Formula manipulation in ALGOL 68 and application to Routh's algorithm

DOI10.1007/BF02241782zbMath0437.12018MaRDI QIDQ1141184

Kees Dekker

Publication date: 1981

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

multistep methodsSchur criterionlocation of the zeros of a complex polynomiallong integer arithmeticRouth's algorithm

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Software, source code, etc. for problems pertaining to functions of a complex variable (30-04) Algorithms in computer science (68W99) Software, source code, etc. for problems pertaining to field theory (12-04)

Related Items

Stability of linear multistep methods on the imaginary axis

Uses Software

• ALGOL 68

Cites Work

• On the stability of multistep formulas for Volterra integral equations of the second kind
• Routh’s Algorithm: A Centennial Survey
• Sylvester's Identity and Multistep Integer-Preserving Gaussian Elimination
• On the Location of Zeros of Certain Classes of Polynomials with Applications to Numerical Analysis
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