• LAPACK

  • Referenced in 1582 articles [sw00503]
  • squares solutions of linear systems of equations, eigenvalue problems, and singular value problems. The associated ... performed by calls to the Basic Linear Algebra Subprograms (BLAS). LAPACK is designed ... matrix multiplication and the solution of triangular systems with multiple right-hand sides. Because...
  • LINPACK

  • Referenced in 510 articles [sw04209]
  • least-squares problems. The package solves linear systems whose matrices are general, banded, symmetric indefinite ... addition, the package computes the QR and singular value decompositions of rectangular matrices and applies...
  • BiCGstab

  • Referenced in 119 articles [sw04022]
  • solution of a system of linear algebraic equations with a non-singular n×n matrix...
  • CLAPACK

  • Referenced in 89 articles [sw03112]
  • including systems of linear equations, linear least squares problems, eigenvalue problems, and singular value problems...
  • PROPACK

  • Referenced in 96 articles [sw04019]
  • functions for computing the singular value decomposition of large and sparse or structured matrices ... basis of efficient algorithms for solving linear systems of equations and linear least squares problems...
  • Seigtool

  • Referenced in 52 articles [sw07021]
  • singular values and pseudospectra play an important role in assessing the properties of a linear ... system under structured perturbations. Structured Eigtool is a free Matlab interface for plotting structured pseudospectra...
  • Isolde

  • Referenced in 28 articles [sw00458]
  • focus on the local analysis of systems of linear differential and difference equations. We illustrate ... matrix solution at a regular or irregular singularity...
  • NAPACK

  • Referenced in 70 articles [sw11666]
  • used to solve linear systems, to estimate the condition number or the norm ... unconstrained minimization, to compute eigenvalues, eigenvectors, the singular value decomposition, or the QR decomposition...
  • MIBPB

  • Referenced in 47 articles [sw08106]
  • function approach to analytically resolve the singular charge distribution in biomolecules in order to obtain ... accelerates the rate of convergence of linear equation systems resulting from the MIBPB by using...
  • MINRES-QLP

  • Referenced in 10 articles [sw11181]
  • Hermitian linear systems or least-squares problems. If the system is singular, MINRES-QLP computes...
  • ParamInt

  • Referenced in 2 articles [sw22465]
  • package for symbolic resolution of singularly-perturbed linear systems of differential equations, prototype implementation...
  • DGMRES

  • Referenced in 12 articles [sw02839]
  • linear systems of the form Ax=b, where A € C^(NxN) is a singular...
  • PANAIR

  • Referenced in 3 articles [sw19888]
  • Generally speaking, a panel method solves a linear partial differential equation numerically by approximating ... panels on which unknown ”singularity strengths” are defined, imposing boundary conditions at a discrete ... thereby generating a system of linear equations relating the unknown singularity strengths. These equations...
  • CULA

  • Referenced in 10 articles [sw12745]
  • decomposition, singular value decomposition and QR decomposition along with applications like system solution and least ... achieve high performance. Some constructs from linear algebra map extremely well...
  • SOLGASMIX

  • Referenced in 1 article [sw03005]
  • difficulties may arise: (i) the linear system becomes singular at some iteration step ... iteration procedure fails to converge, a linear interpolation scheme, based on oscillation of Gibbs energies...
  • PLTMGC

  • Referenced in 17 articles [sw01063]
  • program package for solving nonlinear elliptic systems that have explicit dependence on a scalar parameter ... solve the linear eigenvalue problem, trace solution branches, locate singular points (simple turning points...
  • LSRN

  • Referenced in 19 articles [sw09555]
  • iterative solver for strongly over- or underdetermined systems. We describe a parallel iterative least squares ... linear operator, and LSRN automatically speeds up when A is sparse or a fast linear ... projection, which is embarrassingly parallel, and a singular value decomposition of size ⌈γmin ... prove that the preconditioned system is well-conditioned, with a strong concentration result...
  • Lindalg

  • Referenced in 2 articles [sw22463]
  • Symbolic Resolution of Linear Systems of Differential Equations with Singularities. Developed within Google Summer...
  • POLSYS_GLP

  • Referenced in 9 articles [sw07346]
  • parallel general linear product homotopy code for solving polynomial systems of equations Globally convergent, probability ... finding all the isolated solutions to polynomial systems of equations. After many years of development ... paths that must be tracked and handling singular solutions have made probability-one homotopy methods ... polynomial system structure. GLP structure is intermediate between the partitioned linear product structure used...
  • LFTB

  • Referenced in 3 articles [sw02546]
  • applications in the analysis of uncertain linear systems. The solution to this particular SDP gives ... upper bound for the maximum singular value of a multidimensional rational matrix function, or linear...