Operations about small dense mat. More...

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

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

void	MinEigenSY (const int &N, float A, float w, float *work, const int &lwork)
	Calculate the minimal eigenvalue for sysmetric matrix with mkl lapack.

void	Dcopy (const int &N, double dst, const double src)
	Calculate the minimal eigenvalue for sysmetric 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.

void	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

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 sysmetric matrix with mkl lapack.

Copy a double vector from src to dst.

Definition at line 37 of file DenseMat.cpp.

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

References dcopy_().

Functions

Detailed Description

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

Function Documentation

◆ Dcopy()