6.2.1 vsip_dtoepsol_p - Solve a Toeplitz System of Equations

int vsip_toepsol_f(const vsip_vview_f* t, const vsip_vview_f* r, const vsip_vview_f* b, const vsip_vview_f* x); 
int vsip_ctoepsol_f(const vsip_cvview_f* t, const vsip_cvview_f* r, const vsip_cvview_f* b, const vsip_cvview_f* x);

Description

This function solves a real Toeplitz system of linear equations , where T is a symmetric Toeplitz matrix defined by its first column t and first row r, b is the right-hand side vector, and x is the solution vector. The Toeplitz matrix has constant diagonals, with the first column t and first row r defining the matrix structure.

Parameters

• const vsip_dvview_p* t: Pointer to the vector view containing the first column of the Toeplitz matrix.

• const vsip_dvview_p* r: Pointer to the vector view containing the first row of the Toeplitz matrix.

• const vsip_dvview_p* b: Pointer to the vector view containing the right-hand side vector.

• const vsip_dvview_p* x: Pointer to the vector view where the solution will be stored.

Return Value

• Returns 0 on success.

• Returns a non-zero value on error (e.g., if the Toeplitz matrix is singular).

Example

vsip_vview_f *toeplitz_col; 
vsip_vview_f *toeplitz_row; 
vsip_vview_f *rhs_vector; 
vsip_vview_f *solution_vector; 
int result; 
 
// Assuming all vector views have been properly initialized 
result = vsip_toepsol_f(toeplitz_col, toeplitz_row, rhs_vector, solution_vector); 
 
if (result != 0) { 
    // Handle error (e.g., singular matrix) 
}