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On the singular two-parameter eigenvalue problem
2009
The Electronic Journal of Linear Algebra
In the 1960s, Atkinson introduced an abstract algebraic setting for multiparameter eigenvalue problems. He showed that a nonsingular multiparameter eigenvalue problem is equivalent to the associated system of generalized eigenvalue problems. Many theoretical results and numerical methods for nonsingular multiparameter eigenvalue problems are based on this relation. In this paper, the above relation to singular two-parameter eigenvalue problems is extended, and it is shown that the simple finite
doi:10.13001/1081-3810.1322
fatcat:gbaenhubo5ftrkno64xp7jolti