The range of values of a circular complex polynomial over a circular complex interval

DOI10.1007/BF02252094zbMath0421.65031MaRDI QIDQ1133290

E. Grassmann, Jon G. Rokne

Publication date: 1979

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

numerical resultsBernstein polynomialscircular arithmeticcomplex interval analysiscircular complex intervalcircular complex polynomialHorner's evaluation schemerange of interval polynomials

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Polynomials and rational functions of one complex variable (30C10)

Related Items (7)

Bernstein form is inclusion monotone ⋮ Bounds for the range of a complex polynomial over a rectangular region ⋮ The circular complex centered form ⋮ Osculation methods for the conformal mapping of doubly connected regions ⋮ Rigorous bounds for polynomial Julia sets ⋮ Rational circular complex centered forms ⋮ A note on the circular complex centered form

Cites Work

• Arithmetiken für komplexe Kreise
• Bounds for an interval polynomial
• A note on the Bernstein algorithm for bounds for interval polynomials
• The range of values of a complex polynomial over a complex interval
• Circular arithmetic and the determination of polynomial zeros
• Gleichheit von Produkt und Formalprodukt bei Intervallpolynomen
• Bernstein form of a polynomial
• Bounds on a polynomial
• Über Eigenschaften und Anwendungsmöglichkeiten einer komplexen Intervallarithmetik
• Complex interval arithmetic
• Unnamed Item

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