Implementation Vector-Matrix functions. More...

#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
#include "defs_and_types.h"
#include "Matrix.h"
#include "SVD_Descomposition.h"

Functions
double **	create_Double_Matrix (int rows, int cols)

double **	Identity_Double_Matrix (int Dimension)

int **	create_Integer_Matrix (int rows, int cols)

int **	Identity_Integer_Matrix (int Dimension)

char **	create_Char_Matrix (int rows, int cols)

void	free_Double_Matrix (int rows, double **Matrix)

void	free_Inetger_Matrix (int rows, int **Matrix)

void	free_Char_Matrix (int rows, char **Matrix)

void	Copy_Double_Vector (int length, double Destiny, double Sources)

void	Copy_Double_Matrix (int rows, int cols, double Destiny, double Sources)

void	print_Double_Vector (int length, double *Vector)

void	print_Double_Matrix (int rows, int cols, double **Matrix)

double **	Transpose_Matrix (int rows, int cols, double **Matrix)

void	Vector_Add_Vector (int length, double Source, double Destiny)

void	Vector_Subtract_Vector (int length, double Source, double Destiny)

void	Matrix_Multiplication_Scalar (int rows, int cols, double **Matrix, double Scalar)

double *	Matrix_Vector_Multiplication (int rows, int cols, double *Matrix, double Vector)

double **	Matrix_Matrix_Multiplication (int rows, int cols, int intermedia, double Matrix_1, double Matrix_2)

void	Matrix_Vector_Mult (int rows, int cols, double *Matrix, double Vector, double *Ans)

void	Matrix_Matrix_Mult (int rows, int cols, int intermedia, double Matrix_1, double Matrix_2, double **Ans)

void	Matrix_Add_Matrix (int rows, int cols, double Source, double Destiny)

void	Matrix_Substract_Matrix (int rows, int cols, double Source, double Destiny)

void	Matrix_Complete_Symmetry (int size, double **Matrix)

double	Dot_Product (int length, double Vector_1, double Vector_2)

double	Norm_L2 (int length, double *Vector)

double	Norm_Forbenius (int rows, int cols, double **Matrix)

double	Norm_One (int rows, int cols, double **Matrix)

double	Norm_Infinity (int rows, int cols, double **Matrix)

void	LU_Crout_Descomp (int length, double **A)

double *	LU_Crout_Solver (int length, double *A, double VO)

void	LU_Cholesky_Diagonal_Descomp (int length, double **A)

double *	LU_Cholesky_Diagonal_Solver (int length, double *A, double VO)

int	LU_Cholesky_Diagonal_Check (int Dimension, double **LU, double min)

int	Check_PositiveDef_Matrix (int Dimension, double **Matrix, double min)

void	Set_PositiveDef_Matrix (int Dimension, double **Matrix)

double **	Inverse_Matrix (int length, double **Matrix)

double	Power_Method (int length, double *Matrix, int Max_Iterations, double Tolerance, double Eigenvector)

double *	Power_Method_Def (int length, int displacement, double Matrix, int Max_Iterations, double Tolerance, double Eigenvector)

double	Inverse_Power_Method (int length, double *Matrix, int Max_Iterations, double Tolerance, double Eigenvector)

double *	Inverse_Power_Method_Def (int length, int displacement, double Matrix, int Max_Iterations, double Tolerance, double Eigenvector)

double	Conditon_Number (int length, double **Matrix)

double	Inverse_Conditon_Number (int length, double **Matrix)

Detailed Description

Implementation Vector-Matrix functions.

Implementation of Matrix and Vector operator as: Create, delete, dot-product, adding, subtracting, multiplying, norms, decomposition , inverse and linear equation solvers.

Author: Salvador Botello-Aceves

Bug:: No known bugs.

Function Documentation

int Check_PositiveDef_Matrix	(	int	Dimension,
		double **	Matrix,
		double	min
	)

RECIBE: Dimension del problema, Matriz a checar ENTREGA: Bandera de Matriz Definida Positiva

void LU_Cholesky_Diagonal_Descomp	(	int	length,
		double **	A
	)

RECIBE: Tamaño, Matriz ENTREGA: –

double* LU_Cholesky_Diagonal_Solver	(	int	length,
		double **	A,
		double *	VO
	)

RECIBE: Tamaño, Matriz, Vector ENTREGA: Vector Solucion

double* Matrix_Vector_Multiplication	(	int	rows,
		int	cols,
		double **	Matrix,
		double *	Vector
	)

RECIBE: Renglones, Columnas, Matriz, Vector ENTREGA: Vector resultante

Functions

Detailed Description

Function Documentation