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1 results

  • 6 - Elementary Operations

  • from Part I - Lectures on Basics with Examples
  • Patrick Dewilde, Technische Universität München, Klaus Diepold, Technische Universität München, Alle-Jan Van der Veen, Technische Universiteit Delft, The Netherlands
  • Book:
    Time-Variant and Quasi-separable Systems
    Published online:
    24 October 2024
    Print publication:
    31 October 2024, pp 87-94

  • Summary

    This chapter is on elementary matrix operations using a state-space or, equivalently, quasi-separable representation. It is a straightforward but unavoidable chapter. It shows how the recursive structure of the state-space representations is exploited to make matrix addition, multiplication and elementary inversion numerically efficient. The notions of outer operator and inner operator are introduced as basic types of matrices playing a central role in various specific matrix decompositions and factorizations to be treated in further chapters.