Convergence theory for the general GAOR type iterative method and the MSOR iterative method applied to H-matrices

Convergence of GAOR Iterative Method with Strictly α Diagonally Dominant Matrices

Guangbin Wang, Hao Wen, and Ting Wang Department of Mathematics, Qingdao University of Science and Technology, Qingdao 266061, China Correspondence should be addressed to Guangbin Wang, [email protected] Received 11 June 2011; Revised 20 September 2011; Accepted 22 September 2011 Academic Editor: Yongkun Li Copyright q 2011 Guangbin Wang et al. This is an open access article distributed ...

Convergence of iterative methods applied to Burgers-Huxley equation

The spectral iterative method for Solving Fractional-Order Logistic ‎Equation

In this paper, a new spectral-iterative method is employed to give approximate solutions of fractional logistic differential equation. This approach is based on combination of two different methods, i.e. the iterative method cite{35} and the spectral method. The method reduces the differential equation to systems of linear algebraic equations and then the resulting systems are solved by a numer...

Preconditioned Mixed-Type Splitting Iterative Method For Z-Matrices

In this paper, we present the preconditioned mixed-type splitting iterative method for solving the linear systems, Ax = b, where A is a Z-matrix. And we give some comparison theorems to show that the convergence rate of the preconditioned mixed-type splitting iterative method is faster than that of the mixed-type splitting iterative method. Finally, we give a numerical example to illustrate our...

Computing the Matrix Geometric Mean of Two HPD Matrices: A Stable Iterative Method

A new iteration scheme for computing the sign of a matrix which has no pure imaginary eigenvalues is presented. Then, by applying a well-known identity in matrix functions theory, an algorithm for computing the geometric mean of two Hermitian positive definite matrices is constructed. Moreover, another efficient algorithm for this purpose is derived free from the computation of principal matrix...