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On the positive definite solutions of nonlinear matrix equation X + A ⋆ X −δ A = Q
- Source :
-
Linear Algebra & its Applications . Jan2006, Vol. 412 Issue 2/3, p154-160. 7p. - Publication Year :
- 2006
-
Abstract
- Abstract: In this paper we consider the positive definite solutions of nonlinear matrix equation X + A ⋆ X −δ A = Q, where δ ∈(0,1], which appears for the first time in [S.M. El-Sayed, A.C.M. Ran, On an iteration methods for solving a class of nonlinear matrix equations, SIAM J. Matrix Anal. Appl. 23 (2001) 632–645]. The necessary and sufficient conditions for the existence of a solution are derived. An iterative algorithm for obtaining the positive definite solutions of the equation is discussed. The error estimations are found. [Copyright &y& Elsevier]
- Subjects :
- *MATRICES (Mathematics)
*EQUATIONS
*ALGORITHMS
Subjects
Details
- Language :
- English
- ISSN :
- 00243795
- Volume :
- 412
- Issue :
- 2/3
- Database :
- Academic Search Index
- Journal :
- Linear Algebra & its Applications
- Publication Type :
- Academic Journal
- Accession number :
- 19045513
- Full Text :
- https://doi.org/10.1016/j.laa.2005.06.026