This work was supported by the National Natural Science Foundation of China(Grant No.11771275);the Science and Technology Program of Shandong Universities(No.J16LI04).
In this paper,we present a modulus-based multisplitting iteration method based on multisplitting of the system matrix for a class of weakly nonlinear complementarity problem.And we prove the convergence of the method ...
supported by National Natural Science Foundation of China(11571292,11471279);National Natural Science Foundation for Youths of China(11401505);the Key Project of National Natural Science Foundation of China(91430213),the first class General Financial Grant from the China Postdoctoral Science Foundation(2015M582819);the General Project of Hunan Provincial Natural Science Foundation of China(2015JJ2134).
The distribution for eigenvalues of Schur complement of matrices plays an important role in many mathematical problems.In this paper,we firstly present some criteria for H-matrix.Then as application,for two class matr...
Project supported by the National Natural Science Foundation of China (No.10671164);Hunan Provice Key Laboratory for Computation and Simulation in Science and Engineering
By using a continuous transition method of a matrix and the estimate for spectral radius of a sub-matrix etc., decision methods for a generalized H-matrix under positive definite matrix conditions are researched. Some...
The work was done in the state key laboratory of advanced design and manufacture for vehicle body of Hunan university;973 national project of China granted 2004CB719402;the National Natural Science Foundation of China(No.10371035)
We consider several synchronous and asynchronous multisplitting iteration schemes for solving a class of nonlinear complementarity problems with the system matrix being an H-matrix. We establish the convergence theore...
Supported by the National Nature Science Foundation of China (No. 60372012).
As it is well known, it is significant to know whether a matrix is an H-matrix or not in stability analysis of linear control systems. However, to distinguish H-matrices is difficult in real applications. In this pape...
This work is supported by the Science Foundations of the Education Department of Yunnan Province (03Z169A) and the Science Foundations of Yunnan University (2003Z013C).
In this paper, some new results on the estimations of bounds for determinant of Hadamard Product of two H-matrices are given. Several recent results are improved and generalized.
Foundation item: This work is supported by the Science Foundations of the Education Department of Yunnan Province (03Z169A);the Science Foundatons of Yunnan University (2003Z013B).
A direct algorithm is proposed by which one can distinguish whether a matrix is an M-matrix (or H-matrix) or not quickly and effectively. Numerical examples show that it is effective and convincible to distinguish M-m...
Supported by Natural Science Foundation of Shanxi Province (No.20011041).
We first provide a simple estimate for || A-1||∞and||A-1||1 of a strictly diagonally dominant matrix A. On the Basis of the result, we obtain an estimate for the smallest singular value of A. Secondly, by scaling wit...
The block H-matrices are studied by the concept of G-functions, several concepts of block matrices are introduced. Equivalent characters of block H-matrices are obtained. Spectrum localizations characterized by G-func...