Qualitative analysis of matrix splitting methods

Qualitative Analysis Methods

Convergence analysis of modulus-based matrix splitting iterative methods for implicit complementarity problems

In this paper, we demonstrate a complete version of the convergence theory of the modulus-based matrix splitting iteration methods for solving a class of implicit complementarity problems proposed by Hong and Li (Numer. Linear Algebra Appl. 23:629-641, 2016). New convergence conditions are presented when the system matrix is a positive-definite matrix and an [Formula: see text]-matrix, respecti...

Convergence Analysis for Operator Splitting Methods

We analyze the order of convergence for operator splitting methods applied to conservation laws with stii source terms. We suppose that the source term q(u) is dissipative. It is proved that the L 1 error introduced by the time-splitting can be bounded by O((tkq(u 0)k L 1 (R)), which is an improvement of the O(Qt) upper bound, where t is the splitting time step, Q is the Lipschitz constant of q...

Convergence Properties of Hermitian and Skew Hermitian Splitting Methods

In this paper we consider the solutions of linear systems of saddle point problems‎. ‎By using the spectrum of a quadratic matrix polynomial‎, ‎we study the eigenvalues of the iterative matrix of the Hermitian and skew Hermitian splitting method‎.

Investigating Different Methods of Closed Shell Pistachios Splitting and Effects of Freezing Prior to Drying on Shell Splitting Percentage

In this study, different methods for shell splitting and the effect of freezing prior to drying on shell splitting percentage of pistachio were investigated. A completely randomized design was used to investigate the effects of different freezing temperatures (0, -6, -12 and -18°C), different drying temperatures (80, 90 and 100°C) and different cultivars (Akbari and Kalehghouchi) on shell split...