research-article

The Numerical Stability of the Schur-Cohn Criterion

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Irene GargantiniAuthors Info & Claims

SIAM Journal on Numerical Analysis, Volume 8, Issue 1

Pages 24 - 29

https://doi.org/10.1137/0708003

Published: 01 March 1971 Publication History

Abstract

No abstract available.

References

[1]

A. Cohn, Über die Anzahl der Wurzeln einer algebraischen Gleichung in einem Kreise, Math. Z., 14 (1922), 110–148

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I. Gargantini, Study of the rounding error in the complete Homer scheme, Internal Rep., Computer Science Dept., University of Western Ontario, London, to appear

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Peter Henrici, Elements of numerical analysis, John Wiley & Sons Inc., New York, 1964xv+328

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Peter Henrici, Irene Gargantini, B. Dejon, P. Henrici, Uniformly convergent algorithms for the simultaneous approximation of all zeros of a polynomial, Constructive Aspects of the Fundamental Theorem of Algebra (Proc. Sympos., Zürich-Rüschlikon, 1967), Wiley-Interscience, New York, 1969, 77–113

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D. H. Lehmer, A machine method for solving polynomial equations, J. Assoc. Comput. Mach., 8 (1961), 151–162

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D. H. Lehmer, Search procedures for polynomial equation solving, Constructive Aspects of the Fundamental Theorem of Algebra (Proc. Sympos., Zürich-Rüschlikon, 1967), Wiley-Interscience, New York, 1969, 193–208

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Morris Marden, Geometry of polynomials, Second edition. Mathematical Surveys, No. 3, American Mathematical Society, Providence, R.I., 1966xiii+243

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I. Schur, Über Potenzreihen, die im Innern des Einheitskreises beschränkt sind, J. Reine Angew. Math., 148 (1918), 122–145

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Index Terms

The Numerical Stability of the Schur-Cohn Criterion
1. Mathematics of computing
  1. Mathematical analysis
    1. Differential equations
      1. Ordinary differential equations
    2. Numerical analysis
      1. Computations on matrices
      2. Numerical differentiation
2. Theory of computation
  1. Design and analysis of algorithms
    1. Approximation algorithms analysis

Index terms have been assigned to the content through auto-classification.

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cover image SIAM Journal on Numerical Analysis

SIAM Journal on Numerical Analysis Volume 8, Issue 1

Mar 1971

177 pages

ISSN:0036-1429

DOI:10.1137/sjnaam.1971.8.issue-1

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Society for Industrial and Applied Mathematics

United States

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Published: 01 March 1971

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Abstract

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Delay-range-dependent stability criterion for interval time-delay systems with nonlinear perturbations

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