Structure of invertible (bi)infinite totally positive matrices

DOI10.1016/0024-3795(82)90225-7zbMath0504.15014OpenAlexW2097627832MaRDI QIDQ1835726

Rong-Qing Jia, Allan Pinkus, Carl De Boor

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0024-3795(82)90225-7

zbMATH Keywords

totally positive matricessign-regular matricesinvertible LDU factorizationlinear operators in sequence spaces

Mathematics Subject Classification ID

Factorization of matrices (15A23) Sequence spaces (including Köthe sequence spaces) (46A45) Positive matrices and their generalizations; cones of matrices (15B48) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Related Items (6)

Estimates of solutions to infinite systems of linear equations and the problem of interpolation by cubic splines on the real line ⋮ Totally positive matrices ⋮ On the existence of interpolating projections onto spline spaces ⋮ On the (bi)infinite case of Shadrin's theorem concerning the \(L_{\infty}\)-boundedness of the \(L_{2}\)-spline projector ⋮ LU-factorization of order bounded operators on Banach sequence spaces ⋮ Quasi-interpolants from spline interpolation operators

Cites Work

• A factorization theorem for banded matrices
• On the Solvability of Certain Systems of Linear Difference Equations
• Inverses of Infinite Sign Regular Matrices
• Inverses of Band Matrices and Local Convergence of Spline Projections
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