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Numerical computation of polynomial zeros by means of Aberth's method
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1007/bf01385785openalex-snapshot
Inclusion of the roots of a polynomial based on Gerschgorin's theorem
inferredcites →https://doi.org/10.1007/bf01385904openalex-snapshot
A posteriori error bounds for the zeros of polynomials
inferredcites →https://doi.org/10.1007/bf01404403openalex-snapshot
A posteriori error bounds for the zeros of a polynomial
inferredcites →https://doi.org/10.1007/bf01404681openalex-snapshot
Circular arithmetic and the determination of polynomial zeros
inferredcites →https://doi.org/10.1007/bf01436301openalex-snapshot
Simultaneous inclusion of the zeros of a polynomial
inferredcites →https://doi.org/10.1007/bf01436492openalex-snapshot
A remark on simultaneous inclusions of the zeros of a polynomial by Gershgorin's theorem
inferredcites →https://doi.org/10.1007/bf01933450openalex-snapshot
Some modifications of Laguerre's method
inferredcites →https://doi.org/10.1007/bf01935059openalex-snapshot
Initial approximations in Durand-Kerner's root finding method
inferredcites →https://doi.org/10.1007/bf01952788openalex-snapshot
The Durand-Kerner polynomials roots-finding method in case of multiple roots
inferredcites →https://doi.org/10.1007/bf01955880openalex-snapshot
Some remarks on Dvorcuk's root-finding method
inferredcites →https://doi.org/10.1007/bf02162564openalex-snapshot
Ein Gesamtschrittverfahren zur Berechnung der Nullstellen von Polynomen
inferredcites →https://doi.org/10.1007/bf02163334openalex-snapshot
A three-stage variable-shift iteration for polynomial zeros and its relation to generalized rayleigh iteration
inferredcites →https://doi.org/10.1007/bf02165009openalex-snapshot
Generalizations of an algorithm of Sebastião e Silva
inferredcites →https://doi.org/10.1007/bfb0069383openalex-snapshot
On the simultaneous determination of polynomial roots
inferredcites →https://doi.org/10.1016/0377-0427(88)90272-5openalex-snapshot
A comparison of methods for terminating polynomial iterations
inferredcites →https://doi.org/10.1016/0377-0427(93)90064-iopenalex-snapshot
A bibliography on roots of polynomials
inferredcites →https://doi.org/10.1016/0885-064x(90)90032-9openalex-snapshot
Simple algorithms for approximating all roots of a polynomial with real roots
inferredcites →https://doi.org/10.1016/0898-1221(87)90186-6openalex-snapshot
Sequential and parallel complexity of approximate evaluation of polynomial zeros
inferredcites →https://doi.org/10.1016/b978-0-12-208360-0.50008-5openalex-snapshot
Questions of Numerical Condition Related to Polynomials
inferredcites →https://doi.org/10.1090/psapm/020/0349957openalex-snapshot
Computational complex analysis
inferredcites →https://doi.org/10.1090/s0002-9904-1941-07547-6openalex-snapshot
On a theorem by J. L. Walsh concerning the moduli of roots of algebraic equations
inferredcites →https://doi.org/10.1090/s0025-5718-1973-0329236-7openalex-snapshot
Iteration Methods for Finding all Zeros of a Polynomial Simultaneously
inferredcites →https://doi.org/10.1090/s0025-5718-1984-0725991-xopenalex-snapshot
A Termination Criterion for Iterative Methods Used to Find the Zeros of Polynomials
inferredcites →https://doi.org/10.1090/s0025-5718-1985-0771036-6openalex-snapshot
A Globally Convergent Method for Simultaneously Finding Polynomial Roots
inferredcites →https://doi.org/10.1090/s0025-5718-1986-0842134-4openalex-snapshot
Root Neighborhoods of a Polynomial
inferredcites →https://doi.org/10.1090/s0273-0979-1981-14858-8openalex-snapshot
The fundamental theorem of algebra and complexity theory
inferredcites →https://doi.org/10.1093/imamat/8.1.16openalex-snapshot
Practical Problems Arising in the Solution of Polynomial Equations
inferredcites →https://doi.org/10.1109/fscs.1990.89534openalex-snapshot
Specified precision polynomial root isolation is in NC
inferredcites →https://doi.org/10.1137/0711023openalex-snapshot
On the Convergence Speed of Some Algorithms for the Simultaneous Approximation of Polynomial Roots
inferredcites →https://doi.org/10.1137/0711083openalex-snapshot
Calculation of Zeros of a Real Polynomial Through Factorization Using Euclid’s Algorithm
inferredcites →https://doi.org/10.1137/1012085openalex-snapshot
On the Convergence of Sebastião E. Silva’s Method for Finding a Zero of a Polynomial
inferredcites →https://doi.org/10.1137/1017057openalex-snapshot
Simultaneous Iteration towards All Roots of a Complex Polynomial
inferredcites →https://doi.org/10.1137/1018091openalex-snapshot
Simultaneous Iteration Towards All Roots of a Complex PolynoMial (M. W. Green, A. J. Korsak and M. C. Pease)
inferredcites →https://doi.org/10.1145/321062.321064openalex-snapshot
A Machine Method for Solving Polynomial Equations
inferredcites →https://doi.org/10.1145/321607.321615openalex-snapshot
Error Bounds for Zeros of a Polynomial Based Upon Gerschgorin's Theorems
inferredcites →https://doi.org/10.1145/363067.363115openalex-snapshot
A modified Newton method for polynomials
inferredcites →https://doi.org/10.1145/363717.363775openalex-snapshot
A stopping criterion for polynomial root finding
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