We present a nested splitting conjugate gradient iteration method for solving large sparse continuous Sylvester equation, in which both coefficient matrices are (non-Hermitian) positive semi-definite, and at least one of them is positive definite. This method is actually inner/outer iterations, which employs the Sylvester conjugate gradient method as inner iteration to approximate each outer it...

In this article we apply proper splittings of matrices to develop an iterative process approximate solutions matrix equations the form TX=W. Moreover, by using partial order induced positive semidefinite matrices, obtain equivalent conditions convergence process. We also include some speed comparison results method. addition, for all T propose a splitting based on polar decomposition T.

a constitutive model based on two–dimensional unstructured galerkin finite volume method (gfvm) is introduced and applied for analyzing nonlinear behavior of cracked concrete structures in equilibrium condition. the developed iterative solver treats concrete as an orthotropic nonlinear material and considers the softening and hardening behavior of concrete under compression and tension by using...