Al-Mohy and Nicholas J. Higham and Samuel D. Relton",
title = "Computing the {Fr{\'e}chet} Derivative of the Matrix Logarithm
and Estimating the Condition Number",
journal = j-SISC,
volume = 35,
number = 4,
pages = "C394-C410",
year = 2013,
doi = "10.1137/120885991",
created = "2012.07.05",
updated = "2013.08.06"
}
@article{ahr15,
author = "Awad H. Al-Mohy and Nicholas J. Higham and Samuel D. Relton",
title = "New Algorithms for Computing the Matrix Sine and Cosine
Separately or Simultaneously",
journal = j-SISC,
volume = 37,
number = 1,
pages = "A456-A487",
year = 2015,
doi = "10.1137/140973979",
created = "2014.06.20",
updated = "2015.02.13"
}
@techreport{abhl21,
author = "Patrick Amestoy and Alfredo Buttari and Nicholas J. Higham and
Jean-Yves L'Excellent and Theo Mary and Bastien Vieubl{\'e}",
title = "Five-Precision {GMRES}-based Iterative Refinement",
institution = inst-MIMS,
year = 2021,
type = t-MIMS-EPrint,
number = "2021.5",
address = inst-MIMS:adr,
month = apr,
pages = 21,
url = "http://eprints.maths.manchester.ac.uk/2852/",
note = "Revised April 2022 and July 2023. To appear in " # j-SIMAX,
created = "2021.04.04",
updated = "2023.10.27"
}
@article{abhl23,
author = "Patrick Amestoy and Alfredo Buttari and Nicholas J. Higham and
Jean-Yves L'Excellent and Theo Mary and Bastien Vieubl{\'e}",
title = "Combining Sparse Approximate Factorizations with Mixed-precision
Iterative Refinement",
journal = j-TOMS,
volume = 49,
number = 1,
pages = "4:1-4:29",
month = mar,
year = 2023,
doi = "10.1145/3582493",
created = "2022.01.25",
updated = "2023.03.29"
}
@article{adfh19,
author = "Hartwig Anzt and Jack Dongarra and
Goran Flegar and Nicholas J. Higham and
Enrique S. Quintana-Ort{\'\i}",
title = "Adaptive Precision in Block-{Jacobi} Preconditioning for
Iterative Sparse Linear System Solvers",
journal = j-CONCCPE,
volume = 31,
number = 6,
pages = "e4460",
year = 2019,
doi = "10.1002/cpe.4460",
created = "2018.03.12",
updated = "2019.02.19"
}
@article{ahh16,
author = "Mary Aprahamian and Desmond J. Higham and Nicholas J. Higham",
title = "Matching Exponential-Based and Resolvent-Based Centrality
Measures",
journal = "Journal of Complex Networks",
volume = 4,
number = 2,
pages = "157-176",
year = 2016,
doi = "10.1093/comnet/cnv016",
created = "2015.01.07",
updated = "2016.10.07"
}
@article{aphi14,
author = "Mary Aprahamian and Nicholas J. Higham",
title = "The Matrix Unwinding Function, with an Application to Computing the
Matrix Exponential",
journal = j-SIMAX,
volume = 35,
number = 1,
pages = "88-109",
year = 2014,
doi = "10.1137/130920137",
created = "2013.05.04",
updated = "2014.01.31"
}
@article{aphi16,
author = "Mary Aprahamian and Nicholas J. Higham",
title = "Matrix Inverse Trigonometric and Inverse Hyperbolic Functions:
{Theory} and Algorithms",
journal = j-SIMAX,
volume = 37,
number = 4,
pages = "1453-1477",
year = 2016,
doi = "10.1137/16M1057577",
created = "2015.08.12",
updated = "2016.10.19"
}
@techreport{aphi15b,
author = "Mary Aprahamian and Nicholas J. Higham",
title = "Argument Reduction for Computing Periodic Functions",
