On positive definite solutions of the family of matrix equations X + A* X- n A = Q

Journal of Computational and Applied Mathematics

Volumn 193, Issue 1, 2006, Pages 277-301

  Ivanov, Ivan G ^a  

^a UNIVERSITY OF SOFIA   (Bulgaria)

Author keywords

Nonlinear matrix equation; Positive definite solution

Indexed keywords

COMPUTATIONAL METHODS; ITERATIVE METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PROBLEM SOLVING;

ITERATIVE PROCEDURES; NONLINEAR MATRIX EQUATIONS; POSITIVE DEFINITE SOLUTION;

NONLINEAR EQUATIONS;

EID: 33747880290     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2005.06.007     Document Type: Article

References (9)

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4. V. Hasanov, Solutions and Perturbation theory of nonlinear matrix equations, Ph.D. Thesis, Sofia, 2004 (in Bulgarian).
5. - q A = Q. Linear Algebra Appl. 404 (2005) 166-182
6. - n A = I, in: Proceedings of the Second International Conference on NAA 2000, Lecture Notes in Computer Science, vol. 1988, Springer, Berlin, 2001, pp.377-384.
7. V. Hasanov, I. Ivanov, Solutions and perturbation theory of a special matrix equation I: properties of solutions, in : Mathematics and Education in Mathematics, Proceedings of the Thirty Second Spring Conference of the Union of Bulgarian Mathematicians, Sofia, 2003, pp.244-248.
8. - n A = Q. Appl. Math. Comput. 156 (2004) 513-525
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