Computation of pseudospectra
نویسندگان
چکیده
منابع مشابه
Computation of Pseudospectra
There is more to the computation of pseudospectra than the obvious algorithm of computing singular value decompositions on a grid and sending the results to a contour plotter. Other methods may be hundreds of times faster. The state of the art is reviewed, with emphasis on methods for dense matrices, and a Matlab code is given.
متن کاملPseudospectra Computation of Large Matrices
Transfer functions have been shown to provide monotonic approximations to the resolvent 2-norm of A, R(z) = (A − zI), when associated with a sequence of nested spaces. This paper addresses the open question of the effectiveness of the transfer function scheme for the computation of the pseudospectrum of large matrices. It is shown that the scheme can be combined with certain Krylov type linear ...
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The concept of pseudospectrum was introduced by L. N. Trefethen to explain the behavior of nonnormal operators. Many phenomena (for example, hydrodynamic instability and convergence of iterative methods for linear systems) cannot be accounted for by eigenvalue analysis but are more understandable by examining the pseudospectra. The straightforward way to compute pseudospectra involves many appl...
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The pseudospectrum descent method (PsDM) is proposed, a new parallel method for the computation of pseudospectra. The idea behind the method is to use points from an already existing pseudospectrum level curve oK to generate in parallel the points of a new level curve oKd such that d < . This process can be continued for several steps to approximate several pseudospectrum level curves lying ins...
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ژورنال
عنوان ژورنال: Acta Numerica
سال: 1999
ISSN: 0962-4929,1474-0508
DOI: 10.1017/s0962492900002932