Masked Matrices and Polynomials
Abstract
Toeplitz matrices are shown to be a special class of a more general class of matrices, called herein "masked matrices", whose elements satisfy a two dimensional linear recursion. An explicit matrix inverse for doubly infinite matrices satisfying a 2X2 mask is derived. The well known explicit inverse of doubly infinite Toeplitz matrices is a special case. It is shown that the inverse of a masked matrix is a masked matrix. Algebraic properties of masked matrices are also examined. In particular, we introduce an operation by polynomials on masked matrices and we show that this operation induces a decomposition of masked matrices into other masked matrices which are, in a sense, simpler.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 16, 1986
- Accession Number
- ADA631358
Entities
People
- Patrick J. Fleury
- Roy L. Streit
Organizations
- Naval Facilities Engineering Systems Command