A note on the growth factor in Gaussian elimination for accretive-dissipative matrices

DOI10.1007/s10092-013-0089-1zbMath1320.65045OpenAlexW2161768507MaRDI QIDQ2017962

Minghua Lin

Publication date: 23 March 2015

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-013-0089-1

zbMATH Keywords

Gaussian eliminationgrowth factoraccretive-dissipative matrixHigham matrix

Mathematics Subject Classification ID

Miscellaneous inequalities involving matrices (15A45) Direct numerical methods for linear systems and matrix inversion (65F05)

Related Items (12)

Further extensions of Hartfiel's determinant inequality to multiple matrices ⋮ Unitarily invariant norm inequalities for functions of accretive-dissipative \(2\times 2\) block matrices ⋮ On sectorial matrices and their inequalities ⋮ Logarithmic mean of multiple accretive matrices ⋮ Unnamed Item ⋮ 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 ⋮ Norm inequalities involving a special class of functions for sector matrices ⋮ On some inequalities for accretive-dissipative matrices ⋮ On the logarithmic mean of accretive matrices

Cites Work

• Fischer type determinantal inequalities for accretive-dissipative matrices
• Norm inequalities for accretive-dissipative operator matrices
• On the growth factor in Gaussian elimination for matrices with sharp angular field of values
• Factorizing complex symmetric matrices with positive definite real and imaginary parts
• On the growth factor in Gaussian elimination for generalized Higham matrices

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