Download or read book Methods of Intermediate Problems for Eigenvalues Theory and Ramifications written by A. Weinstein and published by Elsevier. This book was released on 1972-06-23 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering
Download or read book Intermediate Problems for Eigenvalues written by Alexander Weinstein and published by . This book was released on 1972 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quantum Mathematical Physics written by Walter Thirring and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a new edition of Volumes 3 and 4 of Walter Thirring’s famous textbook on mathematical physics. The first part is devoted to quantum mechanics and especially to its applications to scattering theory, atoms and molecules. The second part deals with quantum statistical mechanics examining fundamental concepts like entropy, ergodicity and thermodynamic functions.
Download or read book Spectral Theory and Geometry written by E. Brian Davies and published by Cambridge University Press. This book was released on 1999-09-30 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authoritative lectures from world experts on spectral theory and geometry.
Download or read book Principles of Combinatorics written by Berge and published by Academic Press. This book was released on 1971-04-20 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: Berge's Principles of Combinatorics is now an acknowledged classic work of the field. Complementary to his previous books, Berge's introduction deals largely with enumeration. The choice of topics is balanced, the presentation elegant, and the text can be followed by anyone with an interest in the subject with only a little algebra required as a background. Some topics were here described for the first time, including Robinston-Shensted theorum, the Eden-Schutzenberger theorum, and facts connecting Young diagrams, trees, and the symmetric group.
Download or read book Transversal Theory written by L. Mirsky and published by Academic Press. This book was released on 1971-04-20 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transversal Theory
Download or read book Integer Programming written by and published by Academic Press. This book was released on 1971-05-14 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering
Download or read book System Identification written by James L Melsa and published by Academic Press. This book was released on 1971-06-26 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: System Identification
Download or read book General Dynamical Processes A Mathematical Introduction written by and published by Academic Press. This book was released on 1971-05-31 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering
Download or read book Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems written by Karl-Heinz Förster and published by Springer Science & Business Media. This book was released on 2006-03-16 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a collection of recent original research papers in operator theory in Krein spaces, on generalized Nevanlinna functions, which are closely connected with this theory, and on nonlinear eigenvalue problems. Key topics include: spectral theory for normal operators; perturbation theory for self-adjoint operators in Krein spaces; and, models for generalized Nevanlinna functions.
Download or read book Many Body Methods in Quantum Chemistry written by Uzi Kaldor and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume contains the text of the invited lectures presented at the Symposium on Many Body Methods in Quantum Chemistry, held on the campus of Tel Aviv University in August 1988. The Symposium was a satellite meeting of the Sixth International Congress on Quantum Chemistry held in Jerusalem. The development and application of many-body methods in Quantum chemistry have been on the rise for a number of years. This is therefore a good time for an interim report on the state of the field. It is hoped that such a report is hereby provided, though it may not be complete. The Symposium was held under the auspices of Tel Aviv University, Raymond and Beverly Sackler Faculty of Exact Sciences, School of Chemistry. Other sponsors were the Israeli Academy of Sciences and Humanities, and the Israeli Ministry of Science and Development. Many thanks go to all of them. Finally, I would like to thank all the speakers and participants for making the meeting the enjoyable and (I hope) profitable experience it was. Tel Aviv, Israel Uzi Kaldor TESTS AND APPLICATIONS OF COMPLETE MODEL SPACE QUASIDEGENERATE MANY-BODY PERTURBATION THEORY FOR MOLECULES Karl F. Freed The James Franck Institute and Department of Chemistry The University of Chicago, Chicago, DUnois 60637 U.S.A.
Download or read book SIAM Journal on Numerical Analysis written by and published by . This book was released on 1975 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains research articles on the development and analysis of numerical methods, including their convergence, stability, and error analysis as well as related results in functional analysis and approximation theory. Computational experiments and new types of numerical applications are also included.
Download or read book Topics in Validated Computations written by Jürgen Herzberger and published by Elsevier Publishing Company. This book was released on 1994 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides the interval analysis community with surveys of important recent developments in the creation of validated numerical algorithms. In addition, the publication informs the numerical analysts and appliers of numerical software about the enormous variety of problem-solving algorithms now available, even for sophisticated problems which were beyond reach at the beginning of research some two decades ago. Contributions are sourced from a variety of international experts and together these form a textbook collection of 14 non-overlapping multidisciplinary sections. in interval arithmetic, whilst the concluding chapter offers instructions on how to implement interval algorithms. Other problem areas addressed in the bulk of the volume include: systems of nonlinear equations, simultaneous methods for polynomial zeros, linear systems, matrix inversion, matrix eigenvalue problems, eigenvalues of selfadjoint problems, ODE's, PDE's, optimization, problems in engineering, and complexity considerations in linear interval problems.
Download or read book Mathematica Japonicae written by and published by . This book was released on 1974 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book STUDIES IN EIGENVALUE THEORY written by Alexander Weinstein and published by . This book was released on 1968 with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: It was shown on a simple buckling problem that the method of Lagrangian multipliers, which was asssumed to be a simplification of the method of intermediate problems, actually yields incorrect numerical results. On the other hand, the method of intermediate problems provides simple and clear rules which are both mathematically rigorous and computationally feasible. A thorough study was made into the theoretical ramifications of intermediate problems. This investigation established the fact that intermediate problems, in addition to giving reliable lower bounds to eigenvalues, have stimulated research in purely theoretical subjects. Moreover, the contributions of intermediate problems to perturbation theory were clarified. The maximum-minimum and minimum-maximum principles for eigenvalues were extended to a class of unbounded operators of the type appearing in Schrodinger's theory. The properties of projections of selfadjoint operators were investigated which led to some sufficient conditions for such operators to be selfadjoint. Conditions were established between the maximum-minimum and minimum-maximum principles which pointed out their complementary nature as well as some basic differences.
Download or read book Mathematics of Computation written by and published by . This book was released on 1973 with total page 1084 pages. Available in PDF, EPUB and Kindle. Book excerpt: Original articles on all aspects of numerical mathematics, book reviews, mathematical tables, and technical notes. Covers advances in numerical analysis, application of computer methods, high speed calculating, and other aids to computation.
Download or read book Spectral Approximation of Linear Operators written by Francoise Chatelin and published by SIAM. This book was released on 2011-05-26 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: New York: Academic Press, 1983.
