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초록
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.
키워드
nonlinear matrix equation; positive definite solution; inversion-free variant iterative method; convergence rate; POSITIVE-DEFINITE SOLUTION; EXISTENCE
- 제목
- The iterative methods for solving nonlinear matrix equation X plus A(star)X(-1)A plus (BX-1B)-X-star = Q
- 저자
- Vaezzadeh, Sarah; Vaezpour, Seyyed Mansour; Saadati, Reza; Park, Choonkil
- 발행일
- 2013-08
- 유형
- Article
- 페이지
- 1 ~ 10