On the growth factor in Gaussian elimination for generalized Higham matrices

DOI10.1002/nla.258zbMath1071.65033OpenAlexW2056707245MaRDI QIDQ5317835

A. B. Kucherov, Alan George, Khakim D. Ikramov

Publication date: 21 September 2005

Published in: Numerical Linear Algebra with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nla.258

zbMATH Keywords

Gaussian eliminationgrowth factorLoewner ordercomplex symmetric positive definite matricesHigham matrices

Mathematics Subject Classification ID

Basic linear algebra (15A99) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (20)

Further extensions of Hartfiel's determinant inequality to multiple matrices ⋮ Unitarily invariant norm inequalities for functions of accretive-dissipative \(2\times 2\) block matrices ⋮ The Bunch-Kaufman factorization of symmetric matrices signature similar to sign regular matrices ⋮ The explicit formula for Gauss-Jordan elimination applied to flexible systems ⋮ On the properties of accretive-dissipative matrices ⋮ On sectorial matrices and their inequalities ⋮ Unnamed Item ⋮ Stability analysis of block factorization for complex symmetric block tridiagonal matrices ⋮ Growth factors of pivoting strategies associated with Neville elimination ⋮ Fischer determinantal inequalities and Higham's conjecture ⋮ Norm inequalities for accretive-dissipative operator matrices ⋮ Determinantal and eigenvalue inequalities for matrices with numerical ranges in a sector ⋮ A note on the growth factor in Gaussian elimination for accretive-dissipative matrices ⋮ Unitarily invariant norm inequalities for accretive-dissipative operator matrices ⋮ Norm inequalities involving accretive-dissipative \(2\times 2\) block matrices ⋮ An extension of the AM-GM-HM inequality ⋮ More extensions of a determinant inequality of Hartfiel ⋮ Extension of a result of Haynsworth and Hartfiel ⋮ On some inequalities for accretive-dissipative matrices ⋮ On the logarithmic mean of accretive matrices

Cites Work

• Matrix Analysis
• Row-complete latin squares of every composite order exist

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