Higham matrices have growth factors in Gaussian elimination that satisfy sharp condition-number-dependent bounds strictly below 2, obtained via a new scalar Schur-complement inequality.
Zhang,Equivalence of the Wielandt inequality and the Kantorovich inequality, Linear Multilinear Algebra 48(2001), no
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Sharp condition-number bounds for growth factors of Higham matrices in Gaussian elimination
Higham matrices have growth factors in Gaussian elimination that satisfy sharp condition-number-dependent bounds strictly below 2, obtained via a new scalar Schur-complement inequality.