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Yuji Nakatsukasa

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25 Oct 2013 Screenshot Computing common zeros of two bivariate functions For bivariate functions f(x,y) and g(x,y), compute values of (x,y) such that f(x,y)=g(x,y)=0 Author: Yuji Nakatsukasa bivariate functions, rootfinding, polynomial, resultant, bezoutian, chebfun2 14 0
23 May 2012 Screenshot Symmetric eigenvalue decomposition and the SVD Eigendecomposition of a symmetric matrix or the singular value decomposition of an arbitrary matrix Author: Yuji Nakatsukasa mathematics, matrix, eigenvalue, singular value, decomposition 34 7
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19 Dec 2012 Symmetric eigenvalue decomposition and the SVD Eigendecomposition of a symmetric matrix or the singular value decomposition of an arbitrary matrix Author: Yuji Nakatsukasa

Dear saitarun,
The code qdwheig.m is designed to work only for real symmetric or complex Hermitian matrices. For eigenvalue problems with nonsymmetric matrices I suggest simply using MATLAB's built-in command eig.

19 Oct 2012 Symmetric eigenvalue decomposition and the SVD Eigendecomposition of a symmetric matrix or the singular value decomposition of an arbitrary matrix Author: Yuji Nakatsukasa

Dear Henc,
Many apologies for the delay, I did not notice your comment until now. Regarding row sorting, yes it is a valid option and you can use it when the rows of the matrix have widely varying norms. However there is no theory to support its use (if both column pivoting and row sorting is used the QDWH algorithm can be shown to give backward stable results; however in practice pivoting/sorting is not necessary, and not recommended for speed).

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04 Feb 2014 Symmetric eigenvalue decomposition and the SVD Eigendecomposition of a symmetric matrix or the singular value decomposition of an arbitrary matrix Author: Yuji Nakatsukasa Nakatsukasa, Yuji

Dear Uri,
While I am happy to see your comment, that sounds surprising (my code often gives better accuracy, but the MATLAB built-in svd, eig, schur are also all backward stable and robust). Could you say more about how the built-in functions failed?

12 Jan 2014 Symmetric eigenvalue decomposition and the SVD Eigendecomposition of a symmetric matrix or the singular value decomposition of an arbitrary matrix Author: Yuji Nakatsukasa Cohen, Uri

Worked brilliently for me, where the built-in svd, eig and schur have failed completely!

26 Oct 2013 Symmetric eigenvalue decomposition and the SVD Eigendecomposition of a symmetric matrix or the singular value decomposition of an arbitrary matrix Author: Yuji Nakatsukasa Il

19 Dec 2012 Symmetric eigenvalue decomposition and the SVD Eigendecomposition of a symmetric matrix or the singular value decomposition of an arbitrary matrix Author: Yuji Nakatsukasa Nakatsukasa, Yuji

Dear saitarun,
The code qdwheig.m is designed to work only for real symmetric or complex Hermitian matrices. For eigenvalue problems with nonsymmetric matrices I suggest simply using MATLAB's built-in command eig.

19 Dec 2012 Symmetric eigenvalue decomposition and the SVD Eigendecomposition of a symmetric matrix or the singular value decomposition of an arbitrary matrix Author: Yuji Nakatsukasa reddy, saitarun

I am trying to code the eigen value decomposition for a non-symmetric matrix and i end up getting complex eigen values. Can anyone help me on this?

Thanks.

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