Bidiagonalization of oscillatory matrices∗

DOI10.1080/03081089708818510zbMath0887.15020OpenAlexW1976977393MaRDI QIDQ4366170

J. M. Carnicer, Juan Manuel Peña

Publication date: 28 April 1998

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

Full work available at URL: https://doi.org/10.1080/03081089708818510

zbMATH Keywords

eigenvaluesreductiontotally positive matrixoscillatory matrixbidiagonalization

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Canonical forms, reductions, classification (15A21)

Related Items (5)

Pentadiagonal oscillatory matrices with two spectrum in common ⋮ The transformation of the companion matrix resultant between the power and Bernstein polynomial bases. ⋮ Bidiagonal decompositions of oscillating systems of vectors ⋮ An atlas for tridiagonal isospectral manifolds ⋮ Recognition of matrices which are sign-regular of a given order and a generalization of oscillatory matrices

Cites Work

• Corner cutting algorithms for the Bézier representation of free form curves
• The approximation of a totally positive band matrix by a strictly banded totally positive one
• Total positivity and Neville elimination
• Some properties of totally positive matrices
• The eigenvalue distribution of oscillatory and strictly sign-regular matrices
• Shape preserving representations and optimality of the Bernstein basis
• Convexity of rational curves and total positivity
• Total Positivity, $QR$ Factorization, and Neville Elimination
• Classes of Matrices with Distinct, Real Characteristic Values
• Totally positive matrices

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