Introduction To Matrix Theory With Applications In Economics And Engineering Second Edition

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Introduction To Matrix Theory: With Applications In Economics And Engineering (Second Edition)

Author : Ferenc Szidarovszky
Publisher : World Scientific
ISBN 13 : 9811256667
Total Pages : 469 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Introduction To Matrix Theory: With Applications In Economics And Engineering (Second Edition) by : Ferenc Szidarovszky

Download or read book Introduction To Matrix Theory: With Applications In Economics And Engineering (Second Edition) written by Ferenc Szidarovszky and published by World Scientific. This book was released on 2022-12-19 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear algebra and matrix theory are among the most important and most frequently applied branches of mathematics. They are especially important in solving engineering and economic models, where either the model is assumed linear, or the nonlinear model is approximated by a linear model, and the resulting linear model is examined.This book is mainly a textbook, that covers a one semester upper division course or a two semester lower division course on the subject.The second edition will be an extended and modernized version of the first edition. We added some new theoretical topics and some new applications from fields other than economics. We also added more difficult exercises at the end of each chapter which require deep understanding of the theoretical issues. We also modernized some proofs in the theoretical discussions which give better overview of the study material. In preparing the manuscript we also corrected the typos and errors, so the second edition will be a corrected, extended and modernized new version of the first edition.

Introduction To Matrix Theory: With Applications In Economics And Engineering

Author : FERENC. MOLNAR SZIDAROVSZKY (SANDOR. MOLNAR, MARK.)
Publisher : Series on Concrete & Applicable Mathematics
ISBN 13 : 9789811256646
Total Pages : 0 pages
Book Rating : 4.2/5 (566 download)

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Book Synopsis Introduction To Matrix Theory: With Applications In Economics And Engineering by : FERENC. MOLNAR SZIDAROVSZKY (SANDOR. MOLNAR, MARK.)

Download or read book Introduction To Matrix Theory: With Applications In Economics And Engineering written by FERENC. MOLNAR SZIDAROVSZKY (SANDOR. MOLNAR, MARK.) and published by Series on Concrete & Applicable Mathematics. This book was released on 2022-07-06 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear algebra and matrix theory are among the most important and most frequently applied branches of mathematics. They are especially important in solving engineering and economic models, where either the model is assumed linear, or the nonlinear model is approximated by a linear model, and the resulting linear model is examined.This book is mainly a textbook, that covers a one semester upper division course or a two semester lower division course on the subject.The second edition will be an extended and modernized version of the first edition. We added some new theoretical topics and some new applications from fields other than economics. We also added more difficult exercises at the end of each chapter which require deep understanding of the theoretical issues. We also modernized some proofs in the theoretical discussions which give better overview of the study material. In preparing the manuscript we also corrected the typos and errors, so the second edition will be a corrected, extended and modernized new version of the first edition.

Introduction to Matrix Theory

Author : Ferenc Szidarovszky
Publisher : World Scientific
ISBN 13 : 9789810245139
Total Pages : 516 pages
Book Rating : 4.2/5 (451 download)

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Book Synopsis Introduction to Matrix Theory by : Ferenc Szidarovszky

Download or read book Introduction to Matrix Theory written by Ferenc Szidarovszky and published by World Scientific. This book was released on 2002 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: In economic modeling and planning, as well as in business, most problems are linear, or approximated by linear models. Such problems are solved by matrix methods, so the material presented in this book is essential to these fields.

Introduction to Matrix Theory

Author : Dr. Sándor Molnár
Publisher :
ISBN 13 : 9789812778574
Total Pages : 512 pages
Book Rating : 4.7/5 (785 download)

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Book Synopsis Introduction to Matrix Theory by : Dr. Sándor Molnár

Download or read book Introduction to Matrix Theory written by Dr. Sándor Molnár and published by . This book was released on 2002 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Matrix Theory and Applications for Scientists and Engineers

Author : Alexander Graham
Publisher : Courier Dover Publications
ISBN 13 : 0486824195
Total Pages : 305 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Matrix Theory and Applications for Scientists and Engineers by : Alexander Graham

Download or read book Matrix Theory and Applications for Scientists and Engineers written by Alexander Graham and published by Courier Dover Publications. This book was released on 2018-07-18 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this comprehensive text on matrix theory and its applications, Graham explores the underlying principles as well as the numerous applications of the various concepts presented. Includes numerous problems with solutions. 1979 edition.

