On the public citation graph
On the stability of computing polynomial roots via confederate linearizations
0 signed · 72 inferred · view as graph
Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.
Is this your work? Sign in with ORCID and put your name on the
claims that are yours.
Reference health. See whether every reference in this work resolves to a
known work and none has been retracted — and get a dated CiteStamped
badge you can embed.
What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1006/jcom.1999.0532openalex-snapshot
Approximating Complex Polynomial Zeros: Modified Weyl's Quadtree Construction and Improved Newton's Iteration
inferredcites →https://doi.org/10.1007/978-0-387-21752-9openalex-snapshot
Introduction to Smooth Manifolds
inferredcites →https://doi.org/10.1007/978-1-4419-9982-5openalex-snapshot
Introduction to Smooth Manifolds
inferredcites →https://doi.org/10.1007/978-3-642-31031-7_28openalex-snapshot
On matrices depending on parameters
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/bf02165404openalex-snapshot
Balancing a matrix for calculation of eigenvalues and eigenvectors
inferredcites →https://doi.org/10.1007/bf02207694openalex-snapshot
Numerical computation of polynomial zeros by means of Aberth's method
inferredcites →https://doi.org/10.1007/s00211-005-0595-4openalex-snapshot
Fast and stable QR eigenvalue algorithms for generalized companion matrices and secular equations
inferredcites →https://doi.org/10.1007/s00211-014-0635-zopenalex-snapshot
Computing the common zeros of two bivariate functions via Bézout resultants
inferredcites →https://doi.org/10.1007/s10543-012-0381-5openalex-snapshot
Chebyshev interpolation for nonlinear eigenvalue problems
inferredcites →https://doi.org/10.1007/s10543-013-0449-xopenalex-snapshot
Fast computation of eigenvalues of companion, comrade, and related matrices
inferredcites →https://doi.org/10.1007/s10543-014-0478-0openalex-snapshot
Implicit QR for rank-structured matrix pencils
inferredcites →https://doi.org/10.1007/s11075-013-9770-3openalex-snapshot
Stability of rootfinding for barycentric Lagrange interpolants
inferredcites →https://doi.org/10.1016/0024-3795(83)90069-1openalex-snapshot
The eigenstructure of an arbitrary polynomial matrix: computational aspects
inferredcites →https://doi.org/10.1016/0377-0427(90)90028-xopenalex-snapshot
On orthogonal polynomials with perturbed recurrence relations
inferredcites →https://doi.org/10.1016/0377-0427(93)e0242-eopenalex-snapshot
Perturbation of the coefficients in the recurrence relation of a class of polynomials
inferredcites →https://doi.org/10.1016/0378-4754(91)90038-5openalex-snapshot
Matrix perturbation theory
inferredcites →https://doi.org/10.1016/j.apnum.2005.09.007openalex-snapshot
Computing real roots of a polynomial in Chebyshev series form through subdivision
inferredcites →https://doi.org/10.1016/j.cam.2013.04.037openalex-snapshot
Solving secular and polynomial equations: A multiprecision algorithm
inferredcites →https://doi.org/10.1016/j.laa.2015.01.015openalex-snapshot
Duality of matrix pencils, Wong chains and linearizations
inferredcites →https://doi.org/10.1016/s0024-3795(03)00548-2openalex-snapshot
A note on companion matrices
inferredcites →https://doi.org/10.1016/s0024-3795(99)00063-4openalex-snapshot
Backward error and condition of polynomial eigenvalue problems
inferredcites →https://doi.org/10.1023/a:1019199917103openalex-snapshot
Design, analysis, and implementation of a multiprecision polynomial rootfinder
inferredcites →https://doi.org/10.1023/a:1025592811765openalex-snapshot
Perturbed Recurrence Relations
inferredcites →https://doi.org/10.1070/rm1971v026n02abeh003827openalex-snapshot
ON MATRICES DEPENDING ON PARAMETERS
inferredcites →https://doi.org/10.1080/00029890.1985.11971657openalex-snapshot
Another Note On The Inclusion Lp(μ) ⊂ Lq(μ)
inferredcites →https://doi.org/10.1090/mcom/3020openalex-snapshot
Implicit QR for companion-like pencils
inferredcites →https://doi.org/10.1090/s0025-5718-1995-1262279-2openalex-snapshot
Polynomial Roots from Companion Matrix Eigenvalues
inferredcites →https://doi.org/10.1090/s0025-5718-69-99647-1openalex-snapshot
Calculation of Gauss Quadrature Rules
inferredcites →https://doi.org/10.1093/imanum/dru057openalex-snapshot
Backward stability of polynomial root-finding using Fiedler companion matrices
inferredcites →https://doi.org/10.1093/qmath/12.1.61openalex-snapshot
THE COLLEAGUE MATRIX, A CHEBYSHEV ANALOGUE OF THE COMPANION MATRIX
inferredcites →https://doi.org/10.1119/1.1974429openalex-snapshot
Mathematics for the Physical Sciences
inferredcites →https://doi.org/10.1137/040609847openalex-snapshot
Roots of Polynomials Expressed in Terms of Orthogonal Polynomials
inferredcites →https://doi.org/10.1137/050627563openalex-snapshot
