Z-MATRIX

作品数：7被引量：6H指数：2
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相关期刊：《Chinese Physics Letters》《Acta Mathematicae Applicatae Sinica》《Applied Mathematics and Mechanics(English Edition)》《Advances in Linear Algebra & Matrix Theory》更多>>
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Non-Singularity Conditions for Two Z-Matrix Types
《Advances in Linear Algebra & Matrix Theory》2014年第2期109-119,共11页Shinji Miura 
A real square matrix whose non-diagonal elements are non-positive is called a Z-matrix. This paper shows a necessary and sufficient condition for non-singularity of two types of Z-matrices. The first is for the Z-matr...
关键词：Z-MATRIX M-MATRIX Non-Negative Matrix DIAGONAL DOMINANCE 
A Modified Precondition in the Gauss-Seidel Method
《Advances in Linear Algebra & Matrix Theory》2012年第3期31-37,共7页Alimohammad Nazari Sajjad Zia Borujeni 
In recent years, a number of preconditioners have been applied to solve the linear systems with Gauss-Seidel method (see [1-7,10-12,14-16]). In this paper we use Sl instead of (S + Sm) and compare with M. Morimoto’s ...
关键词：PRECONDITIONING GAUSS-SEIDEL Method Regular SPLITTING Z-MATRIX NONNEGATIVE Matrix 
Multidimensional Z-Matrix with Control Parameters and Its Applications in Image Encryption
《Chinese Physics Letters》2009年第6期51-54,共4页赵亮 廖晓峰 向涛 肖迪 
Supported by the National Natural Science Foundation of China under Grant No 60703035, the National Science Foundation for Post-doctoral Scientists of China under Grant No 20080430741, the Natural Science Foundation of Chongqing under Grant Nos 2008BB2182 and 2008BB2193, the Postgra4uate Technology Innovation Foundation of Chongqing University under Grant No 200903A1B0010303, the Program for New Century Excellent Talents in University of China under Grant No NCET-08-0603, the Natural Science Foundation Project of Chongqing under Grant No CSTC2009BA2024.
An n-dimensional Z-matrix with control parameters is presented, and its periodicity and chaos are testified. Experimental results show that the proposed Z-matrix has a long period and changeable periodicity with diffe...
关键词：gamma-ray bursts GAMMA-RAYS RELATIVITY 
The Optimal Preconditioner of Strictly Diagonally Dominant Z-matrix被引量：3
《Acta Mathematicae Applicatae Sinica》2008年第2期305-312,共8页Ji-cheng Li Wei Li 
Shaanxi Province Natural Science Foundation,2007A16,China
In this paper, we present a series of new preconditioners with parameters of strictly diagonally dominant Z-matrix, which contain properly two kinds of known preconditioners as special cases. Moreover, we prove the mo...
关键词：Preconditioned method ITERATION SPLITTING linear system 
PRECONDITIONED GAUSS-SEIDEL TYPE ITERATIVE METHOD FOR SOLVING LINEAR SYSTEMS被引量：3
《Applied Mathematics and Mechanics(English Edition)》2006年第9期1275-1279,共5页程光辉 黄廷祝 成孝予 
Project supported by MOE's 2004 New Century Excellent Talent Program (NCET)the Applied Basic Research Foundations of Sichuan Province (No.05JY029-068-2)
The preconditioned Gauss-Seidel type iterative method for solving linear systems, with the proper choice of the preconditioner, is presented. Convergence of the preconditioned method applied to Z-matrices is discussed...
关键词：Gauss-Seidel method preconditioned iterative method Z-MATRIX 
ON THE SPECTRAL PROPERTIES OF M-MATRICES AND ITS APPLICATIONS
《Acta Mathematicae Applicatae Sinica》1999年第4期418-424,共7页黎稳 孙伟伟 
Let A be an M-matrix and B be a Z-matrix. In this paper we reveal the spectral relationship of A and B under some interesting conditions. Applying this result, we solve an open problem on splittings of an M-matrix and...
关键词：M-MATRIX Z-MATRIX reduced graph singular graph level diagram splitting 
ON　THE　CONVERGENCE　OF　SPLITTINGS　FOR　A　Z-MATRIX
《Applied Mathematics(A Journal of Chinese Universities)》1997年第1期89-98,共10页LI WEN 
In this paper, first we present a characterization of semiconvergence for nonnegative splittings of a singular Z matrix, which generalizes the corresponding result of . Second, a characterization of convergence for ...
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