Newton’s method as a tool for finding the eigenvalues of certain two-parameter (multiparameter) spectral problems

DOI10.1134/S0965542508120038MaRDI QIDQ6191484

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Publication date: 7 March 2024

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/zvmmf65

zbMATH Keywords

Newton's methoddeterminant differentiationtwo-parameter (multiparameter) eigenvalue problems

Mathematics Subject Classification ID

Equations and inequalities involving linear operators, with vector unknowns (47A50)

Cites Work

• Eigenvector expansion of multiparameter spectral problems
• Multiparameter eigenvalue problems and expansion theorems
• A method for solving selfadjoint multiparameter spectral problems for weakly coupled sets of ordinary differential equations
• A Variational Approach to Multiparameter Eigenvalue Problems for Matrices
• Eine Methode zur Lösung spezieller Randwertaufgaben der Mathieuschen Differentialgleichung
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