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The iterative methods for solving nonlinear matrix equation X plus A(star)X(-1)A plus (BX-1B)-X-star = Q
- Title
- The iterative methods for solving nonlinear matrix equation X plus A(star)X(-1)A plus (BX-1B)-X-star = Q
- Author
- 박춘길
- Keywords
- nonlinear matrix equation; positive definite solution; inversion-free; variant iterative method; convergence rate
- Issue Date
- 2013-08
- Publisher
- SPRINGER INTERNATIONAL PUBLISHING AG
- Citation
- Advances in Difference Equations, December 2013, 2013:229
- Abstract
- In this paper, we study the matrix equation X + AX?1A + BX?1B = Q, where A and B are square matrices, and Q is a positive definite matrix, and propose the iterative methods for finding positive definite solutions of the matrix equation. Also, general convergence results for the basic fixed point iteration for these equations are given. Some numerical examples are presented to show the usefulness of the iterations.
- URI
- https://link.springer.com/article/10.1186/1687-1847-2013-229https://repository.hanyang.ac.kr/handle/20.500.11754/73152
- ISSN
- 1687-1847
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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