On the condition of algebraic equations

DOI10.1007/BF01436491zbMath0278.65044MaRDI QIDQ1394089

Walter Gautschi

Publication date: 1973

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

Full work available at URL: https://eudml.org/doc/132247

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items

Robust plotting of generalized lemniscates, On the numerical condition of polynomials in Bernstein form, Algorithms for polynomials in Bernstein form, Computing the roots of sparse high-degree polynomials that arise from the study of random simplicial complexes, Families of algebraic test equations, A statistical analysis of the numerical condition of multiple roots of polynomials., The Bernstein polynomial basis: a centennial retrospective, On the numerical condition of algebraic curves and surfaces. I: Implicit equations, Computing with barycentric polynomials, The nearest polynomial to multiple given polynomials with a given zero: a unified optimization approach, Determination of the zeros of a linear combination of generalised polynomials, A comparison of the average case numerical condition of the power and bernstein polynomial bases, Are the coefficients of a polynomial well-conditioned functions of its roots?, General polynomial roots and their multiplicities inO(N)memory andO(N²)Time^∗, Polynomial zerofinders based on Szegő polynomials, Perturbation bounds for polynomials, Condition numbers of a nearly singular simple root of a polynomial, Real and complex pseudozero sets for polynomials with applications, The econometrics of auctions with asymmetric anonymous bidders, A generalized companion matrix of a polynomial and some applications

Cites Work

• Unnamed Item
• On inverses of Vandermonde and confluent Vandermonde matrices
• A class of orthogonal polynomials
• Die Lage der Nullstellen eines Polynoms
• The Zeros of the Partial Sums of e z