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Titlebook: Optimization and Regularization for Computational Inverse Problems and Applications; Yanfei Wang,Changchun Yang,Anatoly G. Yagola Book 201

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發(fā)表于 2025-3-25 06:57:48 | 只看該作者
22#
發(fā)表于 2025-3-25 10:03:45 | 只看該作者
Modified Regularization Scheme with Application in Reconstructing Neumann-Dirichlet Mappingproximately. The advantage of our method is that we just use the information about the error level instead of assuming the reliable bounds of the unknown solution. The algorithms are presented and the numerical simulation results show the efficiency of our method. As an application, we discuss the p
23#
發(fā)表于 2025-3-25 13:11:27 | 只看該作者
Gradient Methods for Large Scale Convex Quadratic Functionsble for large scale problems. Different step-lengths give different gradient algorithms. In 1988, Barzilai and Borwein gave two interesting choices for the step-length and established superlinearly convergence results for two-dimensional convex quadratic problems. Barzilai and Borwein’s work trigger
24#
發(fā)表于 2025-3-25 18:43:42 | 只看該作者
Convergence Analysis of Nonlinear Conjugate Gradient Methods general conjugate gradient method using the Wolfe line search and propose a condition on the scalar β., which is sufficient for the global convergence. An example is constructed, showing that the condition is also necessary in some sense for the global convergence of general conjugate gradient meth
25#
發(fā)表于 2025-3-25 21:48:19 | 只看該作者
Full Space and Subspace Methods for Large Scale Image Restoration the degradation which is caused by sensing environment, say CCD camera misfocus, nonuniform motion, atmospheric aerosols and atmospheric turbulence. For image restoration problems, a key matter is to solve a quadratic programming problem. We study numerical solution methods in full space by limited
26#
發(fā)表于 2025-3-26 03:11:42 | 只看該作者
Some Reconstruction Methods for Inverse Scattering Problemsetect the physical properties of an obstacle from some information related to the scattered waves of the obstacle for given incident wave. Generally, if the incident plane waves are given from the finite number of directions, which are indeed the practical situations, there is no uniqueness for reco
27#
發(fā)表于 2025-3-26 07:20:31 | 只看該作者
28#
發(fā)表于 2025-3-26 11:34:49 | 只看該作者
Numerical Inversion Methods in Geoscience and Quantitative Remote Sensinge way to deal with these problems. Since the real physical system that couples the atmosphere with the land surface is very complicated and should be continuous, sometimes it requires comprehensive parameters to describe such a system, so any practical physical model can only be approximated by a mo
29#
發(fā)表于 2025-3-26 13:27:07 | 只看該作者
30#
發(fā)表于 2025-3-26 19:42:14 | 只看該作者
Tikhonov Regularization for Gravitational Lensing Researchs are needed to extract that valuable information from observations. In this chapter, two inverse problems arising in gravitational lensing research are considered. Both problems are ill-posed, so regularization is needed. The first problem is the one of image reconstruction. Based on the Tikhonov r
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