Global monotone convergence of Newton iteration for a nonlinear eigen-problem

DOI10.1016/S0024-3795(02)00383-XzbMath1017.65050MaRDI QIDQ1855418

Israel Koltracht, Nataliya Savytska, Patrick J. McKenna, Yung-Sze Choi

Publication date: 5 February 2003

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

eigenvectorNewton methodGross-Pitaevskii equationpositive eigenvaluefixed point problemStieltjes matrixglobal monotone convergencenonlinear eigen-problem

Mathematics Subject Classification ID

Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)

Related Items (6)

Positive eigenvector of nonlinear eigenvalue problem with a singular \(M\)-matrix and Newton-SOR iterative solution ⋮ A fast algorithm for the solution of the time-independent Gross--Pitaevskii equation ⋮ Positive eigenvector of nonlinear perturbations of nonsymmetric \(M\)-matrix and Newton iterative solution ⋮ Newton-based methods for finding the positive ground state of Gross-Pitaevskii equations ⋮ Monotone convergence of Newton-like iteration for a structured nonlinear eigen-problem ⋮ Finding the global optimum of a class of quartic minimization problem

Cites Work

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