• RegularChains

  • Referenced in 81 articles [sw00796]
  • zero-divisors and parameters. This permits triangular decomposition of polynomial equations...
  • LINPACK

  • Referenced in 520 articles [sw04209]
  • triangular, and tridiagonal square. In addition, the package computes the QR and singular value decompositions...
  • SuperLU

  • Referenced in 195 articles [sw00930]
  • will perform an LU decomposition with partial pivoting and triangular system solves through forward...
  • SuperLU-DIST

  • Referenced in 90 articles [sw00002]
  • will perform an LU decomposition with partial pivoting and triangular system solves through forward...
  • modpn

  • Referenced in 15 articles [sw06759]
  • arithmetic operations into Maple, focusing on triangular decomposition algorithms. We show substantial improvements over existing...
  • AS 6

  • Referenced in 8 articles [sw03860]
  • Algorithm AS 6. Triangular decomposition of a symmetric matrix...
  • PLTMG

  • Referenced in 215 articles [sw00717]
  • based on a family of continuous Lagrange triangular finite elements. PLTMG features options for adaptive ... parallel adaptive meshing paradigm and corresponding domain decomposition solver are also provided. PLTMG is provided...
  • ILUPACK

  • Referenced in 26 articles [sw10477]
  • incomplete LU decompositions that control the growth of the inverse triangular factors...
  • CylindricalAlgebraicDecompose

  • Referenced in 4 articles [sw32798]
  • decomposition in the RegularChains library. Cylindrical algebraic decomposition (CAD) is a fundamental tool in computational ... RegularChains library is based on triangular decomposition of polynomial systems and real root isolation...
  • Epsilon

  • Referenced in 44 articles [sw00244]
  • Maple and Java for polynomial elimination and decomposition with (geometric) applications. It has 8 modules ... than 70 functions, which allow one to triangularize systems of multivariate (differential) polynomials, decompose polynomial...
  • RealComprehensiveTriangularize

  • Referenced in 1 article [sw32920]
  • concept of comprehensive triangular decomposition of parametric semi-algebraic systems (RCTD for short) was introduced ... finite family of triangular systems. Such a decomposition permits to easily count the number...
  • TDDS

  • Referenced in 7 articles [sw31513]
  • computes a decomposition of it into a finite set of differentially triangular and algebraically simple ... numerically. The distinctive property of a Thomas decomposition is disjointness of the solution sets...
  • LIFT

  • Referenced in 3 articles [sw25813]
  • LIFT: A nested decomposition algorithm for solving lower block triangular linear programs. The lower block ... triangular structure is typical of time phased linear programs with multiple lags in the variables ... class of problems based on the nested decomposition algorithm...
  • TAUCS

  • Referenced in 32 articles [sw04014]
  • symmetric orderings. Matrix Operations. Matrix-vector multiplication, triangular solvers, matrix reordering. Matrix Input/Output. Routines ... Multilevel-Support-Graph Preconditioners. Similar to domain-decomposition preconditioners. Includes the Gremban-Miller preconditioners. Utility...
  • Algorithm 872

  • Referenced in 5 articles [sw12991]
  • method for the construction of guaranteed quality triangular and tetrahedral meshes. We present an algorithm ... dimensions. Our approach is based on the decomposition of the original mesh generation problem into...
  • randUTV

  • Referenced in 4 articles [sw30518]
  • have orthonormal columns, and T is triangular (either upper or lower, whichever is preferred ... algorithms for computing the Singular Value Decomposition (SVD). randUTV provides accuracy very close to that...
  • FACTORIZE

  • Referenced in 5 articles [sw10039]
  • complete orthogonal decomposition for rank-deficient matrices) is hidden from the user. The mathematical expression ... factorizing A and solving the corresponding triangular systems...
  • ManiSolve

  • Referenced in 1 article [sw34623]
  • Jacobian is in bordered block lower triangular form with small diagonal blocks and with small ... performed fully automatically with off-the-shelf decomposition methods. Five decades of numerical experience show...
  • QR Decomposition

  • Referenced in 1 article [sw28565]
  • decomposition is an algorithm to decompose a real matrix A into the product ... orthogonal and R is invertible and upper triangular. The algorithm is useful for the least...
  • ALPS

  • Referenced in 17 articles [sw00036]
  • This paper describes the design of the Abstract...