
CSparse
 Referenced in 127 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 144 articles
[sw08341]
 iterative (preconditioned Krylov) methods instead of direct methods for these linear systems. The most recent...

fminsearch
 Referenced in 175 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...

LSODE
 Referenced in 116 articles
[sw04374]
 systems that arise are solved by direct methods (LU factor/solve). LSODE supersedes the older GEAR...

SLIC
 Referenced in 114 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...

SDPT3
 Referenced in 479 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...

tn
 Referenced in 105 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 540 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 73 articles
[sw14347]
 search optimization routines implement the alternating directions method, the multidirectional search method and the Nelder...

lobpcg.m
 Referenced in 87 articles
[sw24008]
 generalization of the LOBPCG method. Finally, direct numerical comparisons with the JacobiDavidson method show...

CONMIN
 Referenced in 50 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...

YSMP
 Referenced in 55 articles
[sw17947]
 sparse. The current release features direct methods based on Gaussian elimination without pivoting...

PROST
 Referenced in 124 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...

BILUM
 Referenced in 47 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 39 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...

Isar
 Referenced in 115 articles
[sw04599]
 range of automated proof methods. Interactive proof development is supported directly as well. The Isabelle...

BoomerAMG
 Referenced in 112 articles
[sw00086]
 efficacy of the method. Finally, we indicate the current directions of the research...

COBYLA2
 Referenced in 34 articles
[sw05136]
 variables (some hundred at most). An SLP method with estimation of gradients by linear interpolation ... only. M. Powell’s paper on Direct Search Methods...

ILUT
 Referenced in 115 articles
[sw08734]
 class of methods consists of techniques derived from modifications of a given direct solver...

TRON
 Referenced in 96 articles
[sw04714]
 conjugate gradient method with an incomplete Cholesky factorization to generate a direction, and a projected...