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Perturbation bounds for Mostow's decomposition and the bipolar decomposition

Article ID Journal Published Year Pages File Type
5773258 Linear Algebra and its Applications 2017 18 Pages PDF
Abstract
Perturbation bounds for Mostow's decomposition and the bipolar decomposition of matrices have been computed. To do so, expressions for the derivative of the geometric mean of two positive definite matrices have been derived.
Keywords
47A3015A2315A4547A6447A5565F60Polar decompositionMatrix factorizationsPerturbation boundsDerivativeGeometric mean
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Perturbation bounds for Mostow's decomposition and the bipolar decomposition
Authors
Priyanka Grover, Pradip Mishra,
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Journal
Linear Algebra and its Applications
Journal: Linear Algebra and its Applications
Related Categories
47A30
15A23
15A45
47A64
47A55
65F60
Polar decomposition
Matrix factorizations
Perturbation bounds
Derivative
Geometric mean
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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Journal of Pure and Applied Algebra
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