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Andrew Knyazev


Mitsubishi Electric Research Laboratories

42 total contributions since 2008

http://en.wikipedia.org/wiki/Andrei_Knyazev_(mathematician)

http://www.merl.com/people/knyazev

Professional Interests: matrix computations, numerical PDEs, signal, image & video processing, data analytics and mining, data coding and transmission, material sciences, and model predictive control.

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Responded


Re: L-shape eigenvalue
It is much more fun to calculate the guaranteed eigenvalue bounds, see, e.g., DOI:10.1137/120878446 and try to beat them.

1 year ago | 1124 views

Responded


Re: Eigs with function handle
The function handle to the matrix itself is no good. You need a function handle either to the action of the matrix inverse (expe...

1 year ago | 2090 views

Submitted


lobpcg.m
LOBPCG solves Hermitian partial generalized eigenproblems using preconditioning, competes with eigs

1 year ago | 12 downloads |

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Answered
Find max/min eigenvalue of a symmetric matrix
try http://www.mathworks.com/matlabcentral/fileexchange/48-lobpcg-m

1 year ago | 1

Answered
Number of eigenvalues when using eigs
This is normal for eigs.

1 year ago | 0

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positive-definiteness of a huge sparse matrix
try http://www.mathworks.com/matlabcentral/fileexchange/48-lobpcg-m

1 year ago | 0

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how can i find k-eigenvalues faster than eig for hermitian dense matrix
try http://www.mathworks.com/matlabcentral/fileexchange/48-lobpcg-m

1 year ago | 0

Answered
Take advantage of Hermitian matrices with eigs
You need to be more specific. Also, try http://www.mathworks.com/matlabcentral/fileexchange/48-lobpcg-m

1 year ago | 0

Answered
Parallel computing of eigs
check SLEPc and BLOPEX

1 year ago | 0

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Sparse solver for large symmetric matrices
both eigs and http://www.mathworks.com/matlabcentral/fileexchange/48-lobpcg-m can be used in a matrix-free fashion, only needing...

1 year ago | 0

Answered
Difference between eigs and eig
Is this behavior expected? - Yes. Eigs uses a tricky method that may give the results you describe, especially for funny mat...

1 year ago | 0

Answered
eigs function: incorrect eigenvectors
This is normal for eigs. If you are happy with eig, just stay with it.

1 year ago | 0

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Why can't I compute the interior eigenvalues of a sparse matrix with "eigs" without inversion in MATLAB?
check http://www.mathworks.com/matlabcentral/fileexchange/48-lobpcg-m

1 year ago | 0

Answered
How can I get the (approximate) eigenvectors of a huge matrix?
try http://www.mathworks.com/matlabcentral/fileexchange/48-lobpcg-m

1 year ago | 0

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How can I speed up the eigen value and eigen vector computations for a non-sparse matrix?
check http://www.mathworks.com/matlabcentral/fileexchange/48-lobpcg-m

1 year ago | 0

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How can the Cholesky decomposition step in eigs() be avoided without passing a matrix to eigs that is a Cholesky decomposition?
check http://www.mathworks.com/matlabcentral/fileexchange/48-lobpcg-m

1 year ago | 0

Submitted


ortha.m
Orthonormalization Relative to matrix A

1 year ago | 0 downloads |

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subspace.m
Angle between subspaces.

1 year ago | 0 downloads |

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Submitted


majorization check
checks if X is (weakly) majorized by Y, where X and Y must be numeric arrays.

1 year ago | 5 downloads |

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subspacea.m
Angles between subspaces. Canonical correlations.

1 year ago | 3 downloads |

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Submitted


pcg.m with 'null' and 'flex' options
Preconditioned Conjugate Gradients handles homogeneous equations and nonsymmetric preconditioning

1 year ago | 2 downloads |

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Submitted


Best polynomial approximation in uniform norm
For a given function on an interval, the code calculates the min-max approximation by a polynomial.

1 year ago | 3 downloads |

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Submitted


ODE Tutorial Demo
Advanced examples of using the MATLAB Symbolic Math Toolbox for Ordinary Differential Equations

1 year ago | 1 downloads |

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Submitted


Newton's method done right
Newton's method for solving systems of nonlinear equations, including nonsquare and inconsistent

1 year ago | 24 downloads |

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Submitted


Laplacian in 1D, 2D, or 3D
Sparse (1-3)D Laplacian on a rectangular grid with exact eigenpairs.

1 year ago | 42 downloads |

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Answered
eigs with sparse matrices
try my http://www.mathworks.com/matlabcentral/fileexchange/48-lobpcg-m instead

5 years ago | 0

Answered
Memory requirements of lobpcg: Matlab and hypre implementation differences
Have you actually tried the development version of SLEPc? The one that one gets by svn checkout http://www.grycap.upv.es/sle...

5 years ago | 0

Answered
Memory requirements of lobpcg: Matlab and hypre implementation differences
The development version of SLEPc incorporates BLOPEX now, see http://code.google.com/p/blopex/wiki/PETScInstallDevel so that yo...

5 years ago | 0

Answered
Memory requirements of lobpcg: Matlab and hypre implementation differences
Please try adding the following options to the ij driver: "-hmis -agg_nl 1 -interptype 6 -Pmx 4" These are proposed by a member ...

5 years ago | 0

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