The concept of the field of value to localize the spectrum of the iteration matrices of the skew-symmetric iterative methods is further exploited. Obtained formulas are derived to relate the fields of values of the or...
This paper deals with preconditioners for the iterative solution of the discrete Oseen problem with variable viscosity. The motivation of this work originates from numerical simulations of multiphase flow, governed by...
In this paper, we study two variational blind deblurring models for a single linage,The first model is to use the total variation prior in both image and blur, while the second model is to use the flame based prior in...
Supported by Deutsche Forschungsgemeinschaft through the DFG Research Center MATHEON‘Mathematics for key technologies’in Berlin;The authors wish to thank C.Melcher for pointing out the Example 4.1.
It is well understood that a good way to discretize a pointwise length constraint in partial differential equations or variational problems is to impose it at the nodes of a triangulation that defines a lowest order f...
The convergence analysis on the general iterative methods for the symmetric and positive semidefinite problems is presented in this paper. First, formulated are refined necessary and sumcient conditions for the energy...
The Hermitian positive definite solutions of the matrix equation X-A^*X^-2 A=I are studied. A theorem for existence of solutions is given for every complex matrix A. A solution in case A is normal is given. The basic...
The project was supported by National Science Foundation (Grant No. 10471129).
In this paper we propose the finite difference method for the forward-backward heat equation. We use a coarse-mesh second-order central difference scheme at the middle line mesh points and derive the error estimate. T...
A modification of classical third order methods is proposed. The main advantage of these methods is they do not need evaluate any second order Frechet derivative. A convergence theorem in Banach spaces is analyzed. Fi...
the Special Funds for Major State Basic Research Projects G1999032803;Supported by the National Natural Science Foundation of China (19601036).
Presents a study of the numerical behaviors of the relaxed asynchronous multisplitting methods for linear complementarity problems by solving typical problems from practical applications on a real multiprocessor syste...
the National Natural Science Foundation of China (19601036) and Subsidized by the SpecialFunds for Major State Basic Research
Focuses on a study which presented a parallel chaotic multisplitting method for solving the large sparse linear complementarity problem. Preliminaries of the study; Equations of the parallel chaotic multisplitting met...