Matrices And Their Roots

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Matrices and Their Roots

Author : A R G Heesterman
Publisher : World Scientific Publishing Company
ISBN 13 : 9813103639
Total Pages : 468 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Matrices and Their Roots by : A R G Heesterman

Download or read book Matrices and Their Roots written by A R G Heesterman and published by World Scientific Publishing Company. This book was released on 1990-12-31 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook addresses itself to two groups of students who need mathematics in an applied context: undergraduates starting at the beginning, and postgraduates who need reference-material, but who, not being mathematics specialists, nevertheless are not best served by an ordinary mathematics textbook, which will generally be at a higher level of abstraction. It gives full proofs throughout, and is illustrated with a large number of numerical examples, reinforcing the student's grasp of the topics covered by exercises and corresponding answersheets, and by the corresponding tutorial program ILLUSTRATE. The program ‘Illustrate’ will run on any IBM compatible micro-computer. The relevant areas of application are economics, econometrics, mathematical programming and engineering.

Matrices and Their Roots

Author : A. R. G. Heesterman
Publisher : World Scientific
ISBN 13 : 9789810203962
Total Pages : 472 pages
Book Rating : 4.2/5 (39 download)

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Book Synopsis Matrices and Their Roots by : A. R. G. Heesterman

Download or read book Matrices and Their Roots written by A. R. G. Heesterman and published by World Scientific. This book was released on 1990 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook addresses itself to two groups of students who need mathematics in an applied context: undergraduates starting at the beginning, and postgraduates who need reference-material, but who, not being mathematics specialists, nevertheless are not best served by an ordinary mathematics textbook, which will generally be at a higher level of abstraction. It gives full proofs throughout, and is illustrated with a large number of numerical examples, reinforcing the student's grasp of the topics covered by exercises and corresponding answersheets, and by the corresponding tutorial program ILLUSTRATE. The program ?Illustrate? will run on any IBM compatible micro-computer. The relevant areas of application are economics, econometrics, mathematical programming and engineering.

Provisional Agenda for the 3676th Meeting of the Security Council, to be Held on Friday, 28 June 1996

Author :
Publisher :
ISBN 13 :
Total Pages : 1 pages
Book Rating : 4.:/5 (817 download)

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Book Synopsis Provisional Agenda for the 3676th Meeting of the Security Council, to be Held on Friday, 28 June 1996 by :

Download or read book Provisional Agenda for the 3676th Meeting of the Security Council, to be Held on Friday, 28 June 1996 written by and published by . This book was released on 1996 with total page 1 pages. Available in PDF, EPUB and Kindle. Book excerpt:

On the Roots of Matrices

Author : William Henry Metzler
Publisher :
ISBN 13 :
Total Pages : 64 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis On the Roots of Matrices by : William Henry Metzler

Download or read book On the Roots of Matrices written by William Henry Metzler and published by . This book was released on 1892 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theory Of Matrices

Author : B S Vatssa
Publisher : New Age International
ISBN 13 : 9788122401233
Total Pages : 288 pages
Book Rating : 4.4/5 (12 download)

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Book Synopsis Theory Of Matrices by : B S Vatssa

Download or read book Theory Of Matrices written by B S Vatssa and published by New Age International. This book was released on 2007 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Book Enables Students To Thoroughly Master Pre-College Mathematics And Helps Them To Prepare For Various Entrance (Screening) Tests With Skill And Confidence.The Book Thoroughly Explains The Following: 1. Algebra 2. Trigonometry 3. Co-Ordinate Geometry 4. Three Dimensional Geometry 5. Calculus 6. Vectors 7. StatisticsIn Addition To Theory, The Book Includes A Large Number Of -Solved Examples -Practice Problems With Answers -Objective Questions Including Multiple Choice, True/False And Fill-In-The-Blanks -Model Test Papers And Iit Screening Tests For Self-Test The Language Is Clear And Simple Throughout The Book And The Entire Subject Is Explained In An Interesting And Easy-To-Understand Manner.

