A matrix lower bound

DOI10.1016/j.laa.2010.02.014zbMath1201.15010OpenAlexW2033952713MaRDI QIDQ972795

Joseph F. Grcar

Publication date: 21 May 2010

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2010.02.014

zbMATH Keywords

convex setscondition numbermatrix inequalitiesminimax problemspseudospectrarank reductionquotient spacess-numbersdistance to lower rankmatrix lower bound

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45) Vector spaces, linear dependence, rank, lineability (15A03) Conditioning of matrices (15A12)

Related Items (1)

On computing high-dimensional Riemann theta functions

Uses Software

• Eigtool

Cites Work

• Inertia characteristics of self-adjoint matrix polynomials
• Some mapping theorems
• s-Numbers of operators in Banach spaces
• History of Banach Spaces and Linear Operators
• Interpolation zwischen den Klassen 𝔖_p von Operatoren in Hilberträumen
• Numerical Linear Algebra
• Numerical inverting of matrices of high order
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