
VODE
 Referenced in 207 articles
[sw01005]
 possibility to save the Jacobian matrix to be used in the solution of the implicit ... between 50 and 400 and the Jacobian is banded in all cases. It is found...

LSODE
 Referenced in 135 articles
[sw04374]
 stiff case, it treats the Jacobian matrix df/dy as either a dense (full...

HOMPACK
 Referenced in 122 articles
[sw05324]
 equationbased, normal flow, and augmented Jacobian matrix. Separate routines are also provided for dense...

UMAT
 Referenced in 85 articles
[sw08803]
 called; must provide the material Jacobian matrix for the mechanical constitutive model; can be used...

LOCA
 Referenced in 33 articles
[sw04717]
 however, instead of loading up the Jacobian matrix for the entire augmented system (a task ... that involved second derivatives and dense matrix rows), bordering algorithms are used to decompose ... just require multiple solves of the Jacobian matrix for the steady state problem to calculate ... complex matrix involving the Jacobian matrix and an imaginary multiple of the mass matrix...

HOMPACK90
 Referenced in 47 articles
[sw00412]
 based, normal flow, quasiNewton augmented Jacobian matrix – are provided for tracking homotopy zero curves ... separate routines for dense and sparse Jacobian matrices. A high level driver for the special ... several sparse matrix data structures, and new iterative algorithms for large sparse Jacobian matrices...

Multilinear Engine
 Referenced in 33 articles
[sw14430]
 inspecting the singular values of the Jacobian matrix. A global solution may be searched...

DiffSharp
 Referenced in 60 articles
[sw16033]
 DiffSharp library, differentiation (gradients, Hessians, Jacobians, directional derivatives, and matrixfree Hessian and Jacobianvector...

ADMAT
 Referenced in 31 articles
[sw04864]
 appropriate, ADMAT 2.0 will evaluate the Jacobian matrix (for which the gradient is a special...

CVODE
 Referenced in 62 articles
[sw04947]
 Inexact Newton iteration, using the current Jacobian (through matrixfree products), in which the linear ... linear solvers are available. An approximate diagonal Jacobian option is also available with both versions...

TENSOLVE
 Referenced in 29 articles
[sw00956]
 reasonable to calculate the Jacobian matrix or to approximate it by finite differences at each...

AHFinderDirect
 Referenced in 29 articles
[sw04972]
 symbolic differentiation’ technique to compute the Jacobian matrix. AHFINDERDIRECT is implemented as a thorn...

FaCSI
 Referenced in 18 articles
[sw18530]
 Factorized form of the linearized FSI matrix, the use of static Condensation to formally eliminate ... Gauss–Seidel factorization of the FSI Jacobian matrix and it uses adhoc preconditioners...

PADRE2
 Referenced in 14 articles
[sw00667]
 vector, and the product of the Jacobian matrix and a constant vector as well...

KIOPS
 Referenced in 14 articles
[sw30345]
 spectrum or norm of the Jacobian matrix is known a priori. We first show that...

Adjoint
 Referenced in 11 articles
[sw08877]
 produce code that computes the flux Jacobian matrix and the other partial derivatives that...

GEARBI
 Referenced in 10 articles
[sw09630]
 diagonal blocks of the Jacobian matrix. The new version assumes no structure for these blocks ... routine to compute matrixvector products involving blockrows of the Jacobian, with the diagonal...

Adept
 Referenced in 8 articles
[sw19696]
 compute the adjoint), or the full Jacobian matrix can be computed. Moreover, the way that...

OPALQP
 Referenced in 8 articles
[sw04847]
 sparse data structures for the Jacobian matrix of constraint normals, the use of limited memory...

DSJM
 Referenced in 6 articles
[sw12532]
 that enables direct determination of sparse Jacobian matrices. Our design exploits the recently proposed unifying ... greedy partitioning algorithm after the sparse matrix has been preprocessed with ordering heuristics for efficiency ... their efficient implementation for sparse Jacobian matrix determination, Disc. Appl. Math...