Around the Unit Circle

Author : James McKee
Publisher : Springer Nature
ISBN 13 : 3030800318
Total Pages : 444 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Around the Unit Circle by : James McKee

Download or read book Around the Unit Circle written by James McKee and published by Springer Nature. This book was released on 2021-12-08 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mahler measure, a height function for polynomials, is the central theme of this book. It has many interesting properties, obtained by algebraic, analytic and combinatorial methods. It is the subject of several longstanding unsolved questions, such as Lehmer’s Problem (1933) and Boyd’s Conjecture (1981). This book contains a wide range of results on Mahler measure. Some of the results are very recent, such as Dimitrov’s proof of the Schinzel–Zassenhaus Conjecture. Other known results are included with new, streamlined proofs. Robinson’s Conjectures (1965) for cyclotomic integers, and their associated Cassels height function, are also discussed, for the first time in a book. One way to study algebraic integers is to associate them with combinatorial objects, such as integer matrices. In some of these combinatorial settings the analogues of several notorious open problems have been solved, and the book sets out this recent work. Many Mahler measure results are proved for restricted sets of polynomials, such as for totally real polynomials, and reciprocal polynomials of integer symmetric as well as symmetrizable matrices. For reference, the book includes appendices providing necessary background from algebraic number theory, graph theory, and other prerequisites, along with tables of one- and two-variable integer polynomials with small Mahler measure. All theorems are well motivated and presented in an accessible way. Numerous exercises at various levels are given, including some for computer programming. A wide range of stimulating open problems is also included. At the end of each chapter there is a glossary of newly introduced concepts and definitions. Around the Unit Circle is written in a friendly, lucid, enjoyable style, without sacrificing mathematical rigour. It is intended for lecture courses at the graduate level, and will also be a valuable reference for researchers interested in Mahler measure. Essentially self-contained, this textbook should also be accessible to well-prepared upper-level undergraduates.

Limits for the Characteristic Roots of a Matrix

Author : Alfred Theodore Brauer
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Limits for the Characteristic Roots of a Matrix by : Alfred Theodore Brauer

Download or read book Limits for the Characteristic Roots of a Matrix written by Alfred Theodore Brauer and published by . This book was released on 1958 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the recently published book of E. Bodewig, Matrix Calculus some results of the earlier parts of this paper are mentioned. It is stated there that they are of theoretical interest, but have no practical value. In this paper it will be shown that they can easily be used for practical computations.

Matrix Groups for Undergraduates

Author : Kristopher Tapp
Publisher : American Mathematical Soc.
ISBN 13 : 1470427222
Total Pages : 239 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Matrix Groups for Undergraduates by : Kristopher Tapp

Download or read book Matrix Groups for Undergraduates written by Kristopher Tapp and published by American Mathematical Soc.. This book was released on 2016-04-07 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matrix groups touch an enormous spectrum of the mathematical arena. This textbook brings them into the undergraduate curriculum. It makes an excellent one-semester course for students familiar with linear and abstract algebra and prepares them for a graduate course on Lie groups. Matrix Groups for Undergraduates is concrete and example-driven, with geometric motivation and rigorous proofs. The story begins and ends with the rotations of a globe. In between, the author combines rigor and intuition to describe the basic objects of Lie theory: Lie algebras, matrix exponentiation, Lie brackets, maximal tori, homogeneous spaces, and roots. This second edition includes two new chapters that allow for an easier transition to the general theory of Lie groups.

Stochastic Matrices with a Non-trivial Greatest Positive Root

Author : Alfred Brauer
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Stochastic Matrices with a Non-trivial Greatest Positive Root by : Alfred Brauer

Download or read book Stochastic Matrices with a Non-trivial Greatest Positive Root written by Alfred Brauer and published by . This book was released on 1959 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Survey of Matrix Theory and Matrix Inequalities

Author : Marvin Marcus
Publisher : Courier Corporation
ISBN 13 : 9780486671024
Total Pages : 212 pages
Book Rating : 4.6/5 (71 download)

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Book Synopsis A Survey of Matrix Theory and Matrix Inequalities by : Marvin Marcus

Download or read book A Survey of Matrix Theory and Matrix Inequalities written by Marvin Marcus and published by Courier Corporation. This book was released on 1992-01-01 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise, masterly survey of a substantial part of modern matrix theory introduces broad range of ideas involving both matrix theory and matrix inequalities. Also, convexity and matrices, localization of characteristic roots, proofs of classical theorems and results in contemporary research literature, more. Undergraduate-level. 1969 edition. Bibliography.

