Matrices And Determinoids Volume 1
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Matrices And Determinoids Volume 1
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Author : C. E. Cullis
language : en
Publisher: Cambridge University Press
Release Date : 2013-03-28
Matrices And Determinoids Volume 1 written by C. E. Cullis and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-28 with Mathematics categories.
This 1913 book forms part of a three-volume work dealing with rectangular matrices and determinoids as distinguished from square matrices and determinants. The first volume contains the most fundamental portions of the theory and concludes with the solution of any system of linear algebraic equations.
Matrices And Determinoids Volume 2
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Author : C. E. Cullis
language : en
Publisher: Cambridge University Press
Release Date : 2013-03-28
Matrices And Determinoids Volume 2 written by C. E. Cullis and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-28 with Mathematics categories.
This 1913 book forms part of a three-volume work dealing with rectangular matrices and determinoids as distinguished from square matrices and determinants. The second volume contains further developments of the general theory, including a discussion of matrix equations of the second degree.
Matrix Computations And Semiseparable Matrices
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Author : Raf Vandebril
language : en
Publisher: JHU Press
Release Date : 2008-01-14
Matrix Computations And Semiseparable Matrices written by Raf Vandebril and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-14 with Mathematics categories.
In recent years several new classes of matrices have been discovered and their structure exploited to design fast and accurate algorithms. In this new reference work, Raf Vandebril, Marc Van Barel, and Nicola Mastronardi present the first comprehensive overview of the mathematical and numerical properties of the family's newest member: semiseparable matrices. The text is divided into three parts. The first provides some historical background and introduces concepts and definitions concerning structured rank matrices. The second offers some traditional methods for solving systems of equations involving the basic subclasses of these matrices. The third section discusses structured rank matrices in a broader context, presents algorithms for solving higher-order structured rank matrices, and examines hybrid variants such as block quasiseparable matrices. An accessible case study clearly demonstrates the general topic of each new concept discussed. Many of the routines featured are implemented in Matlab and can be downloaded from the Web for further exploration.
Fast Matrix Multiplication With Applications
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Author : Jerzy S. Respondek
language : en
Publisher: Springer Nature
Release Date : 2025-02-26
Fast Matrix Multiplication With Applications written by Jerzy S. Respondek and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-26 with Computers categories.
The ambition of this monograph is to show the methods of constructing fast matrix multiplication algorithms, and their applications, in an intelligible way, accessible not only to mathematicians. The scope and coverage of the book are comprehensive and constructive, and the analyses and algorithms can be readily applied by readers from various disciplines of science and technology who need modern tools and techniques related to fast matrix multiplication and related problems and techniques. Authors start from commutative algorithms, through exact non-commutative algorithms, partial algorithms to disjoint and arbitrary precision algorithms. Authors explain how to adapt disjoint algorithms to a single matrix multiplication and prove the famous tau-theorem in the (not so) special case. In an appendix, authors show how to work with confluent Vandermonde matrices, since they are used as an auxiliary tool in problems arising in fast matrix multiplication. Importantly, each algorithm is demonstrated by a concrete example of a decent dimensionality to ensure that all the mechanisms of the algorithms are illustrated. Finally, authors give a series of applications of fast matrix multiplication algorithms in linear algebra and other types of problems, including artificial intelligence.
Matrices And Determinoids
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Author : Cuthbert Edmund Cullis
language : en
Publisher: CUP Archive
Release Date : 1918
Matrices And Determinoids written by Cuthbert Edmund Cullis and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1918 with categories.
Lectures On Matrices
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Author : J. H. M. Wedderburn
language : en
Publisher: American Mathematical Soc.
Release Date : 1934-12-31
Lectures On Matrices written by J. H. M. Wedderburn and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1934-12-31 with Mathematics categories.
