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SVDComplexes :: SVDComplexes



Some functionality here should be moved elsewhere.

Here is an example of the usage.




This documentation describes version 0.2 of SVDComplexes.

Source code

The source code from which this documentation is derived is in the file SVDComplexes.m2.


  • Functions and commands
    • arePseudoInverses -- check the Penrose relations for the pseudo inverse
    • checkSVDComplex (missing documentation)
    • commonEntries -- lists of positions, where they coincide up to threshold
    • euclideanDistance -- compute the euclidean distance of two chain complexes
    • laplacians -- compute the laplacians of a chain complex
    • newChainComplexMap (missing documentation)
    • numericRank -- approximate rank of a matrix, using SVD
    • projectToComplex -- compute a nearby complex with the projection method
    • pseudoInverse -- compute the pseudoInverse of a chainComplex
    • pseudoInverse1 (missing documentation)
    • SVDComplex -- Compute the SVD decomposition of a chainComplex over RR
    • SVDHomology -- Estimate the homology of a chainComplex over RR with the SVD decomposition
  • Symbols
    • Laplacian -- Option for SVDHomology and SVDComplex
    • Projection -- Option for SVDHomology and SVDComplex