The Nearest Real Polynomial with a Real Multiple Zero in a Given Real Interval

DOI10.1007/978-3-540-87827-8_3zbMath1166.65339OpenAlexW1846744103MaRDI QIDQ3597978

Hiroshi Sekigawa

Publication date: 29 January 2009

Published in: Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-87827-8_3

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Numerical computation of solutions to single equations (65H05)

Cites Work

• A simple procedure for the exact stability robustness computation of polynomials with affine coefficient perturbations
• Root locations of an entire polytope of polynomials: It suffices to check the edges
• Nearest singular polynomials
• Locating real multiple zeros of a real interval polynomial
• Root Neighborhoods of a Polynomial
• Stability conditions for polytopes of polynomials
• The nearest polynomial with a given zero, and similar problems
• A note on a nearest polynomial with a given root
• The nearest polynomial with a given zero, revisited
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