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Scientific Computing : Proceedings of the Workshop, 10 - 12 March 1997, Hong Kong - Gene H. Golub

Scientific Computing

Proceedings of the Workshop, 10 - 12 March 1997, Hong Kong

By: Gene H. Golub (Editor), Lui Shui-Hong (Editor), Robert J. Plemmons (Editor), T. Luk Franklin (Editor)

Paperback Published: 1st June 1998
ISBN: 9789813083608
Number Of Pages: 332

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This book concerns modern methods in scientific computing and linear algebra, relevant to image and signal processing. For these applications, it is important to consider ingredients such as: (1) sophisticated mathematical models of the problems, including a priori knowledge, (2) rigorous mathematical theories to understand the difficulties of solving problems which are ill-posed, and (3) fast algorithms for either real-time or data-massive computations. Such are the topics brought into focus by these proceedings of the Workshop on Scientific Computing (held in Hong Kong on March 10-12, 1997, the sixth in such series of Workshops held in Hong Kong since 1990), where the major themes were on numerical linear algebra, signal processing, and image processing. Readers will benefit from the lectures presented on the recent advances, trends and future directions for research in fast algorithms in scientific computing, written by leading experts in the field from around the world.

Tikhonov Regularization for Large Scale Problemsp. 3
Vandermonde Factorization of a Hankel Matrixp. 27
Numerical Stability of Some Fast Algorithms for Structured Matricesp. 40
On Inhomogeneous Eigenproblems and Pseudospectra of Matricesp. 49
Multigrid for Differential-Convolution Problems Arising from Image Processingp. 58
Cyclic Reduction History and Applicationsp. 73
The Role of Coordinates in Accurate Computation of Discontinuous Flowp. 86
Quadratic Programming for Positive Solutions of Linear Inverse Problemsp. 101
Regularized Blind Deconvolution Using Recursive Inverse Filteringp. 110
On Optimal Backward Perturbation Boundsp. 133
Solution of Linear Systems Arising in Nonlinear Image Deblurringp. 148
Threshold Ordering for Preconditioning Nonsymmetric Problemsp. 159
Efficient and Accurate Parameter Estimation for Linear, Bilinear and Nonlinear Systems Using Walsh Functionsp. 166
3-D Jacobi Rotation Method for Eigenvalue Problems of Matricesp. 173
Perturbation Analyses for the Cholesky Factorization with Backward Rounding Errorsp. 180
An Efficient Finite Element Method for Interface Problemsp. 188
Finite Element Methods Based on Two-Scale Analysisp. 195
Efficient Solution of the Jacobian System in Newton's Method Close to a Rootp. 202
Computing Multivariate Normal Probabilities Using Rank-1 Lattice Sequencesp. 209
Wavelets, Signal Processing and Textile Surfacesp. 216
Size-location patterns of different wavelets in signal processingp. 223
Efficient Image Compression Scheme Using Tree Structure Wavelet Transformsp. 230
Parallel Optimization for TSPp. 236
Numerical Analysis of the Bulging of Continuously Cast Slabsp. 243
On the Bias and Variance of FFT-Based Kernel Density Estimationp. 250
Temporal Data Mining with a Case Study of Astronomical Data Analysisp. 258
A Note on Adaptive Restarting Procedure for Pseudo Residual Algorithmsp. 265
Fixed Point Theorems and Error Bounds for Solutions of Equationsp. 273
Multiscale Edge Detection of Images from Its Radon Transformp. 280
Parallel Block Elimination Algorithm for Generalized Eigen-Problem and It's Applications on Crystal Electronic Structurep. 287
Adaptive Methods for Singular Perturbation Problemsp. 295
Image Reconstruction from Projections Based on Wavelet Decompositionp. 302
Adaptive Image Smoothing Respecting Feature Directionsp. 309
Author Indexp. 317
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9789813083608
ISBN-10: 9813083603
Audience: General
Format: Paperback
Language: English
Number Of Pages: 332
Published: 1st June 1998
Publisher: Springer Verlag, Singapore
Country of Publication: SG
Dimensions (cm): 23.39 x 15.6  x 1.75
Weight (kg): 0.47