Functional models in linear algebra

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

This paper examines the role of functional models in linear algebra and some related areas of application, notably linear systems theory. This approach adopts an intermidiate level of abstraction, somewhere between abstract module theory on the one hand and matrix theory on the other. It is a powerful method which simplifies many proofs, provides insights, and illuminates the less obvious connections between linear algebra and operator theory, approximation theory, moment problems, interpolation, and control theory.

Original languageEnglish
Pages (from-to)107-151
Number of pages45
JournalLinear Algebra and Its Applications
Volume162-164
Issue numberC
DOIs
StatePublished - 1 Jan 1992

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Numerical Analysis
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

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