DenseMat.hpp File Reference

Operations about small dense mat. More...

#include <algorithm>
#include <iomanip>
#include <iostream>
#include <string>

Go to the source code of this file.

Functions
void	dscal_ (const int *n, const double *alpha, double *x, const int *incx)
	Scales a vector by a constant.
double	ddot_ (const int *n, double *a, const int *inca, double *b, const int *incb)
	Forms the dot product of two vectors.
int	dcopy_ (const int *n, const double *src, const int *incx, double *dst, const int *incy)
	Copies a vector, src, to a vector, dst.
int	daxpy_ (const int *n, const double *alpha, const double *x, const int *incx, double *y, const int *incy)
	Constant times a vector plus a vector.
double	dnrm2_ (const int *n, double *x, const int *incx)
	Computes the Euclidean norm of a vector.
double	dasum_ (const int *n, double *x, const int *incx)
	Computes the sum of the absolute values of a vector.
int	idamax_ (const int *n, double *x, const int *incx)
	Finds the index of element having max absolute value.
int	dgemm_ (const char *transa, const char *transb, const int *m, const int *n, const int *k, const double *alpha, const double *A, const int *lda, const double *B, const int *ldb, const double *beta, double *C, const int *ldc)
	Performs matrix-matrix operations C : = alpha * op(A) * op(B) + beta * C.
int	dgesv_ (const int *n, const int *nrhs, double *A, const int *lda, int *ipiv, double *b, const int *ldb, int *info)
	Computes the solution to system of linear equations A * X = B for general matrices.
int	dsysv_ (const char *uplo, const int *n, const int *nrhs, double *A, const int *lda, int *ipiv, double *b, const int *ldb, double *work, const int *lwork, int *info)
	Computes the solution to system of linear equations A * X = B for symm matrices.
int	ssyevd_ (char *jobz, char *uplo, const int *n, float *A, const int *lda, float *w, float *work, const int *lwork, int *iwork, const int *liwork, int *info)
void	CalEigenSY (const int &N, float *A, float *w, float *work, const int &lwork)
	Calculate the minimal eigenvalue for symmetric matrix with mkl lapack.
void	Dcopy (const int &N, double *dst, const double *src)
	Calculate the minimal eigenvalue for symmetric matrix with mkl lapack. More...
double	Ddot (int n, double *a, double *b)
	Dot product of two double vectors stored as pointers.
double	Dnorm1 (const int &N, double *x)
	Computes the L1-norm of a vector.
double	Dnorm2 (const int &N, double *x)
	Computes the L2-norm of a vector.
void	Dscalar (const int &n, const double &alpha, double *x)
	Scales a vector by a constant.
void	Daxpy (const int &n, const double &alpha, const double *x, double *y)
	Constant times a vector plus a vector.
void	DaABpbC (const int &m, const int &n, const int &k, const double &alpha, const double *A, const double *B, const double &beta, double *C)
	Computes C' = alpha B'A' + beta C', all matrices are column-major.
void	myDABpC (const int &m, const int &n, const int &k, const double *A, const double *B, double *C)
void	myDABpCp (const int &m, const int &n, const int &k, const double *A, const double *B, double *C, const int *flag, const int N)
void	myDABpCp1 (const int &m, const int &n, const int &k, const double *A, const double *B, double *C, const int *flag, const int N)
void	myDABpCp2 (const int &m, const int &n, const int &k, const double *A, const double *B, double *C, const int *flag, const int N)
void	DaAxpby (const int &m, const int &n, const double &a, const double *A, const double *x, const double &b, double *y)
	Computes y = a A x + b y.
void	LUSolve (const int &nrhs, const int &N, double *A, double *b, int *pivot)
	Calls dgesv to solve the linear system for general matrices.
int	SYSSolve (const int &nrhs, const char *uplo, const int &N, double *A, double *b, int *pivot, double *work, const int &lwork)
	Calls dsysy to solve the linear system for symm matrices.
template<typename T >
void	PrintDX (const int &N, const T *x)
	Prints a vector.
template<typename T >
bool	CheckNan (const int &N, const T *x)
	check NaN

Detailed Description

Operations about small dense mat.

Author

Shizhe Li

Date

Oct/24/2021

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Copyright (C) 2021–present by the OpenCAEPoro team. All rights reserved.

Released under the terms of the GNU Lesser General Public License 3.0 or later.

Definition in file DenseMat.hpp.

Function Documentation

Dcopy()

void Dcopy	(	const int &	N,
		double *	dst,
		const double *	src
	)

Calculate the minimal eigenvalue for symmetric matrix with mkl lapack.

Copy a double vector from src to dst.

Definition at line 36 of file DenseMat.cpp.

{
    const int incx = 1, incy = 1;
    dcopy_(&N, src, &incx, dst, &incy);
}

References dcopy_().

ssyevd_()

int ssyevd_	(	char *	jobz,
		char *	uplo,
		const int *	n,
		float *	A,
		const int *	lda,
		float *	w,
		float *	work,
		const int *	lwork,
		int *	iwork,
		const int *	liwork,
		int *	info
	)

Computes the eigenvalues and, optionally, the leftand /or right eigenvectors for SY matrices