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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
- Issue Date
- Aug-2013
- Publisher
- Hindawi Publishing Corporation
- Keywords
- nonlinear matrix equation; positive definite solution; inversion-free variant iterative method; convergence rate
- Citation
- Advances in Difference Equations, pp 1 - 10
- Pages
- 10
- Indexed
- SCIE
SCOPUS
- Journal Title
- Advances in Difference Equations
- Start Page
- 1
- End Page
- 10
- ISSN
- 1687-1839
1687-1847
- Abstract
- In this paper, we study the matrix equation , 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.
- Appears in
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