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Andrew Knyazev


41 total contributions since 2010

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

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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Submitted


Locally Optimal Block Preconditioned Conjugate Gradient
LOBPCG solves Hermitian partial generalized eigenvalue problems using preconditioning, as well as PCA

12 days ago | 23 downloads |

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Answered
Eigs in multinode cluster
EIGS has limited support for distributed memory, so you can run it only on a single node, but see the answer from Christine Tob...

14 days ago | 0

| accepted

Answered
How do read .npy files in matlab?
https://github.com/kwikteam/npy-matlab

14 days ago | 0

Answered
Laplacian clustering on Network
Spectral clustering using the graph Laplacian is well fully implemented, e.g., in https://github.com/scikit-learn

5 months ago | 0

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Error returned in Eigs Function " Undefined operator '.*' "
Looks like a bug in chebfun - just make this comment at <https://www.mathworks.com/matlabcentral/fileexchange/47023-chebfun-curr...

9 months ago | 0

Answered
eigs does not return the eigenvalues closest to shift sigma
You may also want to try https://www.mathworks.com/matlabcentral/fileexchange/48-lobpcg-m passing your function handle to it. Co...

9 months ago | 0

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find eigenvalues of a very large sparse matrix
If the matrix is real symmetric or Hermitian, you may also want to try https://www.mathworks.com/matlabcentral/fileexchange/48-l...

9 months ago | 0

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LOBPCG Initial k eigenvectors approximation
See https://en.wikipedia.org/wiki/LOBPCG#Convergence_theory_and_practice

9 months ago | 0

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eigs() runs faster for more eigenvalues of the same matrix
Please check <https://www.mathworks.com/matlabcentral/fileexchange/48-lobpcg-m> that has probably faster and more predictable co...

11 months ago | 1

Answered
How do i obtain only the first principal component?
https://www.mathworks.com/matlabcentral/fileexchange/48-lobpcg-m can be used as the method for calculating the eigenvector corre...

11 months ago | 0

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Smallest non-zero eigenvalue for a generalized eigenvalue problem
Since both matrices A and B are singular, it is not an easy problem numerically. Even eig(full(A), full(B)) may give you wrong a...

11 months ago | 0

| accepted

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

4 years ago | 1

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

4 years ago | 0

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

4 years 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

4 years ago | 0

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

4 years ago | 0

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Parallel computing of eigs
check SLEPc and BLOPEX

4 years 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...

4 years ago | 0

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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...

4 years ago | 0

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

4 years 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

4 years ago | 0

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

4 years ago | 0

Answered
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

4 years ago | 0

Answered
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

4 years ago | 0

Submitted


ortha.m
Orthonormalization Relative to matrix A

4 years ago | 0 downloads |

Submitted


subspace.m
Angle between subspaces.

4 years ago | 0 downloads |

Submitted


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

4 years ago | 0 downloads |

Submitted


subspacea.m
Angles between subspaces. Canonical correlations.

4 years ago | 3 downloads |

Submitted


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

4 years ago | 0 downloads |

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