
CSparse
 Referenced in 237 articles
[sw20382]
 Direct methods for sparse linear systems. Computational scientists often encounter problems requiring the solution ... MATLAB and the C programming language, Direct Methods for Sparse Linear Systems equips readers with...

ODEPACK
 Referenced in 200 articles
[sw08341]
 iterative (preconditioned Krylov) methods instead of direct methods for these linear systems. The most recent...

fminsearch
 Referenced in 271 articles
[sw07467]
 Convergence properties of the NelderMead simplex method in low dimensions The NelderMead simplex ... enormously popular direct search method for multidimensional unconstrained minimization. Despite its widespread use, essentially...

SLIC
 Referenced in 161 articles
[sw18282]
 Interface Calculation). SLIC is an alternatingdirection method for the geometric approximation of fluid interfaces ... space dimensional components, one for each coordinate direction. (2) These onedimensional components are composed entirely ... right in the coordinate direction under consideration. (4) Because of the completely onedimensional nature ... possible to incorporate any one space dimensional method for advancing contact discontinuities. This makes SLIC...

Proteus
 Referenced in 106 articles
[sw41563]
 Proteus: A direct forcing method in the simulations of particulate flows. A new and efficient ... direct numerical method for the simulation of particulate flows is introduced. The method combines desired ... elements of the immersed boundary method, the direct forcing method and the lattice Boltzmann method ... used in the conventional LBM, the directforcing method provides a smoother computational boundary...

LSODE
 Referenced in 135 articles
[sw04374]
 systems that arise are solved by direct methods (LU factor/solve). LSODE supersedes the older GEAR...

SDPT3
 Referenced in 697 articles
[sw04009]
 pathfollowing method, with either the HKM or the NT search direction. The basic code ... semideﬁnite cones are calculated via the Lanczos method. Numerical experiments show that this general purpose...

lobpcg.m
 Referenced in 145 articles
[sw24008]
 generalization of the LOBPCG method. Finally, direct numerical comparisons with the JacobiDavidson method show...

tn
 Referenced in 140 articles
[sw05140]
 exploited to define a modified Newton method which can be applied to problems that ... possible to compute a negativecurvature direction at a stationary point. The above mentioned modified ... preconditioned truncated Newton method is described that defines a search direction which interpolates between ... nonlinear conjugategradienttype method and a modified Newton direction. Numerical results are given which...

KELLEY
 Referenced in 631 articles
[sw04829]
 author and his group. Implicit filtering methods use finite difference approximations of the gradient, which ... noise level in the function. Direct search algorithms, including the NelderMead, multidirectional search ... conclude with a numerical demonstration of the methods discussed in the respective chapter, and with...

testmatrix
 Referenced in 81 articles
[sw14347]
 search optimization routines implement the alternating directions method, the multidirectional search method and the Nelder...

SDPNAL+
 Referenced in 53 articles
[sw13239]
 with a convergent 3block alternating direction method of multipliers introduced recently ... methods based codes: (1) an alternating direction method of multipliers based solver called SDPAD...

YSMP
 Referenced in 73 articles
[sw17947]
 sparse. The current release features direct methods based on Gaussian elimination without pivoting...

SCS
 Referenced in 47 articles
[sw16632]
 operator splitting method, the alternating directions method of multipliers, to solve the homogeneous selfdual ... method in detail, including direct and indirect methods for computing projection onto the subspace, scaling...

PROST
 Referenced in 167 articles
[sw12822]
 Volumeoffluid (VOF) methods are popular for the direct numerical simulation of timedependent ... multiple liquids. As in any numerical method, however, it has its weaknesses, namely, for flows...

CONMIN
 Referenced in 51 articles
[sw04741]
 basic optimization algorithm is the Method of Feasible Directions. The user must provide a main ... also be solved, and the conjugate direction method of Fletcher and Reeves is used...

BoomerAMG
 Referenced in 196 articles
[sw00086]
 efficacy of the method. Finally, we indicate the current directions of the research...

BADMM
 Referenced in 36 articles
[sw20288]
 Bregman Alternating Direction Method of Multipliers. The mirror descent algorithm (MDA) generalizes gradient descent ... paper, we similarly generalize the alternating direction method of multipliers (ADMM) to Bregman ADMM (BADMM...

BILUM
 Referenced in 50 articles
[sw04015]
 those of gridindependent convergence of multigrid methods. The multilevel algorithms implemented by BILUM ... enough to be solved by a direct method or a preconditioned iterative method...

PDE2D
 Referenced in 49 articles
[sw04270]
 practical steps involved in implementing the methods, culminating in readers learning how to write programs ... book begins with a review of direct methods for the solution of linear systems, with...