cg_squared


cg_squared, an Octave code which implements the conjugate gradient squared method (CGS) method for solving a nonsymmetric sparse linear system.

Licensing:

The computer code and data files made available on this web page are distributed under the MIT license

Languages:

cg_squared is available in a MATLAB version and an Octave version.

Related Data and Programs:

cg_squared_test

bicg, an Octave code which implements the biconjugate gradient method (BICG), which estimates the solution of a large sparse nonsymmetric linear system.

cg, an Octave code which implements a simple version of the conjugate gradient (CG) method for solving a system of linear equations of the form A*x=b, suitable for situations where the matrix A is symmetric positive definite (SPD) (only real, positive eigenvalues).

cg_rc, an Octave code which implements the conjugate gradient method for solving a positive definite sparse linear system A*x=b, using reverse communication.

cgne, an Octave code which implements the conjugate gradient method (CG) for the normal equations, that is, a method for solving a system of linear equations of the form A*x=b, where the matrix A is not symmetric positive definite (SPD). In this case, it is attempted to set up and solve the normal equations A'*A*x=A'*b.

gmres, an Octave code which applies the Generalized Minimum Residual (GMRES) method to solve a nonsymmetric sparse linear system.

sor, an Octave code which implements a simple version of the successive over-relaxation (SOR) method for the iteration solution of a linear system of equations.

Reference:

  1. William Layton, Myron Sussman,
    Numerical Linear Algebra,
    ISBN13: 978-1-312-32985-0.

Source Code:


Last revised on 01 July 2023.