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New Criteria for Judging Generalized Strictly Diagonally Dominant Matrix 被引量:1
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作者 ZHANG Jin-song 《Chinese Quarterly Journal of Mathematics》 2015年第2期166-171,共6页
Generalized strictly diagonally dominant matrices play a wide and important role in computational mathematics, mathematical physics, theory of dynamical systems, etc.But it is difficult to judge a matrix is or not gen... Generalized strictly diagonally dominant matrices play a wide and important role in computational mathematics, mathematical physics, theory of dynamical systems, etc.But it is difficult to judge a matrix is or not generalized strictly diagonally dominant matrix.In this paper, by using the properties of α-chain diagonally dominant matrix, we obtain new criteria for judging generalized strictly diagonally dominant matrix, which enlarge the identification range. 展开更多
关键词 generalized strictly diagonally dominant matrix CRITERIA s-chain diagonallydominant matrix
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A New Approximation to the Linear Matrix Equation AX = B by Modification of He’s Homotopy Perturbation Method 被引量:1
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作者 Amir Sadeghi 《Advances in Linear Algebra & Matrix Theory》 2016年第2期23-30,共8页
It is well known that the matrix equations play a significant role in engineering and applicable sciences. In this research article, a new modification of the homotopy perturbation method (HPM) will be proposed to obt... It is well known that the matrix equations play a significant role in engineering and applicable sciences. In this research article, a new modification of the homotopy perturbation method (HPM) will be proposed to obtain the approximated solution of the matrix equation in the form AX = B. Moreover, the conditions are deduced to check the convergence of the homotopy series. Numerical implementations are adapted to illustrate the properties of the modified method. 展开更多
关键词 matrix Equation Homotopy Perturbation Method CONVERGENCE diagonally dominant matrix Regular Splitting
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Sufficient Conditions of Nonsingular H-matrices
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作者 王广彬 洪振杰 高中喜 《Journal of Shanghai University(English Edition)》 CAS 2004年第1期35-37,共3页
From the concept of α diagonally dominant matrix, two sufficient conditions of nonsingular H-matrices were obtained in this paper. An example was given to show that these results improve the known results.
关键词 diagonally dominant matrix nonsingular H-matrix.
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Necessary and Sufficient Condition for Generalized Diagonal Dominance Matrices 被引量:1
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作者 杨益民 《Chinese Quarterly Journal of Mathematics》 CSCD 1996年第2期26-29,共4页
In the paper,a necessary and sufficeent condition for generalized diagonal domiance matrices is given.Further, the relations among all generalized positive definite matrices are shown, also,some flaws and mistakes in... In the paper,a necessary and sufficeent condition for generalized diagonal domiance matrices is given.Further, the relations among all generalized positive definite matrices are shown, also,some flaws and mistakes in the references are corrected. 展开更多
关键词 generalized diagonal dominance matrix generalized positive definite matrix M-matrix
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