On the Schur and singular value decompositons of oscillatory matrices

DOI10.1016/S0024-3795(96)00443-0zbMath0880.15011MaRDI QIDQ1362673

Juan Manuel Peña

Publication date: 8 February 1998

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

zbMATH Keywords

polar decompositionoscillatory matricesSchur decompositionsingular value decompositionstotal least squares problem

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18) Linear equations (linear algebraic aspects) (15A06)

Related Items (3)

Decompositions of strictly sign regular matrices ⋮ Characterizations and stable tests for the Routh--Hurwitz conditions and for total positivity ⋮ Similarity to totally positive matrices and accurate computations

Uses Software

• VanHuffel

Cites Work

• Total positivity and Neville elimination
• On transforming a Tchebycheff system into a strictly totally positive system
• The LU-factorization of totally positive matrices
• Total Positivity, $QR$ Factorization, and Neville Elimination
• On the Early History of the Singular Value Decomposition
• Totally positive matrices
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