Applications of the Theory of Matrices

Author : F. R. Gantmacher
Publisher : Courier Corporation
ISBN 13 : 0486445542
Total Pages : 336 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Applications of the Theory of Matrices by : F. R. Gantmacher

Download or read book Applications of the Theory of Matrices written by F. R. Gantmacher and published by Courier Corporation. This book was released on 2005-01-01 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: The breadth of matrix theory's applications is reflected by this volume, which features material of interest to applied mathematicians as well as to control engineers studying stability of a servo-mechanism and numerical analysts evaluating the roots of a polynomial. Starting with a survey of complex symmetric, antisymmetric, and orthogonal matrices, the text advances to explorations of singular bundles of matrices and matrices with nonnegative elements. Applied mathematicians will take particular note of the full and readable chapter on applications of matrix theory to the study of systems of linear differential equations, and the text concludes with an exposition on the Routh-Hurwitz problem plus several helpful appendixes. 1959 edition.

Functions of Matrices

Author : Nicholas J. Higham
Publisher : SIAM
ISBN 13 : 0898716462
Total Pages : 431 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Functions of Matrices by : Nicholas J. Higham

Download or read book Functions of Matrices written by Nicholas J. Higham and published by SIAM. This book was released on 2008-09-11 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: “This superb book is timely and is written with great attention paid to detail, particularly in its referencing of the literature. The book has a wonderful blend of theory and code (MATLAB®) so will be useful both to nonexperts and to experts in the field.” — Alan Laub, Professor, University of California, Los Angeles The only book devoted exclusively to matrix functions, this research monograph gives a thorough treatment of the theory of matrix functions and numerical methods for computing them. The author's elegant presentation focuses on the equivalent definitions of f(A) via the Jordan canonical form, polynomial interpolation, and the Cauchy integral formula, and features an emphasis on results of practical interest and an extensive collection of problems and solutions. Functions of Matrices: Theory and Computation is more than just a monograph on matrix functions; its wide-ranging content—including an overview of applications, historical references, and miscellaneous results, tricks, and techniques with an f(A) connection—makes it useful as a general reference in numerical linear algebra.Other key features of the book include development of the theory of conditioning and properties of the Fréchet derivative; an emphasis on the Schur decomposition, the block Parlett recurrence, and judicious use of Padé approximants; the inclusion of new, unpublished research results and improved algorithms; a chapter devoted to the f(A)b problem; and a MATLAB® toolbox providing implementations of the key algorithms.Audience: This book is for specialists in numerical analysis and applied linear algebra as well as anyone wishing to learn about the theory of matrix functions and state of the art methods for computing them. It can be used for a graduate-level course on functions of matrices and is a suitable reference for an advanced course on applied or numerical linear algebra. It is also particularly well suited for self-study. Contents: List of Figures; List of Tables; Preface; Chapter 1: Theory of Matrix Functions; Chapter 2: Applications; Chapter 3: Conditioning; Chapter 4: Techniques for General Functions; Chapter 5: Matrix Sign Function; Chapter 6: Matrix Square Root; Chapter 7: Matrix pth Root; Chapter 8: The Polar Decomposition; Chapter 9: Schur-Parlett Algorithm; Chapter 10: Matrix Exponential; Chapter 11: Matrix Logarithm; Chapter 12: Matrix Cosine and Sine; Chapter 13: Function of Matrix Times Vector: f(A)b; Chapter 14: Miscellany; Appendix A: Notation; Appendix B: Background: Definitions and Useful Facts; Appendix C: Operation Counts; Appendix D: Matrix Function Toolbox; Appendix E: Solutions to Problems; Bibliography; Index.

