A Practical Upper Bound for Departure from Normality

DOI10.1137/S0895479893255184zbMath0827.65051OpenAlexW2014107639MaRDI QIDQ4835407

Steven L. Lee

Publication date: 14 June 1995

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0895479893255184

zbMATH Keywords

Hermitian matricescondition numberFrobenius normdeparture from normalitynonnormal matrix

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical computation of matrix norms, conditioning, scaling (65F35) Conditioning of matrices (15A12)

Related Items (8)

Observations on evolutionary models with (or without) time lag, and on problematical paradigms ⋮ On the banded Toeplitz structured distance to symmetric positive semidefiniteness ⋮ Structured distance to normality of tridiagonal matrices ⋮ The Schur decomposition of the velocity gradient tensor for turbulent flows ⋮ Computing the closest real normal matrix and normal completion ⋮ The structured distance to normality of banded Toeplitz matrices ⋮ Turbulence at the Lee bound: maximally non-normal vortex filaments and the decay of a local dissipation rate ⋮ Eigenvalue computation in the 20th century

Uses Software

• testmatrix

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