Update Methods for Highly Structured Systems of Nonlinear Equations

DOI10.1137/0716019zbMath0405.65027OpenAlexW2028276487MaRDI QIDQ4191518

J. H. Jun. Avila, Paul Concus

Publication date: 1979

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://escholarship.org/uc/item/64x5z3wf

zbMATH Keywords

Numerical ResultsEigenvalue ProblemNumerical AlgorithmsSystems of Nonlinear EquationsNonlinear Eigenvalue ProblemJacobian MatrixBroyden Update MethodsNonlinear Elliptic Partial Differential EquationNuclear Reactor Analysis

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Statistical mechanics of ferroelectrics (82D45) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)

Related Items (5)

Long vectors for quasi-Newton updates ⋮ On the order of convergence of Broyden's method. Faster convergence on mixed linear-nonlinear systems of equations and a conjecture on the q-order ⋮ On an application of dynamical systems theory to determine all the zeros of a vector function ⋮ A manifold imbedding algorithm for optimization problems ⋮ Practical quasi-Newton methods for solving nonlinear systems

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