Inverses of Infinite Sign Regular Matrices.
Abstract
Let A be an infinite sign regular (SR) matrix which can be viewed as a bounded linear operator from L sub infinity to itself. It is proved here that if the range of A contains the sequence (...,1,-1,1,-1,...), then A is onto. If (inverse of A) exists then D (inverse of A) D is also SR, where D is the diagonal matrix with diagonal entries alternately 1 and -1. In case A is totally positive (TP), then D (inverse of A) D is also TP under additional assumptions on A. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1980
- Accession Number
- ADA096644
Entities
People
- A. Pinkus
- C. De Boor
- S. Friedland
Organizations
- University of Wisconsin–Madison