Introduction to Matrix Analysis and Applications

Author : Fumio Hiai
Publisher : Springer Science & Business Media
ISBN 13 : 3319041509
Total Pages : 337 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Introduction to Matrix Analysis and Applications by : Fumio Hiai

Download or read book Introduction to Matrix Analysis and Applications written by Fumio Hiai and published by Springer Science & Business Media. This book was released on 2014-02-06 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrices can be studied in different ways. They are a linear algebraic structure and have a topological/analytical aspect (for example, the normed space of matrices) and they also carry an order structure that is induced by positive semidefinite matrices. The interplay of these closely related structures is an essential feature of matrix analysis. This book explains these aspects of matrix analysis from a functional analysis point of view. After an introduction to matrices and functional analysis, it covers more advanced topics such as matrix monotone functions, matrix means, majorization and entropies. Several applications to quantum information are also included. Introduction to Matrix Analysis and Applications is appropriate for an advanced graduate course on matrix analysis, particularly aimed at studying quantum information. It can also be used as a reference for researchers in quantum information, statistics, engineering and economics.

Matrix Theory

Author : Fuzhen Zhang
Publisher : Springer Science & Business Media
ISBN 13 : 1475757972
Total Pages : 290 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Matrix Theory by : Fuzhen Zhang

Download or read book Matrix Theory written by Fuzhen Zhang and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume concisely presents fundamental ideas, results, and techniques in linear algebra and mainly matrix theory. Each chapter focuses on the results, techniques, and methods that are beautiful, interesting, and representative, followed by carefully selected problems. For many theorems several different proofs are given. The only prerequisites are a decent background in elementary linear algebra and calculus.

Fundamentals of Matrix Analysis with Applications

Author : Edward Barry Saff
Publisher : John Wiley & Sons
ISBN 13 : 1118953657
Total Pages : 407 pages
Book Rating : 4.1/5 (189 download)

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Book Synopsis Fundamentals of Matrix Analysis with Applications by : Edward Barry Saff

Download or read book Fundamentals of Matrix Analysis with Applications written by Edward Barry Saff and published by John Wiley & Sons. This book was released on 2015-10-12 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible and clear introduction to linear algebra with a focus on matrices and engineering applications Providing comprehensive coverage of matrix theory from a geometric and physical perspective, Fundamentals of Matrix Analysis with Applications describes the functionality of matrices and their ability to quantify and analyze many practical applications. Written by a highly qualified author team, the book presents tools for matrix analysis and is illustrated with extensive examples and software implementations. Beginning with a detailed exposition and review of the Gauss elimination method, the authors maintain readers’ interest with refreshing discussions regarding the issues of operation counts, computer speed and precision, complex arithmetic formulations, parameterization of solutions, and the logical traps that dictate strict adherence to Gauss’s instructions. The book heralds matrix formulation both as notational shorthand and as a quantifier of physical operations such as rotations, projections, reflections, and the Gauss reductions. Inverses and eigenvectors are visualized first in an operator context before being addressed computationally. Least squares theory is expounded in all its manifestations including optimization, orthogonality, computational accuracy, and even function theory. Fundamentals of Matrix Analysis with Applications also features: Novel approaches employed to explicate the QR, singular value, Schur, and Jordan decompositions and their applications Coverage of the role of the matrix exponential in the solution of linear systems of differential equations with constant coefficients Chapter-by-chapter summaries, review problems, technical writing exercises, select solutions, and group projects to aid comprehension of the presented concepts Fundamentals of Matrix Analysis with Applications is an excellent textbook for undergraduate courses in linear algebra and matrix theory for students majoring in mathematics, engineering, and science. The book is also an accessible go-to reference for readers seeking clarification of the fine points of kinematics, circuit theory, control theory, computational statistics, and numerical algorithms.

Matrix Theory

Author : Fuzhen Zhang
Publisher : Springer Science & Business Media
ISBN 13 : 1461410991
Total Pages : 416 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Matrix Theory by : Fuzhen Zhang

Download or read book Matrix Theory written by Fuzhen Zhang and published by Springer Science & Business Media. This book was released on 2011-08-28 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to concisely present fundamental ideas, results, and techniques in linear algebra and mainly matrix theory. The book contains ten chapters covering various topics ranging from similarity and special types of matrices to Schur complements and matrix normality. This book can be used as a textbook or a supplement for a linear algebra and matrix theory class or a seminar for senior undergraduate or graduate students. The book can also serve as a reference for instructors and researchers in the fields of algebra, matrix analysis, operator theory, statistics, computer science, engineering, operations research, economics, and other fields. Major changes in this revised and expanded second edition: -Expansion of topics such as matrix functions, nonnegative matrices, and (unitarily invariant) matrix norms -A new chapter, Chapter 4, with updated material on numerical ranges and radii, matrix norms, and special operations such as the Kronecker and Hadamard products and compound matrices -A new chapter, Chapter 10, on matrix inequalities, which presents a variety of inequalities on the eigenvalues and singular values of matrices and unitarily invariant norms.

