Positive definite solution of the matrix equation X = Q − A∗X −1A + B∗X −1B via Bhaskar-Lakshmikantham fixed point theorem
Authors:
- Maher BerzigMBMaher Berzig
- Bessem SametBSBessem Samet
Open Access
- 1 January 2012
- journal article
- Published by Springer Nature in Mathematical Sciences
- Vol. 6 (1)
Abstract
No abstract availableThis publication has 21 references indexed in Scilit:
- An extension of coupled fixed point’s concept in higher dimension and applicationsComputers & Mathematics with Applications, 2012
- Coupled fixed point theorems for a generalized Meir–Keeler contraction in partially ordered metric spacesNonlinear Analysis, 2010
- A note on the fixed-point iteration for the matrix equationsLinear Algebra and its Applications, 2008
- Iterative methods for the extremal positive definite solution of the matrix equationJournal of Computational and Applied Mathematics, 2007
- On positive definite solution of a nonlinear matrix equationNumerical Linear Algebra with Applications, 2006
- Fixed point theorems in partially ordered metric spaces and applicationsNonlinear Analysis, 2006
- On positive definite solutions of the family of matrix equationsJournal of Computational and Applied Mathematics, 2006
- Improved methods and starting values to solve the matrix equations 𝑋±𝐴*𝑋⁻¹𝐴=𝐼 iterativelyMathematics of Computation, 2004
- Efficient computation of the extreme solutions of 𝑋+𝐴*𝑋⁻¹𝐴=𝑄 and 𝑋-𝐴*𝑋⁻¹𝐴=𝑄Mathematics of Computation, 2001
- Iterative solution of two matrix equationsMathematics of Computation, 1999