Fast QR Eigenvalue Algorithms for Hessenberg Matrices Which Are Rank‐One Perturbations of Unitary Matrices
inferredcites →https://doi.org/10.1137/090772927openalex-snapshot
Fiedler Companion Linearizations and the Recovery of Minimal Indices
inferredcites →https://doi.org/10.1137/1.9780898718027openalex-snapshot
Accuracy and Stability of Numerical Algorithms
inferredcites →https://doi.org/10.1137/100809167openalex-snapshot
Chasing Bulges or Rotations? A Metamorphosis of the QR-Algorithm
inferredcites →https://doi.org/10.1137/130904508openalex-snapshot
Fast Reduction of Generalized Companion Matrix Pairs for Barycentric Lagrange Interpolants
inferredcites →https://doi.org/10.1137/15m1013286openalex-snapshot
Vector Spaces of Linearizations for Matrix Polynomials: A Bivariate Polynomial Approach
inferredcites →https://doi.org/10.1137/s0036144595288554openalex-snapshot
Solving a Polynomial Equation: Some History and Recent Progress
inferredcites →https://doi.org/10.1137/s0895479899365720openalex-snapshot
Solving Polynomials with Small Leading Coefficients
inferredcites →https://doi.org/10.1145/356056.356065openalex-snapshot
Algorithm 610: A Portable FORTRAN Subroutine for Derivatives of the Psi Function
inferredcites →https://doi.org/10.2307/2004114openalex-snapshot
Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables
inferredcites →https://doi.org/10.2478/9783110409475openalex-snapshot
Mathematics for the Physical Sciences
inferredcites →https://doi.org/10.5860/choice.34-0981openalex-snapshot
Accuracy and stability of numerical algorithms
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
inferred← citeshttps://doi.org/10.1007/s00211-018-0948-4openalex-snapshot
Stable polefinding and rational least-squares fitting via eigenvalues
inferred← citeshttps://doi.org/10.1007/s00211-018-0969-zopenalex-snapshot
Block Kronecker linearizations of matrix polynomials and their backward errors
inferred← citeshttps://doi.org/10.1007/s00211-023-01379-3openalex-snapshot
On generating Sobolev orthogonal polynomials
inferred← citeshttps://doi.org/10.1007/s13398-019-00760-yopenalex-snapshot
A note on generalized companion pencils in the monomial basis
inferred← citeshttps://doi.org/10.1016/j.jalgebra.2021.07.018openalex-snapshot
Matrices in companion rings, Smith forms, and the homology of 3-dimensional Brieskorn manifolds
inferred← citeshttps://doi.org/10.1016/j.laa.2018.04.020openalex-snapshot
Mixed forward–backward stability of the two-level orthogonal Arnoldi method for quadratic problems
inferred← citeshttps://doi.org/10.1016/j.laa.2018.07.010openalex-snapshot
On the exponential generating function for non-backtracking walks
inferred← citeshttps://doi.org/10.1016/j.laa.2024.12.003openalex-snapshot
Smith forms of matrices in Companion Rings, with group theoretic and topological applications
inferred← citeshttps://doi.org/10.1016/j.laa.2025.07.031openalex-snapshot
A hidden variable resultant method for the polynomial multiparameter eigenvalue problem
inferred← citeshttps://doi.org/10.1016/j.laa.2025.10.009openalex-snapshot
Numerical instability of algebraic rootfinders
inferred← citeshttps://doi.org/10.1090/mcom/3149openalex-snapshot
Chebyshev rootfinding via computing eigenvalues of colleague matrices: when is it stable?
inferred← citeshttps://doi.org/10.1137/15m1013286openalex-snapshot
Vector Spaces of Linearizations for Matrix Polynomials: A Bivariate Polynomial Approach
inferred← citeshttps://doi.org/10.1137/16m1055943openalex-snapshot
Fiedler-comrade and Fiedler--Chebyshev pencils
inferred← citeshttps://doi.org/10.1137/16m105839xopenalex-snapshot
Constructing Strong Linearizations of Matrix Polynomials Expressed in Chebyshev Bases
inferred← citeshttps://doi.org/10.1137/19m130128xopenalex-snapshot
Structure-Preserving Function Approximation via Convex Optimization
inferred← citeshttps://doi.org/10.1137/20m1375115openalex-snapshot
Rank-Structured QR for Chebyshev Rootfinding
inferred← citeshttps://doi.org/10.1137/23m1550414openalex-snapshot
A Fast Algorithm for Computing Macaulay Null Spaces of Bivariate Polynomial Systems
inferred← citeshttps://doi.org/10.13001/ela.2021.5405openalex-snapshot
Nonsparse companion Hessenberg matrices
inferred← citeshttps://doi.org/10.1553/etna_vol54s420openalex-snapshot
Structured backward errors in linearizations
inferred← citeshttps://doi.org/10.48550/arxiv.2102.12186openalex-snapshot
A Provably Componentwise Backward Stable $O(n^2)$ QR Algorithm for the Diagonalization of Colleague Matrices
Editorial review for independent work. ICSAC — the Institute for Complexity
Science and Advanced Computing — runs a structured editorial panel for researchers
publishing outside journals, and publishes on CiteStamp rails. Submission is free
and goes through ORCID: icsacinstitute.org/submit.