AlgMatrixMath.c File Reference

Functions for basic arithmatic with matricies. More...

Functions
void	AlgMatrixAdd (AlgMatrix aM, AlgMatrix bM, AlgMatrix cM)
	Computes the sum of two matricies and returns the result in a third supplied matrix: \[ \mathbf{A} = \mathbf{B} + \mathbf{C} \] The dimensions of the all three matricies must be nR, nC. It is safe to supply the same matrix as any combination of aM, bM and cM. More...
void	AlgMatrixSub (AlgMatrix aM, AlgMatrix bM, AlgMatrix cM)
	Subtracts on matrix from another and returns the result in a third supplied matrix: \[ \mathbf{A} = \mathbf{B} - \mathbf{C} \] The dimensions of the all three matricies must be nR, nC. It is safe to supply the same matrix as any combination of aM, bM and cM. More...
void	AlgMatrixMul (AlgMatrix aM, AlgMatrix bM, AlgMatrix cM)
	Computes the product of two matricies and returns the result in a third supplied matrix: \[ \mathbf{A} = \mathbf{B} \mathbf{C} \] The dimensions of the result matrix (aM) must be cR, bC. All the matrices must be valid and of the same type except in the case of multiplying tow symmetric matrices when the result matrix must be rectangular (because in general the product of two symmetric matrices is not symmetric). More...
double	AlgMatrixTrace (AlgMatrix aM)
	Computes the trace of the given matrix. More...
void	AlgMatrixTranspose (AlgMatrix aM, AlgMatrix bM)
	Computes the transpose of the given matrix: \[ \mathbf{A} = \mathbf{B^T} \] aM = transpose(bM). The dimensions of the result matrix (aM) must be aR == bC, aC == bR. More...
void	AlgMatrixCopy (AlgMatrix aM, AlgMatrix bM)
	Copies the values of the matrix bM to the result matric aM: \[ \mathbf{A} = \mathbf{B} \] . More...
void	AlgMatrixScale (AlgMatrix aM, AlgMatrix bM, double sv)
	Multiplies the given matrix by the given scalar: \[ \mathbf{A} = s \mathbf{B} \] . More...
void	AlgMatrixScaleAdd (AlgMatrix aM, AlgMatrix bM, AlgMatrix cM, double sv)
	Multiplies the a matrix by a scalar and then adds another matrix: \[ \mathbf{A} = \mathbf{B} + s \mathbf{C}. \] All the matrices must have the same dimensions. More...
void	AlgMatrixScalar (AlgMatrix aM, double sv)
	Sets the elements of the given square matrix so that it is a scalar matrix: \[ \mathbf{A} = s \mathbf{I} \] . More...
void	AlgMatrixVectorMul (double *aV, AlgMatrix bM, double *cV)
	Multiplies the matrix \(\mathbf{B}\) by the vector \(\mathbf{c}\): \[ \mathbf{a} = \mathbf{B} \mathbf{c} \] . More...
void	AlgMatrixVectorMulAdd (double *aV, AlgMatrix bM, double *cV, double *dV)
	Multiplies the matrix \(\mathbf{B}\) by the vector \(\mathbf{c}\) and adds the vector \(\mathbf{d}\): \[ \mathbf{a} = \mathbf{B} \mathbf{c} + \mathbf{d} \] . More...
void	AlgMatrixVectorMulWAdd (double *aV, AlgMatrix bM, double *cV, double *dV, double s, double t)
	Multiplies the matrix \(\mathbf{B}\) by the vector \(\mathbf{c}\) and adds the vector \(\mathbf{d}\) using the given weights \(s\) and \(t\): \[ \mathbf{a} = s \mathbf{B} \mathbf{c} + t \mathbf{d} \] . More...
void	AlgMatrixTVectorMul (double *aV, AlgMatrix bM, double *cV)
	Multiplies the transpose of matrix \(\mathbf{B}\) by the vector \(\mathbf{c}\): \[ \mathbf{a} = \mathbf{B}^T \mathbf{c} \] . More...
void	AlgMatrixTVectorMulAdd (double *aV, AlgMatrix bM, double *cV, double *dV)
	Multiplies the transpose of matrix \(\mathbf{B}\) by the vector \(\mathbf{c}\): \[ \mathbf{a} = \mathbf{B}^T \mathbf{c} + \mathbf{d} \] . More...
AlgError	AlgMatrixRawInv2x2 (double *a00, double *a01, double *a10, double *a11)
	Inverts a raw 2 x 2 matrix. All matrix values are passed using pointers and their values are set to those of the inverse matrix on return. If the given matrix is singular the ALG_ERR_MATRIX_SINGULAR error code is returned and no values are changed. More...
AlgError	AlgMatrixRawInv3x3 (double *a00, double *a01, double *a02, double *a10, double *a11, double *a12, double *a20, double *a21, double *a22)
	Inverts a raw 2 x 2 matrix. All matrix values are passed using pointers and their values are set to those of the inverse matrix on return. If the given matrix is singular the ALG_ERR_MATRIX_SINGULAR error code is returned and no values are changed. More...

Detailed Description

Functions for basic arithmatic with matricies.

Author

Bill Hill

Date

June 2001

Version

Id

ca3df32540564b2ba5f3b9ed70f472088e6230be

Address: MRC Human Genetics Unit, MRC Institute of Genetics and Molecular Medicine, University of Edinburgh, Western General Hospital, Edinburgh, EH4 2XU, UK.

Copyright (C), [2012], The University Court of the University of Edinburgh, Old College, Edinburgh, UK.

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