institution = inst-MIMS,
address = inst-MIMS:adr,
type = t-MIMS-EPrint,
_number = "2015.xx",
year = 2015,
_url = "http://eprints.ma.man.ac.uk/xxxx",
note = "In preparation",
created = "2015.08.12",
updated = "2015.09.09"
}
@article{amrh16,
author = "Wayne Arter and J. Guy Morgan and Samuel D. Relton
and Nicholas J. Higham",
title = "Ranking the Importance of Nuclear Reactions for Activation and
Transmutation Events",
journal = "Nuclear Science and Engineering",
volume = 184,
number = 4,
pages = "561-574",
month = dec,
year = 2016,
doi = "10.13182/NSE15-23",
created = "2015.02.27",
updated = "2017.01.08"
}
@misc{nlevp,
author = "Timo Betcke and Nicholas J. Higham and Volker Mehrmann
and Christian Schr{\"o}der and Fran\c{c}oise Tisseur",
title = "{NLEVP}: {A} Collection of Nonlinear Eigenvalue Problems",
note = "\url{https://github.com/ftisseur/nlevp}",
_note = "\url{http://www.maths.manchester.ac.uk/our-research/research-groups/numerical-analysis-and-scientific-computing/numerical-analysis/software/nlevp/}",
bibdate = "Fri Mar 28 14:19:55 GMT 2008",
created = "2008.03.28",
updated = "2020.10.03"
}
@techreport{bhms11,
author = "Timo Betcke and Nicholas J. Higham and Volker Mehrmann
and Christian Schr{\"o}der and Fran\c{c}oise Tisseur",
title = "{NLEVP}: {A} Collection of Nonlinear Eigenvalue Problems",
institution = inst-MIMS,
address = inst-MIMS:adr,
type = t-MIMS-EPrint,
number = "2011.116",
pages = "27",
month = dec,
year = "2011",
created = "2011.11.22",
updated = "2011.12.22"
}
@techreport{bhms11-UG,
author = "Timo Betcke and Nicholas J. Higham and Volker Mehrmann
and Christian Schr{\"o}der and Fran\c{c}oise Tisseur",
title = "{NLEVP}: {A} Collection of Nonlinear Eigenvalue Problems.
{Users'} Guide",
institution = inst-MIMS,
address = inst-MIMS:adr,
type = t-MIMS-EPrint,
number = "2011.117",
pages = "8",
month = dec,
year = "2011",
created = "2011.11.22",
updated = "2011.12.22"
}
@article{bhms13,
author = "Timo Betcke and Nicholas J. Higham and Volker Mehrmann
and Christian Schr{\"o}der and Fran\c{c}oise Tisseur",
title = "{NLEVP}: {A} Collection of Nonlinear Eigenvalue Problems",
journal = j-TOMS,
volume = 39,
number = 2,
pages = "7:1-7:28",
month = feb,
year = "2013",
doi = "10.1145/2427023.2427024",
created = "2013.02.21",
updated = "2013.02.21"
}
@techreport{bbdh11,
author = "Iain Bethune and J. Mark Bull and Nicholas J. Dingle and
Nicholas J. Higham",
title = "Investigating the Performance of Asynchronous
{Jacobi}'s Method for Solving Systems of Linear Equations",
institution = inst-MIMS,
address = inst-MIMS:adr,
type = t-MIMS-EPrint,
number = "2011.82",
pages = "8",
month = oct,
year = "2011",
url = "http://eprints.ma.man.ac.uk/1988/",
created = "2011.10.19",
updated = "2015.11.14"
}
@article{bbdh14,
author = "Iain Bethune and J. Mark Bull and Nicholas J. Dingle and
Nicholas J. Higham",
title = "Performance Analysis of Asynchronous {Jacobi's} Method Implemented
in {MPI}, {SHMEM} and {OpenMP}",
journal = j-IJHPCA,
volume = 28,
number = 1,
pages = "97-111",
year = 2014,
doi = "10.1177/1094342013493123",
