Growth in Gaussian Elimination
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Publication:3800976
DOI10.2307/2322755zbMath0654.65023OpenAlexW1988984646MaRDI QIDQ3800976
Brian L. Peterson, Jane M. Day
Publication date: 1988
Published in: The American Mathematical Monthly (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2322755
Hadamard matricesGaussian eliminationconjectureNumerical experimentscounterexamplesbackward error analysispivotinggrowth problem
Related Items (26)
On the computation of maximum minors of Hadamard matrices ⋮ On the complexity of some basic problems in computational convexity. I. Containment problems ⋮ An Infinite Family of Hadamard Matrices with Fourth Last Pivot n /2 ⋮ Embedding and extension properties of Hadamard matrices revisited ⋮ Some remarks on Hadamard matrices ⋮ On the complete pivoting conjecture for a hadamard matrix of order 12 ⋮ Largest \(j\)-simplices in \(d\)-cubes: Some relatives of the Hadamard maximum determinant problem ⋮ Hadamard Matrices: Insights into Their Growth Factor and Determinant Computations ⋮ Accuracy and stability of quaternion Gaussian elimination ⋮ Stability of block \(LU\) factorization for block tridiagonal block \(H\)-matrices ⋮ An eigenvalue approach evaluating minors for weighing matrices \(W(n, n-1)\) ⋮ Stability analysis of block factorization for complex symmetric block tridiagonal matrices ⋮ \(D\)-optimal designs embedded in Hadamard matrices and their effect on the pivot patterns ⋮ An algorithm to find formulae and values of minors for Hadamard matrices. II ⋮ On the complete pivoting conjecture for Hadamard matrices: further progress and a good pivots property ⋮ The maximal determinant and subdeterminants of \(\pm\)1 matrices. ⋮ General lower bounds on maximal determinants of binary matrices ⋮ Weitere unzulässige Abwandlungen der Vermutung von Wilkinson. (Further inadmissible amplifications of Wilkinson's conjecture) ⋮ Growth in Gaussian elimination for weighing matrices, \(W (n, n-1)\) ⋮ The growth factor of a Hadamard matrix of order 16 is 16 ⋮ On the growth problem for skew and symmetric conference matrices ⋮ Evaluation of minors associated to weighing matrices ⋮ A counterexample to a hadamard matrix pivot conjecture ⋮ Unnamed Item ⋮ Values of minors of some infinite families of matrices constructed from supplementary difference sets and their application to the growth problem ⋮ Numerical Optimization for the Length Problem
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