Symplectic Methods for the Symplectic Eigenproblem - download pdf or read online

By Heike Fassbender

the answer of eigenvalue difficulties is a vital part of many medical computations. for instance, the numerical resolution of difficulties in structural dynamics, electric networks, macro-economics, quantum chemistry, and c- trol idea frequently calls for fixing eigenvalue difficulties. The coefficient matrix of the eigenvalue challenge will be small to medium sized and dense, or huge and sparse (containing many zeroelements). some time past large advances were completed within the answer equipment for symmetric eigenvalue pr- lems. The state-of-the-art for nonsymmetric difficulties isn't really so complicated; nonsymmetric eigenvalue difficulties could be hopelessly tough to resolve in a few events due, for instance, to terrible conditioning. reliable numerical algorithms for nonsymmetric eigenvalue difficulties additionally are usually way more complicated than their symmetric opposite numbers. This e-book offers with tools for fixing a different nonsymmetric eig- price challenge; the symplectic eigenvalue challenge. The symplectic eigenvalue challenge is useful, e.g., in studying a few various questions that come up in linear keep watch over thought for discrete-time structures. sure quadratic eigenvalue difficulties bobbing up, e.g., in finite aspect discretization in structural research, in acoustic simulation of poro-elastic fabrics, or within the elastic deformation of anisotropic fabrics may also bring about symplectic eigenvalue difficulties. the matter seems in different purposes as well.

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Symplectic Methods for the Symplectic Eigenproblem by Heike Fassbender

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