created = "2013.07.15",
updated = "2014.01.27"
}
@article{bhm05,
author = "Dario A. Bini and Nicholas J. Higham and Beatrice Meini",
title = "Algorithms for the Matrix {$p$}th Root",
journal = j-NUM-ALG,
volume = 39,
number = 4,
pages = "349-378",
year = 2005,
doi = "10.1007/s11075-004-6709-8",
bibdate = "Tue Apr 19 16:16:51 GMT 2005",
created = "2005.04.19",
updated = "2014.05.22"
}
@article{bhh20,
author = "Pierre Blanchard and Desmond J. Higham and Nicholas J. Higham",
title = "Accurately Computing the Log-Sum-Exp and Softmax Functions",
journal = j-IMAJNA,
volume = 41,
number = 4,
pages = "2311-2330",
year = 2020,
doi = "10.1093/imanum/draa038",
created = "2019.09.06",
updated = "2021.10.21"
}
@article{bhm20,
author = "Pierre Blanchard and Nicholas J. Higham and Theo Mary",
title = "A Class of Fast and Accurate Summation Algorithms",
journal = j-SISC,
volume = 42,
number = 3,
pages = "A1541-A1557",
month = jan,
year = 2020,
doi = "10.1137/19M1257780",
created = "2019.04.23",
updated = "2020.03.01"
}
@article{bhlm20,
author = "Pierre Blanchard and Nicholas J. Higham and Florent Lopez
and Theo Mary and Srikara Pranesh",
title = "Mixed Precision Block Fused Multiply-Add: {Error} Analysis and
Application to {GPU} Tensor Cores",
journal = j-SISC,
volume = 42,
number = 3,
pages = "C124-C141",
year = 2020,
doi = "10.1137/19M1289546",
created = "2019.09.24",
updated = "2020.05.27"
}
@article{bhp03,
author = "Adam Bojanczyk and Nicholas J. Higham and Harikrishna Patel",
title = "Solving the Indefinite Least Squares Problem by Hyperbolic {QR}
Factorization",
journal = j-SIMAX,
volume = 24,
number = 4,
pages = "914-931",
year = 2003,
doi = "10.1137/S0895479802401497",
bibdate = "Tue Feb 25 11:33:29 GMT 2003",
created = "2003.02.25",
updated = "2014.05.22"
}
@article{bhp03a,
author = "Adam Bojanczyk and Nicholas J. Higham and Harikrishna Patel",
title = "The Equality Constrained Indefinite Least Squares Problem:
{Theory} and Algorithms",
journal = j-BIT,
volume = 43,
number = 3,
pages = "505-517",
year = 2003,
doi = "10.1023/B:BITN.0000007020.58972.07",
bibdate = "Mon Dec 15 11:37:51 GMT 2003",
created = "2003.12.15",
updated = "2010.09.16"
}
@article{bohi10,
author = "R{\"u}diger Borsdorf and Nicholas J. Higham",
title = "A Preconditioned {Newton} Algorithm for the Nearest Correlation
Matrix",
journal = j-IMAJNA,
volume = 30,
number = 1,
pages = "94-107",
year = 2010,
doi = "10.1093/imanum/drn085",
bibdate = "Thu Jan 28 09:28:15 GMT 2010",
created = "2010.01.28",
updated = "2010.01.28"
}
@article{bhr10,
author = "R{\"u}diger Borsdorf and Nicholas J. Higham and Marcos Raydan",
title = "Computing a Nearest Correlation Matrix with Factor Structure",
journal = j-SIMAX,
volume = 31,
number = 5,
pages = "2603-2622",
year = 2010,
doi = "10.1137/090776718",
bibdate = "Thu Sep 16 09:35:37 GMT 2010",
created = "2010.09.16",
updated = "2014.05.22"
}
@article{brhi96,
author = "Thierry Braconnier and Nicholas J. Higham",
title = "Computing the Field of Values and Pseudospectra
Using the {Lanczos} Method with Continuation",
journal = j-BIT,
