Huper, KnutTrumpf, JochenKnut HüperJochen Trumpf2015-12-079781470044008http://hdl.handle.net/1885/28039The problem of computing a p-dimensional invariant subspace of a symmetric positive-definite matrix pencil of dimension n is interpreted as computing a zero of a tangent vector field on the Grassmann manifold of p-planes in Rn. The theory of Newton’s method on manifolds is applied to this problem, and the resulting Newton equations are interpreted as block versions of the Jacobi–Davidson correction equation for the generalized eigenvalue problem.508 pages20132015-12-07