vector.backwarddifferencematrix.md

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backwardDifferenceMatrix() function

Builds a matrix that transforms a vector to a vector of backward differences

Signature:

export declare function backwardDifferenceMatrix(binCount: number): NumberMatrix;

Parameters

Parameter	Type	Description
binCount	number	The size of the vector to which the output ought to be applied

Returns:

NumberMatrix

The backward difference matrix

Remarks

A backward difference matrix calculates an approximate derivative scaled by the difference when applied to a vector of function values, using a backward difference _f(x) - f(x - delta)_

Example

backwardDifferenceMatrix(4);

// [  1  0  0  0 ]
// [ -1  1  0  0 ]
// [  0 -1  1  0 ]
// [  0  0 -1  1 ]