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[WIP] Implementation of QR Decomposition #29

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@rabbull rabbull commented Jan 30, 2025

This draft PR introduces an implementation of QR Decomposition based on the existing Gram-Schmidt algorithm in Symbolica. However, I overlooked an important detail: the current Gram-Schmidt implementation only orthogonalizes the vectors but does not normalize them. As a result, the QR decomposition in this PR does not correctly factorize the matrix as expected.

To ensure correctness, further modifications are required to properly normalize the vectors and obtain a truly orthonormal Q matrix. This PR serves as a work-in-progress snapshot to illustrate the current state and facilitate further discussion and improvements.

@rabbull rabbull force-pushed the feature/qr_decomposition branch from c95152b to 71e6b9f Compare January 30, 2025 02:58
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