
INTLAB
 Referenced in 472 articles
[sw04004]
 fast) Gradients (to solve systems of nonlinear equations) Hessians (for global optimization) Taylor series ... inner inclusions) accurate summation, dot product and matrixvector residuals (interpreted, reference implementation, slow) multiple...

Algorithm 705
 Referenced in 14 articles
[sw08105]
 software package for solving the Sylvester matrix equation AXB T +CXD T =E. This paper ... software package for solving the Sylvester matrix equation (1) AXBT + CXDT = e All quantities...

hlib
 Referenced in 84 articles
[sw04080]
 matrix arithmetics, the treatment of partial differential equations and a number of integral operators...

COMPleib
 Referenced in 60 articles
[sw06359]
 minimizing spectral functions, Lyapunov/Riccati equations, control system design and related matrix problems...

SQUINT
 Referenced in 15 articles
[sw14350]
 algorithm to compute solvents of the matrix equation...

recsy
 Referenced in 8 articles
[sw04139]
 parallel algorithms for Sylvestertype matrix equations with some applications In this contribution, we review ... time and discretetime Sylvestertype matrix equations. The analysis is based on RECSY ... ways of introducing blocking for solving matrix equations in reduced (quasitriangular) form are reviewed ... consider parallelization of algorithms for reduced matrix equations at two levels: globally in a distributed...

reducedLP
 Referenced in 12 articles
[sw04821]
 program in standard form where the constraint matrix A is m×n, with ... that cost by replacing the normal equation matrix, AD 2 A T , where...

LSODE
 Referenced in 135 articles
[sw04374]
 LSODE (Livermore Solver for Ordinary Differential Equations) solves stiff and nonstiff systems of the form ... stiff case, it treats the Jacobian matrix df/dy as either a dense (full...

Nektar++
 Referenced in 104 articles
[sw11964]
 study. Numerical methods for elliptic partial differential equations (PDEs) within both continuous and hybridized discontinuous ... share the same general structure: local (elemental) matrix generation followed by a global linear system...

MORLAB
 Referenced in 9 articles
[sw25667]
 systems based on the solution of matrix equations. The implementation is based on spectral projection...

CARMA
 Referenced in 9 articles
[sw07235]
 GaussSeidel iteration for solving the matrix equations $oldsymbol{Ax}=oldsymbol{b}$. Iterative identification methods...

Sparse 1.3
 Referenced in 6 articles
[sw06368]
 handle arbitrary real and complex square matrix equations. Besides solving linear systems, Sparse can also ... from illconditioning in the system of equations and instability in the computations. Sparse also ... test program that can read matrix equations from a file, solve them, and print useful...

KANTBP
 Referenced in 18 articles
[sw00482]
 program for computing energy levels, reaction matrix and radial wave functions in the coupledchannel ... approach [24], a multidimensional Schrödinger equation for a twoelectron system ... secondorder ordinary differential equations which contain potential matrix elements and firstderivative coupling terms ... eigensolutions for such systems of coupled differential equations...

HOMPACK90
 Referenced in 47 articles
[sw00412]
 algorithms – ordinary differential equation based, normal flow, quasiNewton augmented Jacobian matrix – are provided...

PARSEC
 Referenced in 20 articles
[sw22333]
 computer code that solves the KohnSham equations by expressing electron wavefunctions directly ... sparsity of the Hamiltonian matrix, the KohnSham equations are solved by direct diagonalization, with...

Algorithm 919
 Referenced in 71 articles
[sw07350]
 large system of linear ordinary differential equations (ODEs) with polynomial inhomogeneity. This is equivalent ... computing the action of a certain matrix function on the vector representing the initial condition...

SuperLU
 Referenced in 196 articles
[sw00930]
 large, sparse, nonsymmetric systems of linear equations on high performance machines. The library is written ... performed only for square matrices. The matrix columns may be preordered (before factorization) either through...

ODEPACK
 Referenced in 206 articles
[sw08341]
 initial value problem for ordinary differential equation systems. It consists of nine solvers, namely ... solvers use general sparse matrix solvers for the linear systems that arise. Two others...

AILU
 Referenced in 27 articles
[sw41207]
 elliptic symmetric partial differential equations. Instead of working at the matrix level, we construct...

Algorithm 840
 Referenced in 27 articles
[sw04463]
 prolate differential equation; this yields a symmetric tridiagonal matrix. The prolate functions are then defined...