Re: Partial Schur decomposition in Matlab



On Wed, 31 Oct 2007 16:50:58 +0000, Peter Spellucci wrote:

In article <fg9dbf$eo8$1@xxxxxxxxxxxxxxx>,
Dirk Diggler <dirk_f_diggler@xxxxxxxxx> writes:
>Arpack (routine XXaupd.f) naturally calculates orthogonal basis for a
>selected invariant subspace of a linear operator, thus producing a matrix
>with (real) orthonormal columns which can be directly used to obtain a
hardly if the operator isn't self adjoined (hermitian)
and in order to make sense the question implies that an
nonhermitian case is wanted _ otherwise the question had been a joke

peter

Sorry, my mistake. Xneupd does that. And of course, nonhermitian case is
wanted. For example, this is a part of dneupd.f:


c\BeginDoc
c
c\Name: dneupd
c
c\Description:
c
c This subroutine returns the converged approximations to eigenvalues
c of A*z = lambda*B*z and (optionally):
c
c (1) The corresponding approximate eigenvectors;
c
c (2) An orthonormal basis for the associated approximate
c invariant subspace;
c
c (3) Both.
c
c There is negligible additional cost to obtain eigenvectors. An orthonormal
c basis is always computed. There is an additional storage cost of n*nev
c if both are requested (in this case a separate array Z must be supplied).
c
.



Relevant Pages

  • Re: How to identify this kind of equation?
    ... It's an integro-differential equation. ... orthonormal basis of L^2[0,infty)), which you then truncate to solve ... orthonormal basis of eigenvectors will exist. ...
    (sci.math.num-analysis)
  • Re: How to identify this kind of equation?
    ... It's an integro-differential equation. ... orthonormal basis of L^2[0,infty)), which you then truncate to solve ... orthonormal basis of eigenvectors will exist. ...
    (sci.math.num-analysis)
  • Re: Linear transformations
    ... B is the change-of-basis matrix from Y to the standard basis). ... Then the answer is "you can never find such an X", as Robert Israel ... eigenvectors of these two matrices A and B. ...
    (sci.math)
  • Re: Matrices, Eigenvectors and Eigenvalues
    ... I have a question regarding eigenvectors. ... I have seen that if your system is hermitian, skew-hermitian ... I'm wondering if this result of forming a basis is exclusive to these ...
    (sci.math)
  • Matrices, Eigenvectors and Eigenvalues
    ... I have a question regarding eigenvectors. ... I have seen that if your system is hermitian, ... the corresponding eigenvectors for your system form a basis ... I'm wondering if this result of forming a basis is exclusive to these ...
    (sci.math)