Author: "Zhibing, Liu" / Journal: journal of applied mathematics - Searchworks@Jio Institute Digital Library Search Results

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Start Over Author "Zhibing, Liu" Journal journal of applied mathematics

Author: Zhibing Liu, Yeying Xu, Kanmin Wang, and Chengfeng Xu
Subjects: Mathematics, QA1-939
Abstract: We consider the following inverse eigenvalue problem: to construct a special kind of matrix (real symmetric doubly arrow matrix) from the minimal and maximal eigenvalues of all its leading principal submatrices. The necessary and sufficient condition for the solvability of the problem is derived. Our results are constructive and they generate algorithmic procedures to construct such matrices.
Published: 2014
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Author: Kanmin Wang, Zhibing Liu, and Chengfeng Xu
Subjects: Mathematics, QA1-939
Abstract: In this paper, we develop a modified gradient based algorithm for solving matrix equations AXB+CXTD=F. Different from the gradient based method introduced by Xie et al., 2010, the information generated in the first half-iterative step is fully exploited and used to construct the approximate solution. Theoretical analysis shows that the new method converges under certain assumptions. Numerical results are given to verify the efficiency of the new method.
Published: 2014
Full Text: View/download PDF

Author: Chengfeng Xu, Zhibing Liu, and Kanmin Wang
Subjects: Matrix (mathematics), Article Subject, Gradient based algorithm, lcsh:Mathematics, Applied Mathematics, Conjugate gradient method, Applied mathematics, lcsh:QA1-939, Approximate solution, Algorithm, Gradient method, Mathematics
Abstract: In this paper, we develop a modified gradient based algorithm for solving matrix equationsAXB+CXTD=F. Different from the gradient based method introduced by Xie et al., 2010, the information generated in the first half-iterative step is fully exploited and used to construct the approximate solution. Theoretical analysis shows that the new method converges under certain assumptions. Numerical results are given to verify the efficiency of the new method.
Published: 2014
Full Text: View/download PDF

Author: Chengfeng Xu, Zhibing Liu, Yeying Xu, and Kanmin Wang
Subjects: Combinatorics, Pure mathematics, Matrix (mathematics), Article Subject, Applied Mathematics, lcsh:Mathematics, Inverse, Block matrix, Divide-and-conquer eigenvalue algorithm, lcsh:QA1-939, Constructive, Eigenvalues and eigenvectors, Mathematics
Abstract: We consider the following inverse eigenvalue problem: to construct a special kind of matrix (real symmetric doubly arrow matrix) from the minimal and maximal eigenvalues of all its leading principal submatrices. The necessary and sufficient condition for the solvability of the problem is derived. Our results are constructive and they generate algorithmic procedures to construct such matrices.
Published: 2014

Author: Kanmin Wang, Zhibing Liu, and Chengfeng Xu
Subjects: *MATRICES (Mathematics), *ITERATIVE methods (Mathematics), *NUMERICAL analysis, *APPROXIMATION theory, *ALGORITHMS
Abstract: In this paper, we develop a modified gradient based algorithm for solving matrix equations AXB + CXTD = F. Different from the gradient based method introduced by Xie et al., 2010, the information generated in the first half-iterative step is fully exploited and used to construct the approximate solution. Theoretical analysis shows that the new method converges under certain assumptions. Numerical results are given to verify the efficiency of the new method. [ABSTRACT FROM AUTHOR]
Published: 2014
Full Text: View/download PDF

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