The power method for the generalized eigenvalue problem

W. Kozłowski · Roczniki Polskiego Towarzystwa Matematycznego. Seria 3, Matematyka Stosowana/Matematyka Stosowana/Mathematica Applicanda · 1992

In this paper the Power Method for the generalized eigenvalue problem for matrix pencil (A—B)x=0 is considered. At any step of this iterative process the system of linear algebraic equations By—Ax has to be approximately solved with respect to y. We try to answer the question: how accurately we have to solve this system on each step of iteration,in order to guarantee resolution of the eigenproblem with given precision.

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