On two perturbation estimates of the extreme solutions to the equations X ± A*X-1A = Q

Linear Algebra and Its Applications

Volumn 413, Issue 1, 2006, Pages 81-92

  Hasanov, V I ^a   Ivanov, I G ^b  

^a SHUMEN UNIVERSITY   (Bulgaria)

^b UNIVERSITY OF SOFIA   (Bulgaria)

Author keywords

Nonlinear matrix equation; Perturbation estimates

Indexed keywords

MATRIX ALGEBRA; NONLINEAR EQUATIONS; PARAMETER ESTIMATION;

EXTREME SOLUTIONS; MAXIMAL POSITIVE DEFINITE SOLUTIONS; NONLINEAR MATRIX EQUATION; PERTURBATION ESTIMATES;

PERTURBATION TECHNIQUES;

EID: 29344460370     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2005.08.013     Document Type: Article

References (9)

1. -1A = Q Linear Algebra Appl. 186 1993 255 275
2. C.-H. Guo, and P. Lancaster Iterative solution of two matrix equations Math. Comput. 68 1999 1589 1603
3. -1N* Linear Algebra Appl. 247 1996 359 373
4. -1A = I iteratively Math. Comput. 74 2005 263 278
5. -1A = Q Linear Algebra Appl. 379 2004 113 135
6. J.M. Ortega, and W.C. Rheinboldt Iterative Solution of Nonlinear Equations in Several Variables 1970 Academic Press New York (in Russian 1975)
7. J.-G. Sun Perturbation analysis of the matrix equation X = Q + A H (X ̂ - C ) - 1 A Linear Algebra Appl. 362 2003 211 228
8. -1A = P. II Linear Algebra Appl. 362 2003 211 228
9. -1A = P Linear Algebra Appl. 336 2001 61 70