Factorization of totally positive, symmetric, periodic, banded matrices with applications

DOI10.1016/0024-3795(93)90338-OzbMath0765.15010MaRDI QIDQ1208284

A. Sharma, Tim N. T. Goodman

Publication date: 16 May 1993

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

zbMATH Keywords

positive eigenvaluespositive, periodic spline operatorstotally positive, symmetric, periodic, banded matrix

Mathematics Subject Classification ID

Factorization of matrices (15A23) Positive matrices and their generalizations; cones of matrices (15B48) Spline approximation (41A15)

Cites Work

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• On factorization of biinfinite totally positive block Toeplitz matrices
• A factorization theorem for banded matrices
• The approximation of a totally positive band matrix by a strictly banded totally positive one
• Approximation and spectral properties of periodic spline operators
• A Bound on the L ∞ -Norm of L 2 -Approximation by Splines in Terms of a Global Mesh Ratio
• On the Generating Function of a Doubly Infinite, Totally Positive Sequence
• Positive spline operators and orthogonal splines