A posteriori error bounds for the zeros of a polynomial

DOI10.1007/BF01404403zbMath0235.65034MaRDI QIDQ2552011

Martin H. Gutknecht

Publication date: 1972

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

Full work available at URL: https://eudml.org/doc/132180

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05)

Related Items

Error-bounds for zeroes of polynomials using complex circular arithmetic ⋮ Numerical computation of polynomial zeros by means of Aberth's method ⋮ On the a-posteriori error bounds for the solution of ordinary nonlinear differential equations ⋮ A priori Fehlerschranken für sukzessiv abgespaltene Polynomnullstellen ⋮ Simultaneous inclusion of the zeros of a polynomial ⋮ A generalized companion matrix of a polynomial and some applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A posteriori error bounds for the zeros of polynomials
• Die numerische Berechnung der Wurzeln eines Polynoms
• Fehlerabschätzungen bei Polynomgleichungen mit dem Fixpunktsatz von Brouwer
• Residuenabschätzung für Polynom-Nullstellen mittels Lagrange-Interpolation
• Location of the zeros of polynomials
• Ein konvergentes Iterationsverfahren zur Bestimmung der Nullstellen eines Polynoms
• The evaluation of the zeros of ill-conditioned polynomials. I, II
• Fehlerschranken zu Näherungswerten von Polynomwurzeln
• An algorithm for the incomplete decomposition of a rational function into partial fractions
• A Generalization of Pellet's Theorem Concerning the Zeros of a Polynomial
• Error Bounds for Zeros of a Polynomial Based Upon Gerschgorin's Theorems