volume = 36,
number = 3,
pages = "422-440",
year = 1996,
doi = "10.1007/BF01731925",
bibdate = "Thu Sep 19 12:16:51 GMT 1996",
created = "1996.09.19",
updated = "2014.05.22"
}
@techreport{bhmv23,
author = "Alfredo Buttari and Nicholas J. Higham and
Theo Mary and Bastien Vieubl{\'e}",
title = "A Modular Framework for the Backward Error Analysis of {GMRES}",
year = 2023,
type = t-MIMS-EPrint,
_number = "2023.x",
address = inst-MIMS:adr,
note = "In preparation",
institution = inst-MIMS,
created = "2023.10.23",
updated = "2023.10.23"
}
@article{cahi17,
author = "Erin Carson and Nicholas J. Higham",
title = "A New Analysis of Iterative Refinement and its Application to
Accurate Solution of Ill-Conditioned Sparse Linear Systems",
journal = j-SISC,
volume = 39,
number = 6,
pages = "A2834-A2856",
year = 2017,
doi = "10.1137/17M1122918",
created = "2017.03.28",
updated = "2017.12.11"
}
@article{cahi18,
author = "Erin Carson and Nicholas J. Higham",
title = "Accelerating the Solution of Linear Systems by Iterative
Refinement in Three Precisions",
journal = j-SISC,
volume = 40,
number = 2,
pages = "A817-A847",
year = 2018,
doi = "10.1137/17M1140819",
created = "2017.07.22",
updated = "2018.03.16"
}
@article{chp20,
author = "Erin Carson and Nicholas J. Higham and Srikara Pranesh",
title = "Three-Precision {GMRES}-Based Iterative Refinement for Least
Squares Problems",
journal = j-SISC,
volume = 42,
number = 6,
pages = "A4063-A4083",
year = 2020,
doi = "10.1137/20m1316822",
created = "2020.12.17",
updated = "2020.12.17"
}
@article{chhi98,
author = "Sheung Hun Cheng and Nicholas J. Higham",
title = "A Modified {Cholesky} Algorithm Based on a Symmetric Indefinite
Factorization",
journal = j-SIMAX,
volume = 19,
number = 4,
pages = "1097-1110",
month = oct,
year = 1998,
doi = "10.1137/S0895479896302898",
bibdate = "Tue Oct 6 10:33:08 GMT 1998",
created = "1998.10.06",
updated = "1998.10.06"
}
@article{chhi99,
author = "Sheung Hun Cheng and Nicholas J. Higham",
title = "The Nearest Definite Pair for the
{Hermitian} Generalized Eigenvalue Problem",
journal = j-LAA,
volume = "302-303",
pages = "63-76",
year = 1999,
doi = "10.1016/S0024-3795(99)00026-9",
bibdate = "Wed Jan 12 21:29:23 GMT 2000",
created = "2000.01.12",
updated = "2014.05.22"
}
@inproceedings{chkl00,
author = "Sheung Hun Cheng and Nicholas J. Higham and Charles S. Kenney
and Alan J. Laub",
title = "Return to the Middle Ages: {A} Half-Angle Iteration for the
Logarithm of a Unitary Matrix",
booktitle = "Proceedings of the Fourteenth International Symposium of
Mathematical Theory of Networks and Systems,
Perpignan, France",
year = 2000,
note = "CD ROM",
bibdate = "Wed Jun 28 08:44:15 GMT 2000",
created = "2000.06.28",
updated = "2000.06.28"
}
@article{chkl01,
author = "Sheung Hun Cheng and Nicholas J. Higham and Charles S. Kenney
and Alan J. Laub",
title = "Approximating the Logarithm of a Matrix to Specified Accuracy",
journal = j-SIMAX,
volume = 22,
number = 4,
pages = "1112-1125",
year = 2001,
doi = "10.1137/S0895479899364015",
bibdate = "Thu May 17 12:06:55 GMT 2001",
created = "2001.05.17",