Matrix Algebra for Linear Models

Author : Marvin H. J. Gruber
Publisher : Wiley
ISBN 13 : 9781118608746
Total Pages : 392 pages
Book Rating : 4.6/5 (87 download)

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Book Synopsis Matrix Algebra for Linear Models by : Marvin H. J. Gruber

Download or read book Matrix Algebra for Linear Models written by Marvin H. J. Gruber and published by Wiley. This book was released on 2014-01-03 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix methods have evolved from a tool for expressing statistical problems to an indispensable part of the development, understanding, and use of various types of complex statistical analyses. This evolution has made matrix methods a vital part of statistical education. Traditionally, matrix methods are taught in courses on everything from regression analysis to stochastic processes, thus creating a fractured view of the topic. Matrix Algebra for Linear Models offers readers a unique, unified view of matrix analysis theory (where and when necessary), methods, and their applications.

Introduction to Applied Linear Algebra

Author : Stephen Boyd
Publisher : Cambridge University Press
ISBN 13 : 1316518965
Total Pages : 477 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Introduction to Applied Linear Algebra by : Stephen Boyd

Download or read book Introduction to Applied Linear Algebra written by Stephen Boyd and published by Cambridge University Press. This book was released on 2018-06-07 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Matrix Theory

Author : Joel N. Franklin
Publisher : Courier Corporation
ISBN 13 : 0486136388
Total Pages : 319 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Matrix Theory by : Joel N. Franklin

Download or read book Matrix Theory written by Joel N. Franklin and published by Courier Corporation. This book was released on 2012-07-31 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematically rigorous introduction covers vector and matrix norms, the condition-number of a matrix, positive and irreducible matrices, much more. Only elementary algebra and calculus required. Includes problem-solving exercises. 1968 edition.

Elementary Matrix Theory

Author : Howard Eves
Publisher : Courier Corporation
ISBN 13 : 0486150275
Total Pages : 356 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Elementary Matrix Theory by : Howard Eves

Download or read book Elementary Matrix Theory written by Howard Eves and published by Courier Corporation. This book was released on 2012-04-30 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: The usefulness of matrix theory as a tool in disciplines ranging from quantum mechanics to psychometrics is widely recognized, and courses in matrix theory are increasingly a standard part of the undergraduate curriculum. This outstanding text offers an unusual introduction to matrix theory at the undergraduate level. Unlike most texts dealing with the topic, which tend to remain on an abstract level, Dr. Eves' book employs a concrete elementary approach, avoiding abstraction until the final chapter. This practical method renders the text especially accessible to students of physics, engineering, business and the social sciences, as well as math majors. Although the treatment is fundamental — no previous courses in abstract algebra are required — it is also flexible: each chapter includes special material for advanced students interested in deeper study or application of the theory. The book begins with preliminary remarks that set the stage for the author's concrete approach to matrix theory and the consideration of matrices as hypercomplex numbers. Dr. Eves then goes on to cover fundamental concepts and operations, equivalence, determinants, matrices with polynomial elements, similarity and congruence. A final optional chapter considers matrix theory from a generalized or abstract viewpoint, extending it to arbitrary number rings and fields, vector spaces and linear transformations of vector spaces. The author's concluding remarks direct the interested student to possible avenues of further study in matrix theory, while an extensive bibliography rounds out the book. Students of matrix theory will especially appreciate the many excellent problems (solutions not provided) included in each chapter, which are not just routine calculation exercises, but involve proof and extension of the concepts and material of the text. Scientists, engineers, economists and others whose work involves this important area of mathematics, will welcome the variety of special types of matrices and determinants discussed, which make the book not only a comprehensive introduction to the field, but a valuable resource and reference work.

Computational Matrix Analysis

Author : Alan J. Laub
Publisher : SIAM
ISBN 13 : 9781611972214
Total Pages : 157 pages
Book Rating : 4.9/5 (722 download)

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Book Synopsis Computational Matrix Analysis by : Alan J. Laub

Download or read book Computational Matrix Analysis written by Alan J. Laub and published by SIAM. This book was released on 2012-01-01 with total page 157 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using an approach that author Alan Laub calls "matrix analysis for grown-ups," this new textbook introduces fundamental concepts of numerical linear algebra and their application to solving certain numerical problems arising in state-space control and systems theory. It is written for advanced undergraduate and beginning graduate students and can be used as a follow-up to Matrix Analysis for Scientists and Engineers (SIAM, 2005), a compact single-semester introduction to matrix analysis for engineers and computational scientists by the same author. Computational Matrix Analysis provides readers with a one-semester introduction to numerical linear algebra; an introduction to statistical condition estimation in book form for the first time; and an overview of certain computational problems in control and systems theory. The book features a number of elements designed to help students learn to use numerical linear algebra in day-to-day computing or research, including a brief review of matrix analysis, including notation, and an introduction to finite (IEEE) arithmetic; discussion and examples of conditioning, stability, and rounding analysis; an introduction to mathematical software topics related to numerical linear algebra; a thorough introduction to Gaussian elimination, along with condition estimation techniques; coverage of linear least squares, with orthogonal reduction and QR factorization; variants of the QR algorithm; and applications of the discussed algorithms.

Matrix Theory

Author : David Lewis
Publisher : World Scientific Publishing Company
ISBN 13 : 9813103477
Total Pages : 310 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Matrix Theory by : David Lewis

Download or read book Matrix Theory written by David Lewis and published by World Scientific Publishing Company. This book was released on 1991-09-30 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to matrix theory and aims to provide a clear and concise exposition of the basic ideas, results and techniques in the subject. Complete proofs are given, and no knowledge beyond high school mathematics is necessary. The book includes many examples, applications and exercises for the reader, so that it can used both by students interested in theory and those who are mainly interested in learning the techniques.

Matrix Mathematics

Author : Dennis S. Bernstein
Publisher : Princeton University Press
ISBN 13 : 1400833345
Total Pages : 1182 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Matrix Mathematics by : Dennis S. Bernstein

Download or read book Matrix Mathematics written by Dennis S. Bernstein and published by Princeton University Press. This book was released on 2009-07-06 with total page 1182 pages. Available in PDF, EPUB and Kindle. Book excerpt: When first published in 2005, Matrix Mathematics quickly became the essential reference book for users of matrices in all branches of engineering, science, and applied mathematics. In this fully updated and expanded edition, the author brings together the latest results on matrix theory to make this the most complete, current, and easy-to-use book on matrices. Each chapter describes relevant background theory followed by specialized results. Hundreds of identities, inequalities, and matrix facts are stated clearly and rigorously with cross references, citations to the literature, and illuminating remarks. Beginning with preliminaries on sets, functions, and relations,Matrix Mathematics covers all of the major topics in matrix theory, including matrix transformations; polynomial matrices; matrix decompositions; generalized inverses; Kronecker and Schur algebra; positive-semidefinite matrices; vector and matrix norms; the matrix exponential and stability theory; and linear systems and control theory. Also included are a detailed list of symbols, a summary of notation and conventions, an extensive bibliography and author index with page references, and an exhaustive subject index. This significantly expanded edition of Matrix Mathematics features a wealth of new material on graphs, scalar identities and inequalities, alternative partial orderings, matrix pencils, finite groups, zeros of multivariable transfer functions, roots of polynomials, convex functions, and matrix norms. Covers hundreds of important and useful results on matrix theory, many never before available in any book Provides a list of symbols and a summary of conventions for easy use Includes an extensive collection of scalar identities and inequalities Features a detailed bibliography and author index with page references Includes an exhaustive subject index with cross-referencing

Matrices and Linear Algebra

Author : Hans Schneider
Publisher : Courier Corporation
ISBN 13 : 0486139301
Total Pages : 430 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Matrices and Linear Algebra by : Hans Schneider

Download or read book Matrices and Linear Algebra written by Hans Schneider and published by Courier Corporation. This book was released on 2012-06-08 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Linear algebra is one of the central disciplines in mathematics. A student of pure mathematics must know linear algebra if he is to continue with modern algebra or functional analysis. Much of the mathematics now taught to engineers and physicists requires it. This well-known and highly regarded text makes the subject accessible to undergraduates with little mathematical experience. Written mainly for students in physics, engineering, economics, and other fields outside mathematics, the book gives the theory of matrices and applications to systems of linear equations, as well as many related topics such as determinants, eigenvalues, and differential equations. Table of Contents: l. The Algebra of Matrices 2. Linear Equations 3. Vector Spaces 4. Determinants 5. Linear Transformations 6. Eigenvalues and Eigenvectors 7. Inner Product Spaces 8. Applications to Differential Equations For the second edition, the authors added several exercises in each chapter and a brand new section in Chapter 7. The exercises, which are both true-false and multiple-choice, will enable the student to test his grasp of the definitions and theorems in the chapter. The new section in Chapter 7 illustrates the geometric content of Sylvester's Theorem by means of conic sections and quadric surfaces. 6 line drawings. lndex. Two prefaces. Answer section.