Are the coefficients of a polynomial well-conditioned functions of its roots?

DOI10.1007/BF01385516zbMath0766.65043MaRDI QIDQ1203402

Frank Uhlig

Publication date: 8 February 1993

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133628

zbMATH Keywords

condition numberpolynomial coefficientsill-conditioned functions of its roots

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Numerical computation of solutions to single equations (65H05) Real polynomials: location of zeros (26C10)

Related Items

Wiener-Hopf and spectral factorization of real polynomials by Newton's method, General polynomial roots and their multiplicities inO(N)memory andO(N²)Time^∗

Cites Work

• On the condition of algebraic equations
• Eigenvalue assignment in an upper Hessenberg matrix
• A computational algorithm for pole assignment of linear single-input systems
• Assignment of the characteristic polynomial of a Hessenberg matrix†
• An algorithm for pole assignment of time invariant linear systems†
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