
Bertini
 Referenced in 233 articles
[sw06683]
 numerical irreducible decomposition. Treats positivedimensional solutions by computing witness sets. Has automatic differentiation which...

MUMPS
 Referenced in 451 articles
[sw04013]
 Solution of large linear systems with symmetric positive definite matrices; general symmetric matrices; general unsymmetric...

PARDISO
 Referenced in 274 articles
[sw00679]
 symmetric or symmetric systems, real or complex, positive definite or indefinite, hermitian. LU with complete ... direct solver algorithms to accelerate the solution process for very large threedimensional systems...

CHOLMOD
 Referenced in 100 articles
[sw04412]
 routines for factorizing sparse symmetric positive definite matrices of the form A or AAT, updating/downdating ... Cholesky factorization, solving linear systems, updating/downdating the solution to the triangular system ... when A is sparse symmetric positive definite, as well as in several other sparse matrix...

PHClab
 Referenced in 15 articles
[sw09668]
 blackbox solver for finding isolated solutions. We executed the PHClab functions on our cluster computer ... tools to represent, factor, and intersect positive dimensional solution sets...

QPOPT
 Referenced in 17 articles
[sw07859]
 Hessian is positive definite or positive semidefinite), the solution obtained will be a global minimizer...

tn
 Referenced in 135 articles
[sw05140]
 developed via the Lanczos method) in the solution of largescale unconstrained minimization problems ... problems that do not necessarily have positivedefinite Hessian matrices. This derivation also makes...

Phcmaple
 Referenced in 6 articles
[sw13452]
 extended with facilities to deal with positive dimensional solution sets. The interface illustrates the beneØts...

AVIO
 Referenced in 7 articles
[sw23090]
 times fewer false positives than previous solutions on average...

Algorithm 831
 Referenced in 11 articles
[sw04465]
 real a and positive x; these functions are independent solutions of the differential equation...

Boltzmann
 Referenced in 42 articles
[sw07008]
 present accurate methods for the numerical solution of the Boltzmann equation of rarefied ... third order accurate (in space) positive and flux conservative (PFC) method. The collision step...

DynamicPrevariety
 Referenced in 3 articles
[sw19962]
 application of polyhedral methods to compute positive dimensional solution sets of polynomial systems. In particular...

Bertini.m2
 Referenced in 10 articles
[sw08784]
 users can find approximate solutions to zerodimensional systems and positivedimensional systems, test numerically...

galeDuality
 Referenced in 1 article
[sw18222]
 schemetheoretic isomorphism exists between the positive solutions of any polynomial system and the solutions ... interior of the positive chamber of the Gale Dual of the system. Currently, galeDuality will ... algorithm exists to find only the real solutions. When the number of monomials exceeds...

MINRES
 Referenced in 33 articles
[sw13371]
 provide a preconditioner, but it must be positive definite. MINRES is really solving ... MINRES returns a leastsquares solution with small Ar (where...

ISUD
 Referenced in 13 articles
[sw34491]
 basis in order to obtain such a solution. We improve the Balas and Padberg results ... sequence by only using normal pivots on positive coefficients. We present results for largescale ... variables) for which optimal integer solutions are often obtained without any branching...

Algorithm 731
 Referenced in 37 articles
[sw12847]
 differential equations (PDEs) in one dimension having solutions with steep gradients in space ... smoothedequidistribution principle to define the grid positions at each time level, has been coupled...

CWRESU
 Referenced in 37 articles
[sw12903]
 differential equations (PDEs) in one dimension having solutions with steep gradients in space ... smoothedequidistribution principle to define the grid positions at each time level, has been coupled...

CWRESX
 Referenced in 37 articles
[sw12904]
 differential equations (PDEs) in one dimension having solutions with steep gradients in space ... smoothedequidistribution principle to define the grid positions at each time level, has been coupled...

MINRESQLP
 Referenced in 20 articles
[sw11181]
 length solution (also known as the pseudoinverse solution), which generally eludes MINRES. In all cases ... instability in the original MINRES algorithm. A positivedefinite preconditioner may be supplied. Our FORTRAN...