updated = "2014.05.22"
}
@inproceedings{chhi01,
author = "Sheung Hun Cheng and Nicholas J. Higham",
title = "Parallel Implementation of a Block Algorithm for Matrix 1-Norm
Estimation",
booktitle = "Euro-Par \textup{2001}, Parallel Processing",
editor = "Rizos Sakellariou and John Keane and John Gurd and Len Freeman",
series = "Lecture Notes in Computer Science",
volume = 2150,
pages = "568-577",
publisher = pub-Springer # ", " # pub-Springer:adr-B,
year = "2001",
bibdate = "Wed Aug 29 11:08:31 GMT 2001",
created = "2001.08.29",
updated = "2001.08.29"
}
@techreport{chhi01a,
author = "Sheung Hun Cheng and Nicholas J. Higham",
title = "Implementation for {LAPACK} of a Block Algorithm for Matrix 1-Norm
Estimation",
institution = inst-MCCM,
address = inst-MCCM:adr,
type = t-NAREP,
number = "No. 393",
pages = "19",
month = aug,
year = "2001",
note = "LAPACK Working Note 152",
bibdate = "Tue Aug 21 07:48:56 GMT 2001",
created = "2001.08.21",
updated = "2001.08.21"
}
@article{cohi23,
author = "Michael P. Connolly and Nicholas J. Higham",
title = "Probabilistic Rounding Error Analysis of {Householder QR}
Factorization",
journal = j-SIMAX,
volume = 44,
number = 3,
pages = "1146-1163",
year = 2023,
doi = "10.1137/22M1514817",
created = "2021.11.24",
updated = "2023.07.28"
}
@techreport{chp22,
author = "Michael P. Connolly and Nicholas J. Higham and Srikara Pranesh",
title = "Randomized Low Rank Matrix Approximation: {Rounding} Error Analysis
and a Mixed Precision Algorithm",
type = t-MIMS-EPrint,
number = "2022.5",
address = inst-MIMS:adr,
institution = inst-MIMS,
month = jul,
pages = 18,
year = 2022,
url = "http://eprints.maths.manchester.ac.uk/2884/",
note = "Revised March 2023",
created = "2022.07.19",
updated = "2023.03.13"
}
@article{chm21,
author = "Michael P. Connolly and Nicholas J. Higham and Theo Mary",
title = "Stochastic Rounding and Its Probabilistic Backward Error Analysis",
journal = j-SISC,
volume = 43,
number = 1,
pages = "A566-A585",
month = jan,
year = 2021,
doi = "10.1137/20m1334796",
created = "2020.03.19",
updated = "2020.11.16"
}
@inproceedings{cdhj07,
author = "Robert M. Corless and Hui Ding and Nicholas J. Higham and
David J. Jeffrey",
title = "The Solution of {$S \exp(S) = A$} is Not Always
the {Lambert} {$W$} Function of {$A$}",
booktitle = "{ISSAC} '\textup{07}: Proceedings of the \textup{2007}
International Symposium on Symbolic and Algebraic Computation",
pages = "116-121",
location = "Waterloo, Ontario, Canada",
publisher = pub-ACM,
address = pub-ACM:adr,
year = "2007",
isbn = "978-1-59593-743-8",
doi = "10.1145/1277548.1277565",
bibdate = "Fri Aug 17 22:03:56 GMT 2007",
created = "2007.08.17",
updated = "2007.08.17"
}
@article{cht20,
author = "Robert M. Corless and Nicholas J. Higham and Steven E. Thornton",
title = "Cover Image: {Bohemian} Matrices",
journal = "LMS Newsletter",
volume = 491,
pages = 16,
month = nov,
year = 2020,
url = "https://www.lms.ac.uk/publications/lms-newsletter-back-issues",
created = "2020.11.11",
updated = "2020.11.11"
}
@inproceedings{cohi98,
