06031154

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06031154 Hochstenbach, Michiel E. Muhi\v{c}, Andrej Plestenjak, Bor On linearizations of the quadratic two-parameter eigenvalue problem. Linear Algebra Appl. 436, No. 8, 2725-2743 (2012). 2012 Elsevier Science Inc. (North-Holland), New York, NY EN quadratic two-parameter eigenvalue problem linearization two-parameter eigenvalue problem numerical experiments

doi:10.1016/j.laa.2011.07.026

The authors analyze several transformations for the solution of the quadratic two-parameter eigenvalue problem (QMEP). They are based either on the linearization of the QMEP as a singular two-parameter eigenvalue problem or on replacing all nonlinear terms by new variables and adding new equations for their relations. Numerical experiments are also presented on some model problems. Constantin Popa (Constan\c ta)