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The evaluation of the zeros of ill-conditioned polynomials. Part I

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1017/s0305004100029674openalex-snapshot
The calculation of the latent roots and vectors of matrices on the pilot model of the A.C.E.
inferredcites →https://doi.org/10.1049/pi-b-1.1956.0024openalex-snapshot
The method of Lanczos for calculating the characteristic roots and vectors of a real symmetric matrix
inferredcites →https://doi.org/10.1090/s0025-5718-1956-0083822-0openalex-snapshot
A method for solving algebraic equations using an automatic computer
inferredcites →https://doi.org/10.1093/comjnl/1.3.148openalex-snapshot
The Calculation of Eigenvectors by the Method of Lanczos
inferredcites →https://doi.org/10.1098/rsta.1952.0010openalex-snapshot
The evaluation of zeros of high-degree polynomials
inferredcites →https://doi.org/10.1145/320986.320988openalex-snapshot
Stability of the Reduction of a Matrix to Almost Triangular and Triangular Forms by Elementary Similarity Transformations
inferredcites →https://doi.org/10.6028/jres.045.026openalex-snapshot
An iteration method for the solution of the eigenvalue problem of linear differential and integral operators

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Set Theory and its Philosophy
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Copyright Page
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Preface
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Introduction to Part I
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Logic
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Collections
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The hierarchy
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The theory of sets
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Conclusion to Part I
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Introduction to Part II
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Arithmetic
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Counting
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Lines
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Real numbers
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Conclusion to Part II
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Introduction to Part III
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Cardinals
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Basic cardinal arithmetic
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Ordinals
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Ordinal arithmetic
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Conclusion to Part III
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Introduction to Part IV
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Orders of infinity
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The axiom of choice
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Further cardinal arithmetic
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Conclusion to Part IV
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Traditional axiomatizations
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Classes
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Sets and classes
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Real time inverse kinematics for general 6R manipulators
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A fast algorithm and system for the inverse kinematics of general serial manipulators
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High Order Terms for Condition Estimation of Univariate Polynomials
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A Corner Cutting Algorithm for Evaluating Rational Bézier Surfaces and the Optimal Stability of the Basis
inferred← citeshttps://doi.org/10.1137/080745249openalex-snapshot
Running Relative Error for the Evaluation of Polynomials
inferred← citeshttps://doi.org/10.1137/110857155openalex-snapshot
Differential qd Algorithm with Shifts for Rank-Structured Matrices
inferred← citeshttps://doi.org/10.1137/120864581openalex-snapshot
A General Condition Number for Polynomials
inferred← citeshttps://doi.org/10.1137/120890600openalex-snapshot
Bounds on Eigenvalues of Matrices Arising from Interior-Point Methods
inferred← citeshttps://doi.org/10.1137/130932387openalex-snapshot
Numerical Solution of Bivariate and Polyanalytic Polynomial Systems
inferred← citeshttps://doi.org/10.1137/24m1651101openalex-snapshot
Learning Memory Kernels in Generalized Langevin Equations
inferred← citeshttps://doi.org/10.1137/s0036142993253461openalex-snapshot
Computing Hopf Bifurcations I
inferred← citeshttps://doi.org/10.1145/122520.122523openalex-snapshot
Some theoretical problems when solving systems of polynomial equations using Gröbner bases
inferred← citeshttps://doi.org/10.1145/143242.143311openalex-snapshot
Real algebraic number computation using interval arithmetic
inferred← citeshttps://doi.org/10.1145/1577190.1577217openalex-snapshot
Computing clustered close-roots of univariate polynomials
inferred← citeshttps://doi.org/10.1145/174462.174617openalex-snapshot
Algorithms for intersecting parametric and algebraic curves I
inferred← citeshttps://doi.org/10.1145/242961.242965openalex-snapshot
Solving algebraic systems using matrix computations
inferred← citeshttps://doi.org/10.1145/2557547.2557574openalex-snapshot
Relationship-based information sharing in cloud-based decentralized social networks
inferred← citeshttps://doi.org/10.1145/321150.321158openalex-snapshot
On the Danilewski Method
inferred← citeshttps://doi.org/10.1145/363018.363063openalex-snapshot
An improvement to iterative methods of polynomial factorization
inferred← citeshttps://doi.org/10.1145/365559.365619openalex-snapshot
Finding zeros of a polynomial by the Q-D algorithm
inferred← citeshttps://doi.org/10.1145/366199.366257openalex-snapshot
Algorithm 35: Sieve
inferred← citeshttps://doi.org/10.1145/366199.366266openalex-snapshot
Algorithm 39: correlation coefficients with matrix multipliation
inferred← citeshttps://doi.org/10.1145/366199.366273openalex-snapshot
Remarks on Algorithm 2, Algorithm 3, Algorithm 15, Algorithm 25 and Algorithm 26
inferred← citeshttps://doi.org/10.1145/3774756openalex-snapshot
Spectral Theory of Light Transport Operators
inferred← citeshttps://doi.org/10.1145/800029.808506openalex-snapshot
On functional iteration and the calculation of roots
inferred← citeshttps://doi.org/10.1155/imrn/2006/48306openalex-snapshot
Jacobians and rank 1 perturbations relating to unitary Hessenberg matrices
inferred← citeshttps://doi.org/10.11606/t.43.2011.tde-26042012-154144openalex-snapshot
Estabilidade de modos quasinormais e uma possível interpretação na correspondência AdS/CFT
inferred← citeshttps://doi.org/10.1177/20416695251394612openalex-snapshot
Differentiating bipolar disorder from schizophrenia: The role of the induced Roelofs illusion
inferred← citeshttps://doi.org/10.1201/b15165-13openalex-snapshot
Difference Equations
inferred← citeshttps://doi.org/10.14232/ejqtde.2024.1.62openalex-snapshot
Limit cycles bifurcations of Liénard system with a hyperelliptic Hamiltonian of degree five
inferred← citeshttps://doi.org/10.14295/vetor.v33i2.16434openalex-snapshot
A New Ehrlich-Type Sixth-Order Simultaneous Method for Polynomial Complex Zeros
inferred← citeshttps://doi.org/10.15439/2014f183openalex-snapshot
Solving Systems of Polynomial Equations: a Novel End Condition and Root Computation Method
inferred← citeshttps://doi.org/10.20566/13447777_2_91openalex-snapshot
Hybrid Method for Solving Polynomial Equations
inferred← citeshttps://doi.org/10.2298/yjor120620004lopenalex-snapshot
Computing real zeros of a polynomial by branch and bound and branch and reduce algorithms
inferred← citeshttps://doi.org/10.23919/ecc54610.2021.9655198openalex-snapshot
Analysis and Design of Output Feedback PD Controllers for Time-Delay Systems
inferred← citeshttps://doi.org/10.3182/20120711-3-be-2027.00315openalex-snapshot
Enforcing Stability in Steady-State Optimization
inferred← citeshttps://doi.org/10.4169/amer.math.monthly.118.05.387openalex-snapshot
Francis’s Algorithm
inferred← citeshttps://doi.org/10.4169/amer.math.monthly.119.09.715openalex-snapshot
The Fundamental Theorem of Algebra Made Effective: An Elementary Real-algebraic Proof via Sturm Chains
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