author = "Anthony J. Cox and Nicholas J. Higham",
title = "Stability of {Householder QR} Factorization
for Weighted Least Squares Problems",
booktitle = "Numerical Analysis \textup{1997}, Proceedings of the
\textup{17}th Dundee Biennial Conference",
series = "Pitman Research Notes in Mathematics",
volume = 380,
editor = "D. F. Griffiths and D. J. Higham and G. A. Watson",
pages = "57-73",
publisher = pub-AWLongman # ", " # pub-AWLongman:adr,
year = 1998,
bibdate = "Mon Feb 2 07:55:26 GMT 1998",
created = "1998.02.02",
updated = "1998.02.02"
}
@article{cohi99r,
author = "Anthony J. Cox and Nicholas J. Higham",
title = "Row-Wise Backward Stable Elimination Methods
for the Equality Constrained Least Squares Problem",
journal = j-SIMAX,
volume = 21,
number = 1,
pages = "313-326",
year = 1999,
doi = "10.1137/S0895479898335957",
bibdate = "Wed Feb 23 14:21:17 GMT 2000",
created = "2000.02.23",
updated = "2014.05.25"
}
@article{cohi99,
author = "Anthony J. Cox and Nicholas J. Higham",
title = "Accuracy and Stability of the Null Space Method for Solving the
Equality Constrained Least Squares Problem",
journal = j-BIT,
volume = 39,
number = 1,
pages = "34-50",
year = 1999,
doi = "10.1023/A:1022365107361",
bibdate = "Wed Mar 17 08:32:57 GMT 1999",
created = "1999.03.17",
updated = "2014.05.25"
}
@article{cfhm22,
author = "Matteo Croci and Massimiliano Fasi and Nicholas J. Higham and
Theo Mary and Mantas Mikaitis",
title = "Stochastic Rounding: {Implementation}, Error Analysis and
Applications",
journal = j-RSOS,
volume = 9,
number = 3,
pages = "1-25",
year = 2022,
doi = "10.1098/rsos.211631",
created = "2021.10.14",
updated = "2022.03.09"
}
@article{cohi99c,
author = "Anthony J. Cox and Nicholas J. Higham",
title = "Backward Error Bounds for Constrained Least Squares Problems",
journal = j-BIT,
volume = 39,
number = 2,
pages = "210-227",
year = "1999",
doi = "10.1023/A:1022385611904",
bibdate = "Mon Aug 2 12:06:15 GMT 1999",
created = "1999.08.02",
updated = "2014.05.25"
}
@techreport{dahi99j,
author = "Philip I. Davies and Nicholas J. Higham",
title = "Generating Test Matrices for the One- and Two-Sided {Jacobi} Methods",
institution = inst-MCCM,
address = inst-MCCM:adr,
type = t-NAREP,
number = "No. 338",
month = jan,
pages = "13",
year = 1999,
bibdate = "Tue Jan 19 08:51:31 GMT 1999",
created = "1999.01.19",
updated = "1999.01.19"
}
@article{dahi00,
author = "Philip I. Davies and Nicholas J. Higham",
title = "Numerically Stable Generation of
Correlation Matrices and their Factors",
journal = j-BIT,
volume = 40,
number = 4,
pages = "640-651",
year = 2000,
doi = "10.1023/A:1022384216930",
bibdate = "Wed Sep 6 15:31:15 GMT 2000",
created = "2000.09.06",
updated = "2014.05.25"
}
@article{dahi03,
author = "Philip I. Davies and Nicholas J. Higham",
title = "A {Schur--Parlett} Algorithm for Computing Matrix Functions",
journal = j-SIMAX,
volume = 25,
number = 2,
pages = "464-485",
year = 2003,
doi = "10.1137/S0895479802410815",
bibdate = "Thu Sep 18 09:13:12 GMT 2003",
created = "2003.09.18",
updated = "2014.05.25"
}
@inproceedings{dahi05,
