On the estimate of the distance to non-invertibility

DOI10.1007/s10013-019-00352-8zbMath1444.47022OpenAlexW2945212270MaRDI QIDQ2174230

Do Cong Khanh, Nguyen Cao Tri, Duong Dang Xuan Thanh

Publication date: 21 April 2020

Published in: Vietnam Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10013-019-00352-8

zbMATH Keywords

spectral radiusstructured perturbationsstructured distancedistance to non-invertibilityinvertibility radius

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Operators on Banach spaces (47B01)

Cites Work

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• The structured distance to non-surjectivity and its application to calculating the controllability radius of descriptor systems
• Approximation by invertible and noninvertible operators
• A characterization of the distance to infeasibility under block-structured perturbations
• The surjectivity radius, packing numbers and boundedness below of linear operators
• Linear programming, complexity theory and elementary functional analysis
• On the block-structured distance to non-surjectivity of sublinear mappings
• The Structured Distance to Ill-Posedness for Conic Systems
• Spectral theory of linear operators and spectral systems in Banach algebras

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