Keyword

root finding

Description: Root finding is the numerical task of locating values where a function equals zero, central to numerical analysis and scientific computing.

Primary topic: Iterative Methods for Nonlinear Equations (54%)

Wikidata ID: wiki/Q26883875

OpenAlex ID: keywords/root-finding

A Stochastic Approximation Method

1951 · Herbert Robbins, Sutton Monro · The Annals of Mathematical Statistics · 9,619

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Iterative Solution of Nonlinear Equations in Several Variables

1971 · E. I., J. M. Ortega, et al. · Mathematics of Computation · 4,408

Algorithms for Minimization Without Derivatives

1974 · D. G., Richard P. Brent · Mathematics of Computation · 2,847

Multivariate stochastic approximation using a simultaneous perturbation gradient approximation

1992 · J.C. Spall · IEEE Transactions on Automatic Control · 2,279

Iterative Methods for the Solution of Equations.

1967 · D. M. Young, J. F. Traub · American Mathematical Monthly · 2,165

Iterative Methods for Linear and Nonlinear Equations

1995 · C. T. Kelley · Society for Industrial and Applied Mathematics eBooks · 1,636

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Solving Differential Equations in R : Package deSolve

2010 · Karline Soetaert, Thomas Petzoldt, et al. · Journal of Statistical Software · 1,597

Iterative solution of nonlinear equations

1994 · R. D. Murphy · 1,181

A First Course in Stochastic Models

2003 · Henk C. Tijms · Wiley eBooks · 1,046

Numerical recipes in FORTRAN (2nd ed.): the art of scientific computing

1992 · William H. Press, Saul A. Teukolsky, et al. · Cambridge University Press eBooks · 964

Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)

1996 · J. E. Dennis, Robert B. Schnabel · 948

Numerical methods for nonlinear algebraic equations

1970 · Philip Rabinowitz · Gordon and Breach Science Publishers eBooks · 893

Introduction to Numerical Continuation Methods

2003 · Eugene L. Allgower, Kurt Georg · Society for Industrial and Applied Mathematics eBooks · 877

Iterative Solution of Nonlinear Equations in Several Variables

1970 · Elsevier eBooks · 785

Numerical Methods for Unconstrained Optimization and Nonlinear Equations.

1985 · Robert E. Kass, John E. Dennis, et al. · Journal of the American Statistical Association · 602

User guide for MINPACK-1. [In FORTRAN]

1980 · Argonne National Lab., IL (USA), J. More, et al. · 583

An algorithm with guaranteed convergence for finding a zero of a function

1971 · R. P. Brent · The Computer Journal · 535

The numerical treatment of a single nonlinear equation

1970 · A. S. Householder · CERN Document Server (European Organization for Nuclear Research) · 516

A Method for Solving Algebraic Equations Using an Automatic Computer

1956 · David E. Muller · Mathematical Tables and Other Aids to Computation · 516

Factoring polynomials over large finite fields

1970 · E. R. Berlekamp · Mathematics of Computation · 507

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User Guide for Minpack-1

1980 · Jorge J. Morè, B. S. Garbow, et al. · CERN Document Server (European Organization for Nuclear Research) · 496

Polygonization of implicit surfaces

1988 · Jules Bloomenthal · Computer Aided Geometric Design · 494

Procedure for Use of Electronic Digital Computers in Calculating Flash Vaporization Hydrocarbon Equilibrium

1952 · H.H. Rachford, J.D. Rice · Journal of Petroleum Technology · 484

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Applied Numerical Methods with MATLAB for Engineers and Scientists

2004 · Steven C. Chapra · 443

A method for solving algebraic equations using an automatic computer

1956 · David E. Muller · Mathematics of Computation · 443

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Works count: 8,220

Citation count: 92,120