Functions for Singular Value Decomposition (SVD) in the C3E library. More...

#include <c3e/commons.h>

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Functions
c3e_svd	c3e_svd_init (c3e_matrix *matrix)
	Initializes and computes the Singular Value Decomposition (SVD) of a matrix.

void	c3e_svd_free (c3e_svd svd)
	Frees the resources associated with an SVD decomposition.

Detailed Description

Author: Nathanne Isip

This file provides functions for performing Singular Value Decomposition (SVD) on matrices within the C3E library. SVD is a matrix factorization technique used in various applications including dimensionality reduction, data compression, and numerical stability.

Function Documentation

◆ c3e_svd_free()

void c3e_svd_free ( c3e_svd svd )

This function deallocates memory used by the c3e_svd structure, which includes freeing memory for the left singular vectors, right singular vectors, and singular values.

Parameters

svd	The `c3e_svd` structure to be freed.

◆ c3e_svd_init()

c3e_svd c3e_svd_init ( c3e_matrix * matrix )

This function performs SVD on the given matrix and returns the decomposition components, which include the left singular vectors, right singular vectors, and the singular values.

Parameters

matrix Pointer to the matrix to be decomposed.

Returns

A c3e_svd structure containing the results of the SVD computation, including:

left: Matrix containing the left singular vectors.
right: Matrix containing the right singular vectors.
singular: Vector containing the singular values.