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Perturbation analysis for solutions of X ± A*X−nA = Q

Article ID Journal Published Year Pages File Type
9498620 Linear Algebra and its Applications 2005 19 Pages PDF
Abstract
The nonlinear matrix equations X ± A*X−nA = Q are investigated. New perturbation estimates for positive definite solutions of these equations are derived. The new results are illustrated by numerical examples.
Keywords
65F3515A4515A24Perturbation boundPositive definite solutionNonlinear matrix equation
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Perturbation analysis for solutions of X ± A*X−nA = Q
Authors
I.G. Ivanov,
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Journal
Linear Algebra and its Applications
Journal: Linear Algebra and its Applications
Related Categories
65F35
15A45
15A24
Perturbation bound
Positive definite solution
Nonlinear matrix equation
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
Modelling and Simulation
Numerical Analysis
Statistics and Probability
Theoretical Computer Science
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Journal of Symbolic Computation
Expositiones Mathematicae
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