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Orthogonality to matrix subspaces, and a distance formula

Article ID Journal Published Year Pages File Type
4599754 Linear Algebra and its Applications 2014 9 Pages PDF
Abstract

We obtain a necessary and sufficient condition for a matrix A   to be Birkhoff–James orthogonal to any subspace WW of Mn(C)Mn(C). Using this we obtain an expression for the distance of A   from any unital C⁎C⁎-subalgebra of Mn(C)Mn(C).

Keywords
15A6015A09Singular value decomposition, SVDPinchingSubdifferentialMoore?Penrose inverseVariance
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Preview
Orthogonality to matrix subspaces, and a distance formula
Authors
Priyanka Grover,
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Journal
Linear Algebra and its Applications
Journal: Linear Algebra and its Applications
Related Categories
15A60
15A09
Singular value decomposition, SVD
Pinching
Subdifferential
Moore?Penrose inverse
Variance
Algebra and Number Theory
Analysis
Applied Mathematics
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Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
Modelling and Simulation
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Statistics and Probability
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