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numerical linear ALGORITHMS AND GROUP-theory

linear algebra AND ITS applications 1975年第3期10卷 267-283页

作者： DELLADORA, J UNIV SCI & MED GRENOBLE F-38041 GRENOBLEFRANCE

Most methods for solving linear systems Ax=b are founded on the ability to split up the matrix A in the form of a product A=G·R with G belonging to a subgroup of the general linear group Gl(n,R) and R being a regular upper triangular matrix. In the same way, the calculation of the eigenvalues of a matrix by the use of an algorithm of the Rutishauser type is based on a G·Rdecomposition for the matrix. Our aim in this article will be to show the importance of the notion of splitting up, to set out the conditions under which it may be used and to show how it enables us to generate new algorithms.

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numerical solution of systems of nonlinear algebraic equations : papers /

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1973年

作者： NSF-CBMS Regional conference on the numerical Solution of Nonlinear algebraic Systems with Applicati

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IEEE conference ON DECISION AND CONTROL, SYMPOSIUM ON ADAPTIVE PROCESSES, 11TH, PROCEEDINGS, 1972.

IEEE CONFERENCE ON DECISION AND CONTROL, SYMPOSIUM ON ADAPTI...

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IEEE Conf on Decis and Control, and, Symp on Adapt Processes, 11th, Proc, Dec 13-15 1972, 703 p

作者： Milhorn Jr., H.T. Reynolds, W.J. Mishra, Nirmal K. Meyer, Andrew U. Lourenco, Ruy V. Rosen, Arthur L. Borovetz, Harvey S. Weissman, Michael H. Wang, Robert C. Calvert, Thomas W. Cooper, J.Phillip Fischer, Stanley Shupp, Franklin R. von zur Muehlen, Peter

A wide variety of topics are discussed in the 179 papers comprising the Proceedings including: modeling and identification of physiological systems, microeconomics, system identification and time series analysis, image processing, linear systems, estimation of distributed parameter systems, modern pattern recognition , the status of stability theory, control theory applications to economics, numerical methods, games and minimax problems, estimation, geophysical data processing, adaptive estimation, application of modern control techniques to problems in manned-vehicle analysis, digital and nonlinear systems, computational problems in large-scale systems, learning control, minimax problems and differential games, distributed and hereditary systems, identification, transportation and applications of system theory, optimal control, future directions of society system engineering education, new directions in system science and engineering, input-output analysis in environmental management, Walsh functions, transportation systems, stochastic control systems, air traffic control, pattern recognition in biomedical research, adaptive control, and urban economics. Following is a list of titles and authors: Digital Computer Studies of Respiratory Control. By H. T. Milhorn, Jr. and W. J. Reynolds. Dynamics of the Diaphragm in the Control of Respiration. By Nirmal K. Mishra, Andrew U. Meyer, Ruy V. Lourenco and Arthur L. Rosen. Mathematical Model of Muscular Respiratory Dynamics. By Harvey S. Borovetz and Michael H. Weissman. Model to Predict Respiration from VCG Measurements. By Robert C. Wang and Thomas W. Calvert. Stabilization Policy in the St. Louis Econometric Model. By J. Phillip Cooper and Stanley Fischer. Optimal Control, Uncertainty and a Temporary Incomes Policy. By Franklin R. Shupp. Optimal Price Adjustment: Tests of a Price Equation in U. S. Manufacturing. By Peter von zur Muehlen

关键词： Decision theory and analysis

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IEEE conference ON DECISION AND CONTROL, SYMPOSIUM ON ADAPTIVE PROCESSES, 11TH, PROCEEDINGS, 1972.

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1972年

关键词： DECISION theory AND ANALYSIS

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linear algebra for Control theory 1

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丛书名： The IMA Volumes in Mathematics and its applications

1000年

作者： Paul Dooren Bostwick Wyman

ISBN: (数字)9781461384199

ISBN: (纸本)9781461384212

During the past decade the interaction between control theory and linear algebra has been ever increasing, giving rise to new results in both areas. As a natural outflow of this research, this book presents information on this interdisciplinary area. The cross-fertilization between control and linear algebra can be found in subfields such as numerical linear algebra, Canonical Forms, Ring-theoretic methods, Matrix theory, and Robust Control. This book's editors were challenged to present the latest results in these areas and to find points of common interest. This volume reflects very nicely the interaction: the range of topics seems very wide indeed, but the basic problems and techniques are always closely connected. And the common denominator in all of this is, of course, linear algebra.;This book is suitable for both mathematicians and students.

关键词： algebra Systems theory, Control Calculus of Variations and Optimal Control Optimization

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numerical Analysis and Optimization 1

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丛书名： Springer Proceedings in Mathematics & Statistics

1000年

作者： Mehiddin Al-Baali Anton Purnama Lucio Grandinetti

ISBN: (数字)9783030720407

ISBN: (纸本)9783030720391

This book gathers selected, peer-reviewed contributions presented at the Fifth International conference on numerical Analysis and Optimization (NAO-V), which was held at Sultan Qaboos University, Oman, on January 6-9, 2020. Each chapter reports on developments in key fields, such as numerical analysis, numerical optimization, numerical linear algebra, numerical differential equations, optimal control, approximation theory, applied mathematics, derivative-free optimization methods, programming models, and challenging applications that frequently arise in statistics, econometrics, finance, physics, medicine, biology, engineering and industry.;Many real-world, complex problems can be formulated as optimization tasks, and can be characterized further as large scale, unconstrained, constrained, non-convex, nondifferentiable or discontinuous, and therefore require adequate computational methods, algorithms and software tools. These same tools are often employed by researchers working in current IT hot topics, such as big data, optimization and other complex numerical algorithms in the cloud, devising special techniques for supercomputing systems. This interdisciplinary view permeates the work included in this volume.;The NAO conference series is held every three years at Sultan Qaboos University, with the aim of bringing together a group of international experts and presenting novel and advanced applications to facilitate interdisciplinary studies among pure scientific and applied knowledge. It is a venue where prominent scientists gather to share innovative ideas and know-how relating to new scientific methodologies, to promote scientific exchange, to discuss possible future cooperations, and to promote the mobility of local and young researchers.