author = "Philip I. Davies and Nicholas J. Higham",
title = "Computing {$f(A)b$} for Matrix Functions {$f$}",
booktitle = "{QCD} and Numerical Analysis {III}",
editor = "Artan Bori{\c{c}}i and Andreas Frommer and B{\'a}alint Jo{\'o}
and Anthony Kennedy and Brian Pendleton",
series = "Lecture Notes in Computational Science and Engineering",
volume = 47,
publisher = pub-Springer # ", " # pub-Springer:adr-B,
pages = "15-24",
year = 2005,
_isbn = "3-540-21257-4",
bibdate = "Sun Aug 28 09:45:49 GMT 2005",
created = "2005.08.28",
updated = "2005.08.28"
}
@article{dht01,
author = "Philip I. Davies and Nicholas J. Higham and Fran\c{c}oise Tisseur",
title = "Analysis of the {Cholesky} Method with Iterative Refinement for
Solving the Symmetric Definite Generalized Eigenproblem",
journal = j-SIMAX,
volume = 23,
number = 2,
pages = "472-493",
year = 2001,
doi = "10.1137/S0895479800373498",
bibdate = "Fri Sep 7 11:24:47 GMT 2001",
created = "2001.09.07",
updated = "2014.05.25"
}
@inproceedings{dhr13,
author = "Edvin Deadman and Nicholas J. Higham and Rui Ralha",
title = "Blocked {Schur} Algorithms for Computing the Matrix Square Root",
booktitle = "Applied Parallel and Scientific Computing:
11th International Conference, {PARA 2012, Helsinki, Finland}",
editor = "P. Manninen and P. {\"O}ster",
series = "Lecture Notes in Computer Science",
volume = 7782,
pages = "171-182",
year = 2013,
publisher = pub-Springer # ", " # pub-Springer:adr-B,
doi = "10.1007/978-3-642-36803-5_12",
created = "2012.01.31",
updated = "2013.03.08"
}
@misc{dehi14a,
author = "Edvin Deadman and Nicholas J. Higham",
title = "Testing Matrix Function Algorithms Using Identities",
year = 2014,
howpublished = "\url{http://blog.nag.com/2014/04/testing-matrix-function-algorithms.html}",
howpublished2= "\url{http://www.nag.co.uk/content/testing-matrix-function-algorithms-using-identities}",
created = "2014.10.20",
updated = "2016.07.28"
}
@article{dehi16,
author = "Edvin Deadman and Nicholas J. Higham",
title = "Testing Matrix Function Algorithms Using Identities",
journal = j-TOMS,
volume = 42,
number = 1,
pages = "4:1--4:15",
month = jan,
year = 2016,
doi = "10.1145/2723157",
created = "2016.02.29",
updated = "2016.02.29"
}
@article{dehi92,
author = "James W. Demmel and Nicholas J. Higham",
title = "Stability of Block Algorithms with Fast Level-3 {BLAS}",
journal = j-TOMS,
volume = 18,
number = 3,
pages = "274-291",
month = sep,
year = 1992,
doi = "10.1145/131766.131769",
mynote = "Also LAPACK Working Note 22.",
created = "1994.01.01",
updated = "2014.05.25"
}
@article{dehi93,
author = "James W. Demmel and Nicholas J. Higham",
title = "Improved Error Bounds for Underdetermined System Solvers",
journal = j-SIMAX,
volume = 14,
number = 1,
pages = "1-14",
month = jan,
year = 1993,
doi = "10.1137/0614001",
mynote = "Also LAPACK Working Note 23.",
created = "1994.01.01",
updated = "2014.05.25"
}
@article{dhs95,
author = "James W. Demmel and Nicholas J. Higham and Robert S. Schreiber",
title = "Stability of Block {$LU$} Factorization",
journal = j-NLAA,
volume = 2,
number = 2,
pages = "173-190",