It is the organization and presentation of the material, however, which make the peculiar appeal of the book. This is no mere compendium of results--the subject has been completely reworked and the proofs recast with the skill and elegance which come only from years of devotion. --Bulletin of the American Mathematical Society The very clear and simple presentation gives the reader easy access to the more difficult parts of the theory. --Jahrbuch uber die Fortschritte der Mathematik In 1937, the theory of matrices was seventy-five years old. However, many results had only recently evolved from special cases to true general theorems. With the publication of his Colloquium Lectures, Wedderburn provided one of the first great syntheses of the subject. Much of the material in the early chapters is now familiar from textbooks on linear algebra. Wedderburn discusses topics such as vectors, bases, adjoints, eigenvalues and the characteristic polynomials, up to and including the properties of Hermitian and orthogonal matrices. Later chapters bring in special results on commuting families of matrices, functions of matrices--including elements of the differential and integral calculus sometimes known as matrix analysis, and transformations of bilinear forms. The final chapter treats associative algebras, culminating with the well-known Wedderburn-Artin theorem that simple algebras are necessarily isomorphic to matrix algebras. Wedderburn ends with an appendix of historical notes on the development of the theory of matrices, and a bibliography that emphasizes the history of the subject.
A History Of Mathematical Notations
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Author : Florian Cajori
language : en
Publisher: Courier Corporation
Release Date : 2013-09-26
A History Of Mathematical Notations written by Florian Cajori and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-26 with Mathematics categories.
This classic study notes the origin of a mathematical symbol, the competition it encountered, its spread among writers in different countries, its rise to popularity, and its eventual decline or ultimate survival. 1929 edition.
Applications Of Geometric Algebra In Computer Science And Engineering
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Author : Leo Dorst
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Applications Of Geometric Algebra In Computer Science And Engineering written by Leo Dorst and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Geometric algebra has established itself as a powerful and valuable mathematical tool for solving problems in computer science, engineering, physics, and mathematics. The articles in this volume, written by experts in various fields, reflect an interdisciplinary approach to the subject, and highlight a range of techniques and applications. Relevant ideas are introduced in a self-contained manner and only a knowledge of linear algebra and calculus is assumed. Features and Topics: * The mathematical foundations of geometric algebra are explored * Applications in computational geometry include models of reflection and ray-tracing and a new and concise characterization of the crystallographic groups * Applications in engineering include robotics, image geometry, control-pose estimation, inverse kinematics and dynamics, control and visual navigation * Applications in physics include rigid-body dynamics, elasticity, and electromagnetism * Chapters dedicated to quantum information theory dealing with multi- particle entanglement, MRI, and relativistic generalizations Practitioners, professionals, and researchers working in computer science, engineering, physics, and mathematics will find a wide range of useful applications in this state-of-the-art survey and reference book. Additionally, advanced graduate students interested in geometric algebra will find the most current applications and methods discussed.
Applied Graph Theory An Introduction With Graph Optimization And Algebraic Graph Theory
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Author : Christopher H Griffin
language : en
Publisher: World Scientific
Release Date : 2023-08-08
Applied Graph Theory An Introduction With Graph Optimization And Algebraic Graph Theory written by Christopher H Griffin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-08 with Mathematics categories.
This book serves as an introduction to graph theory and its applications. It is intended for a senior undergraduate course in graph theory but is also appropriate for beginning graduate students in science or engineering. The book presents a rigorous (proof-based) introduction to graph theory while also discussing applications of the results for solving real-world problems of interest. The book is divided into four parts. Part 1 covers the combinatorial aspects of graph theory including a discussion of common vocabulary, a discussion of vertex and edge cuts, Eulerian tours, Hamiltonian paths and a characterization of trees. This leads to Part 2, which discusses common combinatorial optimization problems. Spanning trees, shortest path problems and matroids are all discussed, as are maximum flow problems. Part 2 ends with a discussion of graph coloring and a proof of the NP-completeness of the coloring problem. Part 3 introduces the reader to algebraic graph theory, and focuses on Markov chains, centrality computation (e.g., eigenvector centrality and page rank), as well as spectral graph clustering and the graph Laplacian. Part 4 contains additional material on linear programming, which is used to provide an alternative analysis of the maximum flow problem. Two appendices containing prerequisite material on linear algebra and probability theory are also provided.
The Publishers Circular And Booksellers Record
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Author :
language : en
Publisher:
Release Date : 1912
The Publishers Circular And Booksellers Record written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1912 with Bibliography categories.