
Macaulay2
 Referenced in 1332 articles
[sw00537]
 coherent sheaves on projective varieties, primary decomposition of ideals, integral closure of rings, and more...

JDQZ
 Referenced in 515 articles
[sw07031]
 used to compute a partial generalized Schur decomposition of the pair (A,B). The decomposition...

JDQR
 Referenced in 438 articles
[sw04021]
 used to compute a partial Schur decomposition of A. The decomposition leads to the wanted...

LINPACK
 Referenced in 461 articles
[sw04209]
 package computes the QR and singular value decompositions of rectangular matrices and applies them...

EISPACK
 Referenced in 460 articles
[sw04208]
 routines are included that use singular value decomposition to solve certain leastsquares problems. EISPACK...

UTV
 Referenced in 195 articles
[sw05213]
 computing and modifying symmetric rankrevealing VSV decompositions, we expand the algorithms for the ULLV ... decomposition of a matrix pair to handle interferencetype problems with a rankdeficient covariance...

QEPCAD
 Referenced in 264 articles
[sw00752]
 quantifier elimination by partial cylindrical algebraic decomposition due orginally to Hoon Hong, and subsequently added...

Chebfun
 Referenced in 253 articles
[sw05897]
 linear algebra notions like the QR decomposition and the SVD, and solves ordinary differential equations...

gss
 Referenced in 223 articles
[sw06099]
 multivariate models with builtin ANOVA decompositions. Extensive discussions are devoted to model construction, smoothing...

PLTMG
 Referenced in 204 articles
[sw00717]
 parallel adaptive meshing paradigm and corresponding domain decomposition solver are also provided. PLTMG is provided...

Bertini
 Referenced in 177 articles
[sw06683]
 isolated solutions and for the numerical irreducible decomposition. Treats positivedimensional solutions by computing witness...

Chaco
 Referenced in 110 articles
[sw09640]
 communication is kept small. Finding an optimal decomposition is provably hard ... developing heuristics for this problem. The decomposition problem can be addressed in terms of graph...

SuperLU
 Referenced in 137 articles
[sw00930]
 library routines will perform an LU decomposition with partial pivoting and triangular system solves through...

LiE
 Referenced in 136 articles
[sw01075]
 Some specialities of LiE are: tensor product decompositions, branching to subgroups, Weyl group orbits, reduced...

SLEPc
 Referenced in 121 articles
[sw00875]
 related problems such as the singular value decomposition or the quadratic eigenvalue problem...

MSLiP
 Referenced in 107 articles
[sw01410]
 describes an efficient implementation of a nested decomposition algorithm for the multistage stochastic linear programming...

PMA
 Referenced in 74 articles
[sw19126]
 Performs Penalized Multivariate Analysis: a penalized matrix decomposition, sparse principal components analysis, and sparse canonical ... Tibshirani and Hastie (2009) A penalized matrix decomposition, with applications to sparse principal components...

Steerable pyramid
 Referenced in 69 articles
[sw14908]
 linear multiscale, multiorientation image decomposition that provides a useful frontend for image ... overcome the limitations of orthogonal separable wavelet decompositions that were then becoming popular for image...

NAPACK
 Referenced in 68 articles
[sw11666]
 compute eigenvalues, eigenvectors, the singular value decomposition, or the QR decomposition. The package has special...

redbKIT
 Referenced in 67 articles
[sw12977]
 spaces using greedy algorithms and proper orthogonal decomposition techniques, investigate their approximation properties and analyze ... offlineonline decomposition strategies aimed at the reduction of computational complexity. Furthermore, they carry...