iterativematrix {cmna} R Documentation

## Solve a matrix using iterative methods

### Description

Solve a matrix using iterative methods.

### Usage

jacobi(A, b, tol = 1e-06, maxiter = 100)

gaussseidel(A, b, tol = 1e-06, maxiter = 100)

cgmmatrix(A, b, tol = 1e-06, maxiter = 100)


### Arguments

 A a square matrix representing the coefficients of a linear system b a vector representing the right-hand side of the linear system tol is a number representing the error tolerence maxiter is the maximum number of iterations

### Details

jacobi finds the solution using Jacobi iteration. Jacobi iteration depends on the matrix being diagonally-dominate. The tolerence is specified the norm of the solution vector.

gaussseidel finds the solution using Gauss-Seidel iteration. Gauss-Seidel iteration depends on the matrix being either diagonally-dominate or symmetric and positive definite.

cgmmatrix finds the solution using the conjugate gradient method. The conjugate gradient method depends on the matrix being symmetric and positive definite.

### Value

the solution vector

Other linear: choleskymatrix(), detmatrix(), gdls(), invmatrix(), lumatrix(), refmatrix(), rowops, tridiagmatrix(), vecnorm()
A <- matrix(c(5, 2, 1, 2, 7, 3, 3, 4, 8), 3)