Some Properties of Matrix Sign Functions Derived from Continued Fractions

Abstract

This paper proposes an alternate representation of a matrix sign function based on an irrational function described by a continued fraction. The properties of the continued fraction and the truncated continued fractions are investigated. Also, new algorithms for computing the matrix sign function are developed. The matrix sign function is then extended to a generalised matrix sign function for directly solving discrete-time system problems.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1983
Accession Number
ADA130721

Entities

People

  • Leang S. Shieh
  • R. E. Yates
  • Yih T. Tsay

Organizations

  • University of Houston

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Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Cartography
  • Complex Variables
  • Computations
  • Conformal Mapping
  • Control Systems
  • Difference Equations
  • Eigenvalues
  • Equations
  • Linear Systems
  • Military Research
  • Numbers
  • Riccati Equation
  • Scalar Functions
  • Square Roots
  • Standards
  • Theorems

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  • Linear Algebra