
Accession Number : ADA114494
Title : Structure of Invertible (BI) Infinite Totally Positive Matrices.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIVMADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : DE Boor,C ; Jia,Rongqing ; Pinkus,A
PDF Url : ADA114494
Report Date : Dec 1981
Pagination or Media Count : 20
Abstract : An l subinfinityinvertible nonfinite totally positive matrix A is shown to have one and only one main diagonal. This means that exactly one diagonal of A has the property that all finite sections of A principal with respect to this diagonal are invertible and their inverses converge boundedly and entrywise to A to the 1 power. This is shown to imply restrictions on the possible shapes of such a matrix. In the proof, such a matrix is also shown to have a l subinfinity invertible LDU factorization. In addition, decay of the entries of such a matrix away from the main diagonal is demonstrated. It is also shown that a bounded signregular matrix carrying some bounded sequence to a uniformly alternating sequence must have all its columns in c sub o. (Author)
Descriptors : *Matrices(Mathematics), *Approximation(Mathematics), *Least squares method, Splines, Interpolation, Finite element analysis, Stability, Linear systems
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE