Newton methodlocal error boundquadratic convergenceALGORITHMSYSTEMSPOINTWe consider the weighted linear complementarity problem (denoted by wLCP). Many numerical algorithms have been proposed for solving the monotone wLCP. In this paper, we propose a damped Gauss鈥揘ewton method to solve the non-...
The damped Gauss-Newton (dGN) algorithm for CANDECOMP/PARAFAC (CP) decomposition can handle the challenges of collinearity of factors and different magnitudes of factors; nevertheless, for factorization of an $N$-D tensor of size $I_1\times I_N$ with rank $R$, the algorithm is computationally...
function [x,count] = GaussNewton1(F,J,x,tolerans) hnorm = 1; count = 0; L = 10 L = L^0.5; n = size(x) m = zeros(n,1) I = eye(n,n) I = I*L while (hnorm > tolerans && count<100) h = J(x)\F(x); hnorm = norm(h, inf); ...
The Levenberg–Marquardt (LM) Algorithm is used to solve nonlinearleast squares problems. Thiscurve-fitting methodis a combination of two other methods: the gradient descent and theGauss-Newton. Both the Gradient Descent and Gauss-Newton methods areiterative algorithms,which means they use a series ...
Finite element method Lumped mass method Damping Viscoelasticity Band structure Transmissibility 1. Introduction Phononic crystals (PnCs) are architected materials where band gaps (BGs)—i.e., ranges of mechanical wave frequencies whose propagation is forbidden—are caused by the periodicity of scatterers...
damped Gauss-Newton methodglobal convergencenumerical resultsThe extended linear complementarity problem (denoted by XLCP), of which the linear and horizontal linear complementarity problems are two special cases, can be reformulated as the solution of a nonsmooth system of equations. By the ...
One algorithm occasionally utilized to solve such problems is CP-OPT-DGN, a damped Gauss-Newton all-at-once optimization method for CP tensor decomposition. However, there are currently no published results that consider the decomposition of large-scale (with up to billions of non-zeros), sparse...
Pan, S.H., Chen, J.-S.: A damped Gauss-Newton method for the second-order cone complementarity problem. Appl. Math. Optim. 59 , 293–318 (2009) MATH MathSciNetPan, S., Chen, J.-S.: A damped Gauss–Newton method for the second-order cone complementarity problem. Appl. Math. ...
Ma C F,Jiang L H,Wang D S.The convergence of a smoothing damped Gauss-Newton method for nonlinear complementarity problem. Nonlinear Analysis:Real World Applications . 2009C.F. Ma, L.H. Jiang, D.S. Wang, The convergence of a smoothing damped Gauss-Newton method for nonlinear ...
The damped Gauss--Newton (dGN) algorithm for CANDECOMP/PARAFAC (CP) decomposition can handle the challenges of collinearity of factors and different magnitudes of factors; nevertheless, for factorization of an order-N tensor of size I1 x ... x IN with rank R, the algorithm is computationally...