Total positivity and the QR algorithm

DOI10.1016/S0024-3795(97)00275-9zbMath0891.15018MaRDI QIDQ1379096

Graham M. L. Gladwell

Publication date: 30 June 1998

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

eigenvaluestotally positive matricesoscillatory matricesQR algorithmsimilarity transform

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items

Correlation matrices of yields and total positivity, Pentadiagonal oscillatory matrices with two spectrum in common, Isospectral matrix flow maintaining staircase structure and total positivity of an initial matrix, Inner totally positive matrices, The total positivity interval, Determinantal criteria for total positivity, Total positivity and Toda flow

Cites Work

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• The LU-factorization of totally positive matrices
• On oscillatory matrices
• Inverse vibration problems for finite-element models
• On isospectral spring-mass systems
• Totally positive matrices