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Method of Y-Mappings for Study of Multiparameter Nonlinear Eigenvalue Problems

Computational Mathematics and Mathematical Physics, 2022
Yury G Smirnov
exaly  

A Homotopy Method for Finding All Solutions of a Multiparameter Eigenvalue Problem

SIAM Journal on Matrix Analysis and Applications, 2016
Bo Dong, Bo Yu
exaly  

Generalized simple eigenvalues and bifurcation for a linked multiparameter eigenvalue problem

1996
The bifurcation problem for the nonlinear multiparameter system of equations \[ L_i(\lambda)x_i= F(\lambda, x_1,\dots, x_m); \] \[ L_i(\lambda)= A_i- \sum^n_{j= 1}\lambda_j B_{ij},\quad i=1,\dots, m,\quad m\leq n \] (\(A_i\), \(B_{ij}\) are bounded selfadjoint operators on Hilbert spaces \(H_i\), \(i= 1,\dots,m\); \(\lambda_j\), \(j= 1,\dots,n\), are ...
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Spectral collocation for multiparameter eigenvalue problems arising from separable boundary value problems

Journal of Computational Physics, 2015
Bor Plestenjak   +2 more
exaly  

Spectral asymptotics and bifurcation for nonlinear multiparameter elliptic eigenvalue problems

Bulletin of the Belgian Mathematical Society - Simon Stevin, 1996
Tetsutaro Shibata
exaly  

An algorithm for the solution of multiparameter eigenvalue problems. II

[For part I see ibid. 8, 137-149 (1986; Zbl 0607.65011.] The power-successive overrelaxation method is developed for the numerical solution of another class of multiparameter eigenvalue problems, i.e. to find a diagonal matrix \(\Lambda =diag(\lambda_ 1I^{(n_ 1)},...,\lambda_ mI^{(n_ m)})\geq 0\) and a corresponding real vector \(x=(x^ T_ 1,...,x^ T_ m)
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LINEAR ELEMENT APPROXIMATION FOR SOLVING MULTIPARAMETER EIGENVALUE PROBLEM

Far East Journal of Applied Mathematics, 2015
Surashmi Bhattacharyya   +1 more
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