
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 backwardstable 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 FischerBurmeister method (FBstab); a new algorithm for convex quadratic programming that synergistically combines...

QPSchur
 Referenced in 16 articles
[sw06918]
 dualfeasible Schurcomplement 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 reducedspace 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 illconditioned. To enhance the stability of CholQR, we recently used mixedprecision...

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...

LevenbergMarquardt
 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 ... nearzero pivots is used to promote stability. The matrix algebra is implemented so that...

ADOLC
 Referenced in 225 articles
[sw00019]
 ADOLC: 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...