ILapack Interface

ILNumerics Ultimate VS Documentation

ILNumerics - Technical Application Development

Interface for LAPACK/BLAS functions.

[ILNumerics Core Module]

Namespace: ILNumerics.Core.Native
Assembly: ILNumerics.Core (in ILNumerics.Core.dll) Version: 5.5.0.0 (5.5.7503.3146)

Syntax

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public interface ILapack

Public Interface ILapack

Dim instance As ILapack

The ILapack type exposes the following members.

Methods

	Name	Description
	cgeevx
	cgelsd
	cgelsy
	cgemm	Wrapper implementiation for BLAS GeneralMatrixMultiply [ILNumerics Core Module]
	cgeqp3	QR factorisation with column pivoting [ILNumerics Core Module]
	cgeqrf	QR factorization [ILNumerics Core Module]
	cgesdd	singular value decomposition, new version, more memory needed [ILNumerics Core Module]
	cgesvd	singular value decomposition, older version, less memory needed [ILNumerics Core Module]
	cgetrf	LU factorization of general matrix [ILNumerics Core Module]
	cgetri	inverse of a matrix via LU factorization [ILNumerics Core Module]
	cgetrs	solve system of linear equations by triangular matrices [ILNumerics Core Module]
	cheevr
	chegv
	cpotrf	cholesky factorization [ILNumerics Core Module]
	cpotri	matrix inverse via cholesky factorization (?potrf) [ILNumerics Core Module]
	cpotrs	solve equation system via cholesky factorization (?potrs) [ILNumerics Core Module]
	ctrtrs	Solve triangular system of linear equations (forward-/ backward substitution) [ILNumerics Core Module]
	cungqr	QR factor extraction [ILNumerics Core Module]
	dgeevx
	dgelsd
	dgelsy
	dgemm	Wrapper implementiation for BLAS GeneralMatrixMultiply [ILNumerics Core Module]
	dgeqp3	QR factorisation with column pivoting [ILNumerics Core Module]
	dgeqrf	QR factorization [ILNumerics Core Module]
	dgesdd	singular value decomposition, new version, more memory needed [ILNumerics Core Module]
	dgesvd	singular value decomposition, older version, less memory needed [ILNumerics Core Module]
	dgetrf	LU factorization of general matrix [ILNumerics Core Module]
	dgetri	inverse of a matrix via LU factorization [ILNumerics Core Module]
	dgetrs	solve system of linear equations by triangular matrices [ILNumerics Core Module]
	dorgqr	QR factor extraction [ILNumerics Core Module]
	dormqr	multipliation for general matrix with QR decomposition factor [ILNumerics Core Module]
	dpotrf	cholesky factorization [ILNumerics Core Module]
	dpotri	matrix inverse via cholesky factorization (?potrf) [ILNumerics Core Module]
	dpotrs	solve equation system via cholesky factorization (?potrs) [ILNumerics Core Module]
	dsyevr
	dsygv
	dtrtrs	Solve triangular system of linear equations (forward-/ backward substitution) [ILNumerics Core Module]
	sgeevx
	sgelsd
	sgelsy
	sgemm	Wrapper implementiation for BLAS GeneralMatrixMultiply [ILNumerics Core Module]
	sgeqp3	QR factorisation with column pivoting [ILNumerics Core Module]
	sgeqrf	QR factorization [ILNumerics Core Module]
	sgesdd	singular value decomposition, new version, more memory needed [ILNumerics Core Module]
	sgesvd	singular value decomposition, older version, less memory needed [ILNumerics Core Module]
	sgetrf	LU factorization of general matrix [ILNumerics Core Module]
	sgetri	inverse of a matrix via LU factorization [ILNumerics Core Module]
	sgetrs	solve system of linear equations by triangular matrices [ILNumerics Core Module]
	sorgqr	QR factor extraction [ILNumerics Core Module]
	sormqr	multipliation for general matrix with QR decomposition factor [ILNumerics Core Module]
	spotrf	cholesky factorization [ILNumerics Core Module]
	spotri	matrix inverse via cholesky factorization (?potrf) [ILNumerics Core Module]
	spotrs	solve equation system via cholesky factorization (?potrs) [ILNumerics Core Module]
	ssyevr
	ssygv
	strtrs	Solve triangular system of linear equations (forward-/ backward substitution) [ILNumerics Core Module]
	zgeevx
	zgelsd
	zgelsy
	zgemm	Wrapper implementiation for BLAS GeneralMatrixMultiply [ILNumerics Core Module]
	zgeqp3	QR factorisation with column pivoting [ILNumerics Core Module]
	zgeqrf	QR factorization [ILNumerics Core Module]
	zgesdd	singular value decomposition, new version, more memory needed [ILNumerics Core Module]
	zgesvd	singular value decomposition, older version, less memory needed [ILNumerics Core Module]
	zgetrf	LU factorization of general matrix [ILNumerics Core Module]
	zgetri	inverse of a matrix via LU factorization [ILNumerics Core Module]
	zgetrs	solve system of linear equations by triangular matrices [ILNumerics Core Module]
	zheevr
	zhegv
	zpotrf	cholesky factorization [ILNumerics Core Module]
	zpotri	matrix inverse via cholesky factorization (?potrf) [ILNumerics Core Module]
	zpotrs	solve equation system via cholesky factorization (?potrs) [ILNumerics Core Module]
	ztrtrs	Solve triangular system of linear equations (forward-/ backward substitution) [ILNumerics Core Module]
	zungqr	QR factor extraction [ILNumerics Core Module]

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Remarks

Each native module must implement this interface explicitly. Calls to native functions are made by calling functions of this interface. Therefore the user can transparently call any function regardless of the plattform the assymbly (currently) runs on. The native modules implementing this interface take care of the details of implementation.

Usually users of the library will not have to handle with this interface. Its functions will be used from inside built in functions and are therefore wrapped (mainly from inside ILNumerics.ILMath).

Every LAPACK/BLAS function is explicitly implemented for any type supported. e.g. IILLapack includes four functions doing general matrix multiply: dgemm, zgemm, cgemm and sgemm - for all four floating point datatypes supported from the LAPACK package.

LAPACK is an open source linear algebra functions package optimized for use together with highly natively optimized BLAS functions. A LAPACK guide is available here: www.netlib.org.

[ILNumerics Core Module]

Reference

ILNumerics.Core.Native Namespace