• 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 matrix-vector 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 Sylvester-type matrix equations with some applications In this contribution, we review ... time and discrete-time Sylvester-type matrix equations. The analysis is based on RECSY ... ways of introducing blocking for solving matrix equations in reduced (quasi-triangular) 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]
  • Gauss-Seidel 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 ill-conditioning 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 coupled-channel ... approach [2-4], a multi-dimensional Schrödinger equation for a two-electron system ... second-order ordinary differential equations which contain potential matrix elements and first-derivative coupling terms ... eigensolutions for such systems of coupled differential equations...
  • HOMPACK90

  • Referenced in 47 articles [sw00412]
  • algorithms – ordinary differential equation based, normal flow, quasi-Newton augmented Jacobian matrix – are provided...
  • PARSEC

  • Referenced in 20 articles [sw22333]
  • computer code that solves the Kohn-Sham equations by expressing electron wave-functions directly ... sparsity of the Hamiltonian matrix, the Kohn-Sham 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...