New Aspects in Interpolation and Completion Theories
New Aspects in Interpolation and Completion Theories

Author: I. Gohberg

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 229

ISBN-13: 3034885628

DOWNLOAD EBOOK

This volume consists of eight papers containing recent advances in interpolation theory for matrix functions and completion theory for matrices and operators. In the first paper, D. Alpay and P. Loubaton, "The tangential trigonometric moment problem on an interval and related topics" a trigonometric moment problem on an interval for matrix valued functions is studied. The realization approach plays an important role in solving this problem. The second paper, M. Bakonyi, V.G. Kaftal, G. Weiss and H.J. Woerdeman, "Max imum entropy and joint norm bounds for operator extensions" is dedicated to a matrix completion problem. In it is considered the problem when only the lower triangular part of the operator entries of a matrix is identified. Completions which have simultaneously a small usual norm and a small Hilbert-Schmidt norm are considered. Bounds for these norms are obtained. The analysis of the maximum entropy extension plays a special role. The paper contains applications to nest algebras and integral operators. The third paper, J .A. Ball, I. Gohberg and M.A. Kaashoek, "Bitangential interpola tion for input-output operators of time varying systems: the discrete time case" contains solutions of time varying interpolation problems. The main attention is focused on the time varying analog of the Nevanlinna-Pick tangential problem in the case where the inter polation conditions appear from two sides. The state space theory of time varying systems play an important role.

Intelligent Computing Theories and Technology
Intelligent Computing Theories and Technology

Author: De-Shuang Huang

Publisher: Springer

Published: 2013-07-23

Total Pages: 715

ISBN-13: 3642394825

DOWNLOAD EBOOK

This book constitutes the refereed proceedings of the 9th International Conference on Intelligent Computing, ICIC 2013, held in Nanning, China, in July 2013. The 79 revised full papers presented were carefully reviewed and selected from 561 submissions. The papers are organized in topical sections on systems biology and computational biology; cognitive science and computational neuroscience; knowledge discovery and data mining; machine learning theory and methods; biomedical informatics theory and methods; complex systems theory and methods; natural language processing and computational linguistics; fuzzy theory and models; fuzzy systems and soft computing; particle swarm optimization and niche technology; swarm intelligence and optimization; unsupervised and reinforcement learning; intelligent computing in bioinformatics; intelligent computing in Petri nets/transportation systems; intelligent computing in social networking; intelligent computing in network software/hardware; intelligent control and automation; intelligent data fusion and information security; intelligent sensor networks; intelligent fault diagnosis; intelligent computing in signal processing; intelligent computing in pattern recognition; intelligent computing in biometrics recognition; intelligent computing in image processing; intelligent computing in computer vision; special session on biometrics system and security for intelligent computing; special session on bio-inspired computing and applications; special session on intelligent computing and personalized assisted living; computer human interaction using multiple visual cues and intelligent computing; and special session on protein and gene bioinformatics: analysis, algorithms and applications.