... “Some problems and results in the study of nonlinear analysis,” Nonlinear Analysis: Theory, Methods & Applications, vol 30, no 7, pp 4197–4208, 1997 16 H.-K Xu, “Viscosity approximation methodsfor ... 967–974, 2009 Y Liu, “A general iterative method for equilibrium problems and strict pseudo-contractions in Hilbert spaces,” Nonlinear Analysis: Theory, Methods & Applications, vol 71, no 10, pp 4852–4861, ... pp 455– 469, 2007 S Takahashi and W Takahashi, “Viscosity approximation methodsfor equilibrium problems and fixed point problems in Hilbert spaces,” Journal of Mathematical Analysis and Applications,...
... the direction for n=3 of different numerical methods and the HRR solution Table 3.12 r / distribution along the direction for n=5 of different numerical methods and the HRR solution Table ... direction for n=5 of different numerical methods and the HRR solution Table 3.14 r / distribution along the direction for n=5 of different numerical methods and the xxvii List of tables HRR solution ... the direction for n=9 of different numerical methods and the HRR solution Table 3.16 / distribution along the direction for n=9 of different numerical methods and the HRR solution Table...
... methodsfor generalized equilibrium problems and fixed point problems with applications,” Nonlinear Analysis: Theory, Methods & Applications, vol 72, no 1, pp 99–112, 2010 13 W Takahashi, Nonlinear ... Suantai, “A new mapping for finding common solutions of equilibrium problems and fixed point problems of finite family of nonexpansive mappings,” Nonlinear Analysis: Theory, Methods & Applications, ... n,j n,j 27 n,j α2 α3 and < η1 ≤ α1 ≤ θ1 < for all n ∈ N, for all j 1, 2, , N − 1, < ηN ≤ α1 n,j n,j n,N α1 ≤ and ≤ α2 , α3 ≤ θ3 < for all n ∈ N, for all j 1, 2, , N Let {xn }, {un }, {vn...
... and put ξ1 := Fully parallel methodsforlinear PDAEs In this section we study the numerical solution of the following initial boundary value problems (IBVPs) forlinear PDAEs: Aut + B∆u = f (x, ... Method for the Solution of Linear Parabolic Problems, Applied Mathematics Research Express No (2005) 117 [5] R.D da Cunha, T.R Hopkins, Parallel Over Relaxation Algorithms for Systems of Linear ... m+1,k + (1 − )v m d (18) Note that the linear systems (17) can be solved by any parallel iterative methods [5,6,7,8,9] Now we turn to the BVP (12)-(13) For its solution we implement the parallel...
... 2.1 2.2 2.3 Problemsfor Equations Problemsfor Equations of Hyperbolic Type Inverse problemsfor x-hyperbolic systems Inverse problemsfor t-hyperbolic systems Inverse problemsfor hyperbolic ... 8.2 8.3 Problemsfor Equations of Second Order Cauchy problem for semilinear hyperbolic equations Two-point inverse problemsfor equations of hyperbolic type Two-point inverse problemsfor equations ... and foreign researchers dealt with such problems merely forlinear and semilinear equations In this book the solvability of the preceding problem is revealed for a more general class of quasilinear...
... AND NONLINEAR EQUATIONS 12.1 Formal problems in unconstrained optimisation and nonlinear equations 12.2 Difficulties encountered in the solution of optimisation and nonlinear-equation problems ... nonlinear leastsquares methods 218 218 218 221 19 THE CONJUGATE GRADIENTS METHOD APPLIED TO PROBLEMS IN LINEAR ALGEBRA 19.1 Introduction 19.2 Solution of linear equations and least-squares problems ... reliability over the methodsfor the general linear- equation problem Thirdly, in chapter it will be shown that the formation of AT A can lead to loss of information Techniques exist for the solution of...
... approximation methodsfor equilibrium problems and fixed point problems in Hilbert spaces J Math Anal Appl 331, 506–515 (2006) Su, Y, Shang, M, Qin, X: An iterative method of solutions for equilibrium ... method for finding a common element of the set of solutions of problem (1.2) and the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality problem for ... [d, e] for some 4k d, e Î (0, 2a), and {an}, {bn}, {gn} are three sequences in [0, 1] satisfying the conditions: for every n = 1, 2, where {ln} ⊂ [a, b] for some a, b ∈ (0, (i) an + bn ≤ for all...
... characterizations for the set-valued vector equilibrium problems to have nonempty and bounded solution sets In Section 4, we give an application to the stability of the solution sets for the set-valued ... of solutions for a system of vector equilibrium problems, ” Journal of Optimization Theory and Applications, vol 133, no 2, pp 201–212, 2007 22 I V Konnov and J C Yao, “Existence of solutions for ... the references therein Among many desirable properties of the solution sets for vector equilibrium problems, stability analysis of solution set is of considerable interest see, e.g, 27–33 and...
... pseudocontractions and the solution set of the system of equilibrium problems 1.1 by the hybrid methods We will use the following notations: for the weak convergence and → for the strong convergence, ... hybrid methodsfor equilibrium problems and strict pseudocontractions In this paper, motivated by 5, 8–12 , applying parallel and cyclic algorithms, we obtain strong convergence theorems for finding ... x, x for all x ∈ C; A2 F is monotone, that is, F x, y F y, x ≤ for any x, y ∈ C; A3 for each x, y, z ∈ C, lim supt → F tz − t x, y ≤ F x, y ; A4 F x, · is convex and lower semicontinuous for each...
