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SVDComplexes : Index
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arePseudoInverses
-- check the Penrose relations for the pseudo inverse
arePseudoInverses(ChainComplex,ChainComplex)
-- check the Penrose relations for the pseudo inverse
arePseudoInverses(Matrix,Matrix)
-- check the Penrose relations for the pseudo inverse
checkSVDComplex
(missing documentation)
commonEntries
-- lists of positions, where they coincide up to threshold
commonEntries(List,List)
-- lists of positions, where they coincide up to threshold
euclideanDistance
-- compute the euclidean distance of two chain complexes
euclideanDistance(ChainComplex,ChainComplex)
-- compute the euclidean distance of two chain complexes
Laplacian
-- Option for SVDHomology and SVDComplex
laplacians
-- compute the laplacians of a chain complex
laplacians(ChainComplex)
-- compute the laplacians of a chain complex
newChainComplexMap
(missing documentation)
numericRank
-- approximate rank of a matrix, using SVD
numericRank(Matrix)
-- approximate rank of a matrix, using SVD
numericRank(MutableMatrix)
-- approximate rank of a matrix, using SVD
numericRank(RR,Matrix)
-- approximate rank of a matrix, using SVD
numericRank(RR,MutableMatrix)
-- approximate rank of a matrix, using SVD
Projection
-- Option for SVDHomology and SVDComplex
projectToComplex
-- compute a nearby complex with the projection method
projectToComplex(ChainComplex,HashTable)
-- compute a nearby complex with the projection method
pseudoInverse
-- compute the pseudoInverse of a chainComplex
pseudoInverse(ChainComplex)
-- compute the pseudoInverse of a chainComplex
pseudoInverse1
(missing documentation)
SVDComplex
-- Compute the SVD decomposition of a chainComplex over RR
SVDComplex(...,Strategy=>...)
-- Compute the SVD decomposition of a chainComplex over RR
SVDComplex(...,Threshold=>...)
-- Compute the SVD decomposition of a chainComplex over RR
SVDComplex(ChainComplex)
-- Compute the SVD decomposition of a chainComplex over RR
SVDComplex(ChainComplex,ChainComplex)
-- Compute the SVD decomposition of a chainComplex over RR
SVDComplexes
-- support for computing homology, ranks and SVD complexes, for a chain complex over the real numbers
SVDHomology
-- Estimate the homology of a chainComplex over RR with the SVD decomposition
SVDHomology(...,Strategy=>...)
-- Estimate the homology of a chainComplex over RR with the SVD decomposition
SVDHomology(...,Threshold=>...)
-- Estimate the homology of a chainComplex over RR with the SVD decomposition
SVDHomology(ChainComplex)
-- Estimate the homology of a chainComplex over RR with the SVD decomposition
SVDHomology(ChainComplex,ChainComplex)
-- Estimate the homology of a chainComplex over RR with the SVD decomposition