Scientific Computing: Proceedings of the Workshop, 10 - 12 March 1997, Hong KongGene H. Golub, Lui Shui-Hong, T. Luk Franklin, Robert J. Plemmons 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. |
Contents
II | 3 |
III | 27 |
IV | 40 |
V | 49 |
VI | 58 |
VII | 73 |
VIII | 86 |
IX | 101 |
XIX | 209 |
XX | 216 |
XXI | 223 |
XXII | 230 |
XXIII | 236 |
XXIV | 243 |
XXV | 250 |
XXVI | 258 |
X | 110 |
XI | 148 |
XII | 159 |
XIII | 166 |
XIV | 173 |
XV | 180 |
XVI | 188 |
XVII | 195 |
XVIII | 202 |
XXVII | 265 |
XXVIII | 273 |
XXIX | 280 |
XXX | 287 |
XXXI | 295 |
XXXII | 302 |
XXXIII | 309 |
Common terms and phrases
analysis applied approximation backward perturbation blind deconvolution block blurred boundary Cholesky factorization coefficients computed constraints convergence convolution corresponding Cyclic Reduction decomposition defined denote diagonal discrete edge detection efficient eigenvalues eigenvectors equations error estimate example filter finite element frequency Gaussian Gaussian elimination grid Hankel matrix heuristic Hong Kong IEEE image processing integral interface inverse iteration Jacobi method Jacobi rotation Lanczos Lanczos algorithm least squares problems light curves linear least squares linear systems Math Mathematics nodes noise nonlinear nonnegativity norm NSR-RIF numerical experiments O(n² OBPB obtain operator optimal orthogonal parallel PCG(Cos perturbation bounds point spread function polynomials preconditioned preconditioner quadrature rule Radon transform rank-1 lattice reconstruction residual restarting Rnxn scheme SIAM signal slipline smoothing solution solve solvers star light curves structure symmetric techniques texture Theorem tion Toeplitz TPABLO tridiagonal values Vandermonde vector Walsh functions wavelet transform zero