Results 1 to 10 of about 140 (101)
Elliptic multiparameter eigenvalue problems [PDF]
Proceedings of the Edinburgh Mathematical Society, 1987 We study the eigenproblemwhereand Tm, Vmn are self-adjoint operators on separable Hilbert spaces Hm. We assume the Tm to be bounded below with compact resolvents, and the Vmn to be bounded and to satisfy an “ellipticity” condition. If k = 1 then ellipticity is automatic, and if each Tm is positive definite then the problem is “left definite”.
Binding, P. A., Seddighi, K.
openaire +2 more sources
Inverse multiparameter eigenvalue problems for matrices III [PDF]
Proceedings of the Edinburgh Mathematical Society, 1986 This note will complement and, in a certain sense, complete our earlier studies [3, 4] of the theory of inverse multiparameter eigenvalue problems for matrices. In those papers, we considered the so called “additive inverse problem” which, briefly stated for the 2-parameter case, asks for conditions on given n × n matrices A, B, C and on given points ...
Browne, Patrick J., Sleeman, B. D.
openaire +3 more sources
Shapley–Snow Kernels, Multiparameter Eigenvalue Problems, and Stochastic Games [PDF]
Mathematics of Operations Research, 2021 We propose a connection between finite zero-sum stochastic games (henceforth stochastic games) and multiparameter eigenvalue problems. This connection, which relies on the theory developed by Shapley and Snow for matrix games, opens new possibilities in the study of stochastic games.
Luc Attia, Miquel Oliu-Barton
openaire +4 more sources
Multiparameter Eigenvalue Problems and Shift-invariance
IFAC-PapersOnLine, 2021 sponsorship: This work was supported by (1) KU Leuven: Research Fund (projects C16/15/059, C3/19/053, C24/18/022, C3/20/117), Industrial Research Fund (Fellowships 13-0260, IOF/16/004) and several Leuven Research and Development bilateral industrial projects; (2) Flemish Government Agencies: (a) FWO: EOS Project G0F6718N (SeLMA), SBO project S005319N ...
De Cock, Katrien, De Moor, Bart
openaire +1 more source
Left Definite Multiparameter Eigenvalue Problems [PDF]
Transactions of the American Mathematical Society, 1982 We study the problem \[ ( ∗ ) T m x m = ∑ n = 1 k λ n
openaire +2 more sources
Applications of Multiparameter Eigenvalue Problems
Nepal Journal of Science and Technology, 2021 It was mainly due to Atkinson works, who introduced Linear Multiparameter Eigenvalue problems (LMEPs), based on determinantal operators on the Tensor Product Space. Later, in the area of Multiparameter eigenvalue problems has received attention from the Mathematicians in the recent years also, who pointed out that there exist a variety of mixed ...
openaire +2 more sources
Fiber product homotopy method for multiparameter eigenvalue problems [PDF]
Numerische Mathematik, 2021 We develop a new homotopy method for solving multiparameter eigenvalue problems (MEPs) called the fiber product homotopy method. For a $k$-parameter eigenvalue problem with matrices of sizes $n_1,\dots ,n_k = O(n)$, fiber product homotopy method requires deformation of $O(1)$ linear equations, while existing homotopy methods for MEPs require $O(n ...
Rodriguez, Jose Israel +3 more
openaire +2 more sources
Asymptotic spectrum of multiparameter eigenvalue problems [PDF]
Proceedings of the Edinburgh Mathematical Society, 1996 Results are given for the asymptotic spectrum of a multiparameter eigenvalue problem in Hilbert space. They are based on estimates for eigenvalues derived from the minim un-maximum principle. As an application, a multiparameter Sturm-Liouville problem is considered.
openaire +1 more source
Comparison cones for multiparameter eigenvalue problems
Journal of Mathematical Analysis and Applications, 1980 AbstractWe consider the multiparameter eigenvalue problem (Tr + ∑s = 1k λs Vrs) xr = 0, xr ≠ 0, 1 ⩽ r ⩽ k, where Tr and Vrs are self-adjoint linear operators on Hilbert spaces Hr, the Vrs being bounded. The problem may be posed in either ⊕r = 1k Hr or ⊕r = 1k Hr and we develop variational approaches for both settings.
Binding, Paul, Browne, Patrick J
openaire +1 more source
Discretization of multiparameter eigenvalue problems
Numerische Mathematik, 1982 Although multiparameter eigenvalue problems, as for example Mathieu's differential equation, have been known for a long time, so far no work has been done on the numerical treatment of these problems. So in this paper we extend the spectral theory for one parameter (cf.
openaire +2 more sources