Bernstein form is inclusion monotone

DOI10.1007/BF02238236zbMath0832.65010OpenAlexW1563265275MaRDI QIDQ1895864

Hoon Hong, Volker Stahl

Publication date: 5 March 1996

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02238236

zbMATH Keywords

range of polynomialsBernstein representationinclusion monotonicityrange computation algorithm

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Computation of special functions and constants, construction of tables (65D20) Real polynomials: location of zeros (26C10)

Related Items (3)

Bernstein form is inclusion monotone ⋮ Solving interval constraints by linearization in computer-aided design ⋮ Bounds for the range of a complex polynomial over a rectangular region

Cites Work

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• Optimal centered forms
• The range of values of a circular complex polynomial over a circular complex interval
• Mean value forms in interval analysis
• Bounds on a polynomial
• Optimal computation of the Bernstein algorithm for the bound of an interval polynomial
• 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
• Bernstein form is inclusion monotone
• Centered Forms
• Bernstein form of a polynomial
• Bounds on a polynomial

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