关键词： Discrete Optimization numerical Analysis Analysis

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Nonlinear Differential Equations and applications 1

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丛书名： CIM Series in Mathematical Sciences

1000年

作者： Hugo Beirão da Veiga Feliz Minhós Nicolas Van Goethem Luís Sanchez Rodrigues

ISBN: (数字)9783031537400

ISBN: (纸本)9783031537394;9783031537424

This proceedings volume gathers selected, carefully reviewed works presented at the Portugal-Italy conference on Nonlinear Differential Equations and applications (PICNDEA22), held on July 4-6, 2022, at the University of Évora, Portugal.;The main focus of this work lies in non-linear problems originating in applications and their treatment with numerical analysis. The reader will also find new advances on topics such as ordinary and partial differential equations, numerical analysis, topological and variational methods, fluid mechanics, operator theory, stability, and more.;The Portugal-Italy conference on Nonlinear Differential Equations and applications convenes Italian and Portuguese researchers in differential equations and their applications to amplify previous collaboration and to follow and discuss new topics in the area. Reflecting the increasing teamwork involving the two mathematical communities, the conference has been opened to researchers from all nationalities.;While researchers in analysis and related fields are the primary readership of this volume, PhD students can rely on this book as a valuable source to keep pace with recent advances in differential equations and cutting-edge applications.

关键词： Analysis numerical Analysis Operator theory Classical and Continuum Physics

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Vector and Parallel Processing — VECPAR'96 1

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丛书名： Lecture Notes in Computer Science

1000年

ISBN: (数字)9783540686996

ISBN: (纸本)9783540628286

This book constitutes a carefully arranged selection of revised full papers chosen from the presentations given at the Second International conference on Vector and Parallel Processing - Systems and applications, VECPAR'96, held in Porto, Portugal, in September 1996.;Besides 10 invited papers by internationally leading experts, 17 papers were accepted from the submitted conference papers for inclusion in this documentation following a second round of refereeing. A broad spectrum of topics and applications for which parallelism contributes to progress is covered, among them parallel linear algebra, computational fluid dynamics, data parallelism, implementational issues, optimization, finite element computations, simulation, and visualisation.

关键词： Computer System Implementation theory of Computation Mathematics of Computing numerical Analysis Programming Techniques Computer Communication Networks

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Solving Polynomial Equations 1

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丛书名： Algorithms and Computation in Mathematics

1000年

作者： Alicia Dickenstein Ioannis Z. Emiris

ISBN: (数字)9783540273578

ISBN: (纸本)9783540243267;9783642063619

The subject of this book is the solution of polynomial equations, that is, s- tems of (generally) non-linear algebraic equations. This study is at the heart of several areas of mathematics and its applications. It has provided the - tivation for advances in di?erent branches of mathematics such as algebra, geometry, topology, and numerical analysis. In recent years, an explosive - velopment of algorithms and software has made it possible to solve many problems which had been intractable up to then and greatly expanded the areas of applications to include robotics, machine vision, signal processing, structural molecular biology, computer-aided design and geometric modelling, as well as certain areas of statistics, optimization and game theory, and b- logical networks. At the same time, symbolic computation has proved to be an invaluable tool for experimentation and conjecture in pure mathematics. As a consequence, the interest in e?ective algebraic geometry and computer algebrahasextendedwellbeyonditsoriginalconstituencyofpureandapplied mathematicians and computer scientists, to encompass many other scientists and engineers. While the core of the subject remains algebraic geometry, it also calls upon many other aspects of mathematics and theoretical computer science, ranging from numerical methods, di?erential equations and number theory to discrete geometry, combinatorics and complexity theory. Thegoalofthisbookistoprovideageneralintroduction tomodernma- ematical aspects in computing with multivariate polynomials and in solving algebraic systems.

关键词： algebra Algorithms Symbolic and algebraic Manipulation

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Monte Carlo and Quasi-Monte Carlo methods 1996 1

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丛书名： Lecture Notes in Statistics

1000年

作者： Harald Niederreiter Peter Hellekalek Gerhard Larcher Peter Zinterhof

ISBN: (数字)9781461216902

ISBN: (纸本)9780387983356

Monte Carlo methods are numerical methods based on random sampling and quasi-Monte Carlo methods are their deterministic versions. This volume contains the refereed proceedings of the Second International conference on Monte Carlo and Quasi-Monte Carlo methods in Scientific Computing which was held at the University of Salzburg (Austria) from July 9--12, 1996. The conference was a forum for recent progress in the theory and the applications of these methods. The topics covered in this volume range from theoretical issues in Monte Carlo and simulation methods, low-discrepancy point sets and sequences, lattice rules, and pseudorandom number generation to applications such as numerical integration, numerical linear algebra, integral equations, binary search, global optimization, computational physics, mathematical finance, and computer graphics. These proceedings will be of interest to graduate students and researchers in Monte Carlo and quasi-Monte Carlo methods, to numerical analysts, and to practitioners of simulation methods.

关键词： applications of Mathematics

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