On the Roots of Matrices (Classic Reprint)

Author : W. H. . Metzler
Publisher : Forgotten Books
ISBN 13 : 9781334215179
Total Pages : 62 pages
Book Rating : 4.2/5 (151 download)

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Book Synopsis On the Roots of Matrices (Classic Reprint) by : W. H. . Metzler

Download or read book On the Roots of Matrices (Classic Reprint) written by W. H. . Metzler and published by Forgotten Books. This book was released on 2016-11-08 with total page 62 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from On the Roots of Matrices In his memoir on Matrices (phil. Trans. 1858) Prof. Cayley enunciated the theorem: The determinant, having for its matrix a given matrix less the same matrix considered as a single quantity involving the matrix unity, is equal to zero. The equation implied in this theorem is known as Cayley's identical equation. Subsequently (in the Mess. Math. Vol. XIII, p. Mr. A. R. Forsyth gave a proof of this identical equation for matrices of the third order, based upon the solution of a system of linear difference equations.* Forsyth's method is applicable to matrices of any order. Considerable simplicity is gained, however, by the employment of non-scalar equations instead of the scalar equa tions employed by Forsyth. I have employed this modification of Forsyth's method to prove Sylvester's law of latency and Sylvester's theorem. In addition I have by this method investigated the existence of 'roots of matrices for different indices and in particular the roots of nilpotent matrices. For valuable suggestions in the working of this paper I am indebted to Dr. Henry Taber. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

On the Roots of Matrices

Author : William Henry Metzler
Publisher : Hardpress Publishing
ISBN 13 : 9781290823333
Total Pages : 66 pages
Book Rating : 4.8/5 (233 download)

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Book Synopsis On the Roots of Matrices by : William Henry Metzler

Download or read book On the Roots of Matrices written by William Henry Metzler and published by Hardpress Publishing. This book was released on 2012-08 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.

Algebraic Biology, Matrix Genetics, And Genetic Intelligence

Author : Sergei V Petoukhov
Publisher : World Scientific
ISBN 13 : 981127827X
Total Pages : 616 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Algebraic Biology, Matrix Genetics, And Genetic Intelligence by : Sergei V Petoukhov

Download or read book Algebraic Biology, Matrix Genetics, And Genetic Intelligence written by Sergei V Petoukhov and published by World Scientific. This book was released on 2023-08-02 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: Historically, mathematics, probability, and statistics have been widely used in the biological sciences. Recent progress in genomics has yielded many millions of gene sequences. But what do these sequences tell us and what are the generalities and rules governed by them? It seems that we understand very little about the genetic contexts required to 'read' them. There is more to life than the genomic blueprint of each organism. Life functions within the natural laws that we know and the ones we do not know. The development of modern mathematical natural sciences is based on the use of certain mathematical tools. Mathematics can be used to understand life from the molecular to the biosphere level.This book provides the foundation and latest advances for an emerging research area that uses tools from symbolic computation, computer algebra and logic, algebraic geometry, fractal geometry, probability and statistics, and matrix algebra to formalize and solve biological problems and explore its applications in algebraic biology and code biology. It introduces highly interdisciplinary topics in biomathematics such as matrix genetics, gestalt biology, bio-antenna arrays, resonance genetics, quantum biology, and more.

The Greatest Distance Between Two Characteristic Roots of a Matrix

Author : Alfred Brauer
Publisher :
ISBN 13 :
Total Pages : 30 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis The Greatest Distance Between Two Characteristic Roots of a Matrix by : Alfred Brauer

Download or read book The Greatest Distance Between Two Characteristic Roots of a Matrix written by Alfred Brauer and published by . This book was released on 1959 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:

On the Roots of Matrices

Author : William Henry Metzler
Publisher : Palala Press
ISBN 13 : 9781356420452
Total Pages : 60 pages
Book Rating : 4.4/5 (24 download)

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Book Synopsis On the Roots of Matrices by : William Henry Metzler

Download or read book On the Roots of Matrices written by William Henry Metzler and published by Palala Press. This book was released on 2016-05-12 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.