• quadeig

  • Referenced in 30 articles [sw11532]
  • right and left eigenvectors of dense quadratic matrix polynomials. It incorporates scaling of the problem ... linearization with favorable conditioning and backward stability properties, and a preprocessing step that reveals ... coefficients. The algorithm is backward-stable for quadratics that are not too heavily damped. Numerical ... MATLAB function polyeig in terms of both stability and efficiency...
  • IRKC

  • Referenced in 18 articles [sw00452]
  • impose a stability constraint associated with the diffusion terms that is quadratic in the number...
  • na12

  • Referenced in 28 articles [sw11490]
  • Meini, 1996), provides a numerically stable, quadratically convergent method for solving the matrix equation ... lower computational cost and a higher numerical stability. Numerical results and comparisons are provided...
  • Exshall

  • Referenced in 5 articles [sw31906]
  • efficiency and stability of T–Z scheme and the quadratic constraint restoration method which...
  • FBstab

  • Referenced in 1 article [sw33418]
  • FBstab: a proximally stabilized semismooth algorithm for convex quadratic programming. This paper introduces the proximally ... stabilized Fischer-Burmeister method (FBstab); a new algorithm for convex quadratic programming that synergistically combines...
  • QPSchur

  • Referenced in 16 articles [sw06918]
  • dual-feasible Schur-complement method for quadratic programming (QP) with positive definite Hessians. The formulation ... refinement helps to dramatically improve the numerical stability of this Schur complement algorithm ... predictive control (MPC) and reduced-space successive quadratic programming (with several different representations...
  • CholQR

  • Referenced in 9 articles [sw13049]
  • Unfortunately, the orthogonality error of CholQR depends quadratically on the condition number of the input ... matrix is ill-conditioned. To enhance the stability of CholQR, we recently used mixed-precision...
  • MISQPOA

  • Referenced in 1 article [sw07024]
  • problems by the modified sequential quadratic programming code MISQP stabilized by an outer approximation master...
  • IQC

  • Referenced in 8 articles [sw21941]
  • efficient analysis approaches are desirable. Robust stability and performance analysis have been active topics ... implicitly, based on a concept called ”Integral Quadratic Constraint” (IQC). In this paper, we consider...
  • FDRC toolbox

  • Referenced in 1 article [sw15241]
  • loopshaping with stability and performance constraints and uses essentially linear and quadratic programming (some cases...
  • IBCN

  • Referenced in 3 articles [sw03452]
  • more powerful methods that improve computation speed, stability and ease of implementation are produced. More ... obtainable through a variant of the (locally quadratically convergent) Newton method. For this method, easily...
  • Levenberg-Marquardt

  • Referenced in 0 articles [sw05284]
  • Newton method (that is, using a quadratic model to speed up the process of finding ... function). This algorithm obtained its operating stability from the steepest descent method, and adopted...
  • Algorithm 954

  • Referenced in 2 articles [sw20214]
  • roots and is very useful in stabilizing the root finding process. The cubic solver ... imaginary parts follow by solving suitable quadratics...
  • BQPD

  • Referenced in 1 article [sw06198]
  • code solves quadratic programming (minimization of a quadratic function subject to linear constraints) and linear ... near-zero pivots is used to promote stability. The matrix algebra is implemented so that...
  • ADOL-C

  • Referenced in 225 articles [sw00019]
  • ADOL-C: Automatic Differentiation of C/C++. We present...
  • ANSYS

  • Referenced in 650 articles [sw00044]
  • ANSYS offers a comprehensive software suite that spans...
  • ARMS

  • Referenced in 63 articles [sw00048]
  • ARMS: an algebraic recursive multilevel solver for general...
  • ATLAS

  • Referenced in 195 articles [sw00056]
  • This paper describes the Automatically Tuned Linear Algebra...
  • AXIOM

  • Referenced in 170 articles [sw00063]
  • Axiom is a general purpose Computer Algebra system...