matrix_tuple.h File Reference

Defines functions and structures for matrix tuple operations in C3E. More...

#include <c3e/commons.h>

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Functions
c3e_matrix_tuple	c3e_matrix_qr_decomp (c3e_matrix *matrix)
	Computes the QR decomposition of a given matrix.
c3e_matrix_tuple	c3e_matrix_lu_decomp (c3e_matrix *original)
	Computes the LU decomposition of a given matrix.
void	c3e_matrix_tuple_free (c3e_matrix_tuple tuple)
	Frees the memory allocated for a matrix tuple.

Detailed Description

Author

Nathanne Isip

This header file provides the declarations for functions related to matrix tuple operations, including QR decomposition and LU decomposition. It also includes a function for freeing matrix tuples.

Function Documentation

c3e_matrix_lu_decomp()

c3e_matrix_tuple c3e_matrix_lu_decomp

(

c3e_matrix *

original

)

This function decomposes a given matrix into a product of a lower triangular matrix (L) and an upper triangular matrix (U). The input matrix should be a square matrix.

Parameters

original

Pointer to the original matrix to be decomposed.

Returns

A structure containing the matrices L and U.

c3e_matrix_qr_decomp()

c3e_matrix_tuple c3e_matrix_qr_decomp

(

c3e_matrix *

matrix

)

This function decomposes a given matrix into a product of an orthogonal matrix (Q) and an upper triangular matrix (R).

Parameters

matrix

Pointer to the matrix to be decomposed.

Returns

A structure containing the matrices Q and R.

c3e_matrix_tuple_free()

void c3e_matrix_tuple_free

(

c3e_matrix_tuple

tuple

)

This function should be called to free the memory allocated for the matrices in the tuple returned by the decomposition functions.

Parameters

tuple

The matrix tuple to be freed.