... for all x ∈ C, for a constant κ > 1; then, T is relaxed μ, ν -cocoercive and Lipschitz continuous Especially, T is ν-strong monotone Proof Since T x κx, for all x ∈ C, we have T : C → C Forfor ... potential function for γf i.e., h x γf x for x ∈ H Journal of Inequalities and Applications For finding a common element of the set of fixed points of nonexpansive mappings and the set of solution of ... a nonexpansive mapping, the set of solutions of the variational inequalities for a relaxed cocoercive mapping, and the set of solutions of the equilibrium problems 2.12 , which solves another...
... 2.2 exists for each x, y ∈ U It is also said to be uniformly smooth if the limit is attained uniformly for x, y ∈ U It is well known that p and Lp < p < ∞ are uniformly convex and uniformly smooth; ... Applications It is obvious that 2.6 holds for N 1, see 34 for more details Next, we assume that 2.6 is true for N − It remains to show that 2.6 holds for N We observe that N i ω xi ω N xN 1−ω ... following conditions: i αn < for all n ∈ N ∪ {0} and lim supn → ∞ αn < 1, ii βn i for all i 1, 2, , N i 1 a lim infn → ∞ βn βn b limn → ∞ βn 1, > for all i and N i i βn for all n ∈ N ∪ {0} If either...
... the solutionmethods discussed in Chapter VII, which also contains an introduction to arc-lengthcontinuation methods (H B Keller) for solving nonlinear boundary-value problems with multiple solutions ... approximation and solutionmethodsfor some important problems in fluid dynamics are discussed, such as transonic flows for compressible inviscid fluids and the Navier-Stokes equations viii Preface for incompressible ... the solution of nonlinear problems involving differential operators Actually this belief is supported by the fact that some of the methods discussed in this book are currently used for the solution...
... qualities for SNV calling, and with read end anomaly (REA) calling (see the ‘Computational methods section for details) In addition to tabular formats, result files were given in formats applicable for ... between the capture methods Of all 2,596 indel positions identified with any one of the methods, 241 were identified by all four methods, 492 by any three methods and 1,130 by any two methods; 119 were ... regions targeted for capture in all the methods (e) for different minimum sequencing coverages In (a, b), allele balances are given for the control I sample (bars without outline) and for the mean...
... Image Processing and Super Resolution Methodsfor a Linear 3D Range Image Scanning Device for Forensic Imaging Major Professor: Mihran Tuceryan In the last few decades, forensic science has played ... http://www.purdue.edu/policies/pages/teach_res_outreach/c_22.html IMAGE PROCESSING AND SUPER RESOLUTION METHODSFOR A LINEAR 3D RANGE IMAGE SCANNING DEVICE FOR FORENSIC IMAGING A Thesis Submitted to the Faculty of Purdue University ... ability for inclusion of knowledge of spatial domain properties for regularization 2.2 Spatial Domain Methods In this class of methods, spatial domain properties are used to formulate the image formation...
... Introduction well-known for a long time The readers are referred to [94] for the implementation of inexact interior-point methodsforlinear SDP The first inexact interior-point method forlinear SDP was ... interiorpoint methods are efficient and robust in solving covariance selection problems, outperforming many existing algorithms List of Tables 4.1 Comparison of the IIPM and ANS methods in solving the problems ... interior-point method for convex quadratic symmetric xi xii Summary cone programming problems and an inexact dual-scaling interior-point method forlinear symmetric cone programming problems Admissible...
... MLE, linear order statistics estimation methods, linear regression estimation methods and others LSE, WLSE and RRE are all related to linear regression techniques and hence this category of methods ... methods is named linear regression estimation methods Table 1-3: Summary of existing parameter estimation methodsfor the Weibull distribution Category Methods Graphical Estimation methods WPP Related ... commonly used methods 1.3.1 Graphical Estimation Methods There are mainly two categories of graphical estimation methodsfor the Weibull distribution: Weibull probability plotting (WPP) methods and...
... ) VU V and IW for NV scheme (a2 ) npf and FFT for NV scheme (b1 ) VU V and IW for SV scheme (b2 ) npf and FFT for SV scheme (c1 ) VU V and IW for NV + SV scheme (c2 ) npf and FFT for NV + SV scheme ... ) VU V and IW for NV scheme (a2 ) npf and FFT for NV scheme (b1 ) VU V and IW for SV scheme (b2 ) npf and FFT for SV scheme (c1 ) VU V and IW for NV + SV scheme (c2 ) npf and FFT for NV + SV scheme ... ) VU V and IW for NV scheme (a2 ) npf and FFT for NV scheme (b1 ) VU V and IW for SV scheme (b2 ) npf and FFT for SV scheme (c1 ) VU V and IW for NV + SV scheme (c2 ) npf and FFT for NV + SV scheme...
... investigate MUSIC methodsfor solving electromagnetic inverse scattering problemsfor point-like scatterers, so as to obtain a better resolution; Second, to investigate methodsfor solving electromagnetic ... inversion methodsfor small scatterers In this chapter, several methodsfor solving the electromagnetic inverse scattering problemsfor point-like scatterers will be introduced All these methods ... equations as our forward problem model for solving the electromagnetic inverse scattering problems, for both point-like scatterers and extended scatterers The method for solving of these two linear equation...
... Meshfree methods based on strong forms In this thesis, the research work is focused on the meshfree methods which are formulated based on Galerkin weak forms Hence strong form meshfree methods ... consequently provides higher accuracy of solutionfor large deformation problems There are two forms of RKPM: the strong form (Aluru, 2000) and the Galerkin weak form (Liu et al., 1995) The moving ... form and strong form The key idea of the MWS method is that both the strong form and local weak form are used for establishing the discretized system equations, but these two forms are used for...