
SINGULAR
 Referenced in 1441 articles
[sw00866]
 SINGULAR is a Computer Algebra system (CAS) for polynomial computations in commutative algebra, algebraic geometry ... singularity theory. SINGULAR’s main computational objects are ideals and modules over a large variety ... quotient rings with respect to an ideal. SINGULAR features fast and general implementations for computing ... shell and a Clike programming language, SINGULAR’s internal functionality is augmented and user...

LAPACK
 Referenced in 1654 articles
[sw00503]
 linear systems of equations, eigenvalue problems, and singular value problems. The associated matrix factorizations...

RODAS
 Referenced in 1623 articles
[sw04112]
 form My’=f(x,y) with possibly singular matrix M; with dense output; algebraic order...

LINPACK
 Referenced in 516 articles
[sw04209]
 addition, the package computes the QR and singular value decompositions of rectangular matrices and applies...

EISPACK
 Referenced in 486 articles
[sw04208]
 addition, two routines are included that use singular value decomposition to solve certain leastsquares...

HomCont
 Referenced in 236 articles
[sw14927]
 including the detection of many codimensiontwo singularities and the continuation of these singularities...

QUADPACK
 Referenced in 254 articles
[sw01236]
 integrals of functions of one variable, including singular integrands and infinite intervals...

UTV
 Referenced in 250 articles
[sw05213]
 able to capture all the dominant singular values of a sparse or structured matrix. These...

Bertini
 Referenced in 236 articles
[sw06683]
 fractional powerseries endgame to accurately compute singular roots Allows for subfunctions. Allows for witness...

SLEPc
 Referenced in 169 articles
[sw00875]
 other related problems such as the singular value decomposition or the quadratic eigenvalue problem...

Plural
 Referenced in 83 articles
[sw00719]
 Singular is a computer algebra system (CAS) developed for efficient computations with polynomials. Plural ... kernel) extension of Singular to noncommutative polynomial rings having PBW bases and their quotients (called ... algebras). All fields available in Singular and all the global monomial orderings are supported ... thirdparty libraries in the Singular language...

FISHPAK
 Referenced in 95 articles
[sw08012]
 cyclic reduction algorithm. When the problem is singular, a leastsquares solution is computed. Singularities...

BiCGstab
 Referenced in 126 articles
[sw04022]
 linear algebraic equations with a nonsingular n×n matrix are studied. The basis...

Gfan
 Referenced in 118 articles
[sw04698]
 speed compared to programs such as CoCoA, Singular and Macaulay2...

BEMECH
 Referenced in 111 articles
[sw10847]
 description of methods for evaluating singularities and solving nonlinear systems of equations; e) the description...

PROPACK
 Referenced in 106 articles
[sw04019]
 functions for computing the singular value decomposition of large and sparse or structured matrices...

svdpack
 Referenced in 60 articles
[sw04819]
 four numerical (iterative) methods for computing the singular value decomposition (SVD) of large sparse matrices ... methods for determining several of the largest singular triplets (singular values and corresponding left ... rightsingular vectors) for large sparse matrices. The package has been ported to a variety...

impute
 Referenced in 99 articles
[sw14376]
 implemented and evaluated three methods: a Singular Value Decomposition (SVD) based method (SVDimpute), weighted...

GL(n)pack
 Referenced in 92 articles
[sw13116]
 Iwasawa decomposition of a given nonsingular n×n real matrix, to find generalized Casimir...

LOCBIF
 Referenced in 65 articles
[sw07928]
 discussed. It allows the analysis of various singularities of generic systems and of their mutual ... approach is extended to codimension three singularities. We introduce several bifurcation functions and show...