Numerical linear algebra, digital signal processing, and parallel algorithms are three disciplines with a great deal of activity in the last few years. The interaction between them has been growing to a level that merits an Advanced Study Institute dedicated to the three areas together. This volume gives an account of the main results in this interdisciplinary field. The following topics emerged as major themes of the meeting: - Singular value and eigenvalue decompositions, including applications, - Toeplitz matrices, including special algorithms and architectures, - Recursive least squares in linear algebra, digital signal processing and control, - Updating and downdating techniques in linear algebra and signal processing, - Stability and sensitivity analysis of special recursive least squares problems, - Special architectures for linear algebra and signal processing. This book contains tutorials on these topics given by leading scientists in each of the three areas. A consider- able number of new research results are presented in contributed papers. The tutorials and papers will be of value to anyone interested in the three disciplines.from aphysical constraintsa in various areas such as classical circuit theory, inverse scattering theory, wave digital filter ... real functions in terms of their Maclaurin coefficients are very important questions, both in theory and in applications.

Title | : | Numerical Linear Algebra, Digital Signal Processing and Parallel Algorithms |

Author | : | Gene H. Golub, Paul Van Dooren |

Publisher | : | Springer Science & Business Media - 2012-12-06 |

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