Accurate bidiagonal factorization of quantum Hilbert matrices

DOI10.1016/j.laa.2023.10.026MaRDI QIDQ6184917

Juan Manuel Peña, B. Rubio, Esmeralda Mainar

Publication date: 29 January 2024

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

zbMATH Keywords

totally positive matriceshigh relative accuracybidiagonal decompositionsHilbert matricesq-integersquantum Hilbert matrices

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) Eigenvalues, singular values, and eigenvectors (15A18) Direct numerical methods for linear systems and matrix inversion (65F05) Linear equations (linear algebraic aspects) (15A06)

Cites Work

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• Mixed, Componentwise, and Structured Condition Numbers
• Backward Error and Condition of Structured Linear Systems
• Accuracy and Stability of Numerical Algorithms
• Accurate Singular Value Decompositions of Structured Matrices
• Accurate Eigenvalues and SVDs of Totally Nonnegative Matrices
• XIX.—On the Reciprocation of Certain Matrices
• Quantum calculus

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