A factorization theorem for banded matrices

DOI10.1016/0024-3795(81)90306-2zbMath0467.15005OpenAlexW2156872351MaRDI QIDQ1155690

Charles A. Micchelli, Philip W. Smith, Alfred S. jun. Cavaretta, Wolfgang Dahmen

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0024-3795(81)90306-2

zbMATH Keywords

totally positivebi-infinite matrixN-periodicstrictly m-banded

Mathematics Subject Classification ID

Factorization of matrices (15A23) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items

Rational degenerations of \({\mathtt M}\)-curves, totally positive Grassmannians and KP2-solitons, The approximation of a totally positive band matrix by a strictly banded totally positive one, Almost strictly totally positive matrices, Totally positive matrices, Factorization of totally positive, symmetric, periodic, banded matrices with applications, Interpolatory and variation-diminishing properties of generalized B-splines, Some properties of periodic B-spline collocation matrices, LU-factorization of order bounded operators on Banach sequence spaces, Some properties of periodic B-spline collocation matrices, Structure of invertible (bi)infinite totally positive matrices, Factorization of banded lower triangular infinite matrices

Cites Work

• A reduction theorem for totally positive matrices
• On the generating functions of totally positive sequences. I
• Dichotomies for Band Matrices
• On the Solvability of Certain Systems of Linear Difference Equations