Minimal norm constrained interpolation
Author | : Larry Dean Irvine |
Publisher | : |
Total Pages | : 102 |
Release | : 1985 |
Genre | : Interpolation |
ISBN | : |
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Author | : Larry Dean Irvine |
Publisher | : |
Total Pages | : 102 |
Release | : 1985 |
Genre | : Interpolation |
ISBN | : |
Author | : Larry Dean Irvine |
Publisher | : |
Total Pages | : 114 |
Release | : 1985 |
Genre | : Interpolation |
ISBN | : |
We display examples of such interpolants as well as convergence results obtained by using Newton's method. We list a FORTRAN program to compute these shape-preserving interpolants. Next we consider the problem of computing the interpolant of minimal norm from a convex cone in a normed dual space. This is an extension of de Boor's work on minimal norm unconstrained interpolation.
Author | : William Alan Scales |
Publisher | : |
Total Pages | : 304 |
Release | : 1982 |
Genre | : Functions, Meromorphic |
ISBN | : |
Author | : S.W. Fisher |
Publisher | : Springer |
Total Pages | : 216 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 3540375996 |
Author | : |
Publisher | : |
Total Pages | : 956 |
Release | : 1987 |
Genre | : Aeronautics |
ISBN | : |
Author | : C. Foias |
Publisher | : Birkhäuser |
Total Pages | : 587 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034887914 |
This book presents a unified approach for solving both stationary and nonstationary interpolation problems, in finite or infinite dimensions, based on the commutant lifting theorem from operator theory and the state space method from mathematical system theory. Initially the authors planned a number of papers treating nonstationary interpolation problems of Nevanlinna-Pick and Nehari type by reducing these nonstationary problems to stationary ones for operator-valued functions with operator arguments and using classical commutant lifting techniques. This reduction method required us to review and further develop the classical results for the stationary problems in this more general framework. Here the system theory turned out to be very useful for setting up the problems and for providing natural state space formulas for describing the solutions. In this way our work involved us in a much wider program than original planned. The final results of our efforts are presented here. The financial support in 1994 from the "NWO-stimulansprogramma" for the Thomas Stieltjes Institute for Mathematics in the Netherlands enabled us to start the research which lead to the present book. We also gratefully acknowledge the support from our home institutions: Indiana University at Bloomington, Purdue University at West Lafayette, Tel-Aviv University, and the Vrije Universiteit at Amsterdam. We warmly thank Dr. A.L. Sakhnovich for his carefully reading of a large part of the manuscript. Finally, Sharon Wise prepared very efficiently and with great care the troff file of this manuscript; we are grateful for her excellent typing.
Author | : International Business Machines Corporation. Research Division |
Publisher | : |
Total Pages | : 9 |
Release | : 1986 |
Genre | : |
ISBN | : |
Author | : Johan A.K. Suykens |
Publisher | : Springer Science & Business Media |
Total Pages | : 265 |
Release | : 2012-12-06 |
Genre | : Technology & Engineering |
ISBN | : 1461557038 |
Nonlinear Modeling: Advanced Black-Box Techniques discusses methods on Neural nets and related model structures for nonlinear system identification; Enhanced multi-stream Kalman filter training for recurrent networks; The support vector method of function estimation; Parametric density estimation for the classification of acoustic feature vectors in speech recognition; Wavelet-based modeling of nonlinear systems; Nonlinear identification based on fuzzy models; Statistical learning in control and matrix theory; Nonlinear time-series analysis. It also contains the results of the K.U. Leuven time series prediction competition, held within the framework of an international workshop at the K.U. Leuven, Belgium in July 1998.
Author | : Frank R. Deutsch |
Publisher | : Springer Science & Business Media |
Total Pages | : 344 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1468492985 |
This is the first systematic study of best approximation theory in inner product spaces and, in particular, in Hilbert space. Geometric considerations play a prominent role in developing and understanding the theory. The only prerequisites for reading the book is some knowledge of advanced calculus and linear algebra.
Author | : Gengsheng Lawrence Zeng |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 288 |
Release | : 2023-07-04 |
Genre | : Science |
ISBN | : 311105540X |
This textbook introduces the essential concepts of tomography in the field of medical imaging. The medical imaging modalities include x-ray CT (computed tomography), PET (positron emission tomography), SPECT (single photon emission tomography) and MRI. In these modalities, the measurements are not in the image domain and the conversion from the measurements to the images is referred to as the image reconstruction. The work covers various image reconstruction methods, ranging from the classic analytical inversion methods to the optimization-based iterative image reconstruction methods. As machine learning methods have lately exhibited astonishing potentials in various areas including medical imaging the author devotes one chapter to applications of machine learning in image reconstruction. Based on college level in mathematics, physics, and engineering the textbook supports students in understanding the concepts. It is an essential reference for graduate students and engineers with electrical engineering and biomedical background due to its didactical structure and the balanced combination of methodologies and applications,