\( (P,Q)-{\varepsilon} \)-pseudo condition spectrum for \(2\times 2\) matrices. Linear operator and application

DOI10.3103/S1068362323040027zbMath1526.15001MaRDI QIDQ6060285

Bilel Saadaoui, Kamel Mahfoudhi, A. B. Ali, Józef Banaś

Publication date: 3 November 2023

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

zbMATH Keywords

Banach spacesmatrixouter generalited inversepseudo condition spectrum

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• \((p,q)\)-outer generalized inverse of block matrices in Banach algebras
• Convergence of Newton-like methods for singular operator equations using outer inverses
• A characterization of essential pseudospectra of the multivalued operator matrix
• On \((P,Q)\)-outer generalized inverses and their stability of pseudo spectrum
• The condition pseudospectrum subset and related results
• Level sets of \((p,e-p)\) outer generalized pseudo spectrum
• Characterization of the condition S-spectrum of a compact operator in a right quaternionic Hilbert space
• Generalised Spectra and Analytic Multivalued Functions
• A characterization of the essential approximation pseudospectrum on a Banach space

This page was built for publication: \( (P,Q)-{\varepsilon} \)-pseudo condition spectrum for \(2\times 2\) matrices. Linear operator and application