An Introduction To Semi Tensor Product Of Matrices And Its Applications

Author : Daizhan Cheng
Publisher : World Scientific
ISBN 13 : 9814374687
Total Pages : 610 pages
Book Rating : 4.82/5 ( download)

DOWNLOAD NOW!

Download or read book An Introduction to Semi-tensor Product of Matrices and Its Applications written by Daizhan Cheng and published by World Scientific. This book was released on 2012 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proposes a generalization of Conventional Matrix Product (CMP), called the Semi-Tensor Product (STP). This book offers a comprehensive introduction to the theory of STP and its various applications, including logical function, fuzzy control, Boolean networks, analysis and control of nonlinear systems, amongst others.

Author : Cheng Daizhan
Publisher : World Scientific
ISBN 13 : 9814458015
Total Pages : 612 pages
Book Rating : 4.16/5 ( download)

DOWNLOAD NOW!

Download or read book An Introduction To Semi-tensor Product Of Matrices And Its Applications written by Cheng Daizhan and published by World Scientific. This book was released on 2012-05-31 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: A generalization of Conventional Matrix Product (CMP), called the Semi-Tensor Product (STP), is proposed. It extends the CMP to two arbitrary matrices and maintains all fundamental properties of CMP. In addition, it has a pseudo-commutative property, which makes it more superior to CMP. The STP was proposed by the authors to deal with higher-dimensional data as well as multilinear mappings. After over a decade of development, STP has been proven to be a powerful tool in dealing with nonlinear and logical calculations.This book is a comprehensive introduction to the theory of STP and its various applications, including logical function, fuzzy control, Boolean networks, analysis and control of nonlinear systems, amongst others.

Author : Wijesuriya P. Dayawansa
Publisher : Springer Science & Business Media
ISBN 13 : 9783540239536
Total Pages : 420 pages
Book Rating : 4.37/5 ( download)

DOWNLOAD NOW!

Download or read book New Directions and Applications in Control Theory written by Wijesuriya P. Dayawansa and published by Springer Science & Business Media. This book was released on 2005-08-31 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a collection of papers in control theory and applications presented at a conference in honor of Clyde Martin on the occasion of his 60th birthday, held in Lubbock, Texas, November 14-15, 2003.

Author : Daizhan Cheng
Publisher : Academic Press
ISBN 13 : 0128178027
Total Pages : 364 pages
Book Rating : 4.27/5 ( download)

DOWNLOAD NOW!

Download or read book From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems written by Daizhan Cheng and published by Academic Press. This book was released on 2019-05-18 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Dimension-Free Matrix Theory to Cross-Dimensional Dynamic Systems illuminates the underlying mathematics of semi-tensor product (STP), a generalized matrix product that extends the conventional matrix product to two matrices of arbitrary dimensions. Dimension-varying systems feature prominently across many disciplines, and through innovative applications its newly developed theory can revolutionize large data systems such as genomics and biosystems, deep learning, IT, and information-based engineering applications. Provides, for the first time, cross-dimensional system theory that is useful for modeling dimension-varying systems. Offers potential applications to the analysis and control of new dimension-varying systems. Investigates the underlying mathematics of semi-tensor product, including the equivalence and lattice structure of matrices and monoid of matrices with arbitrary dimensions.

Author : Yingmin Jia
Publisher : Springer
ISBN 13 : 9811023352
Total Pages : 627 pages
Book Rating : 4.54/5 ( download)

DOWNLOAD NOW!

Download or read book Proceedings of 2016 Chinese Intelligent Systems Conference written by Yingmin Jia and published by Springer. This book was released on 2016-09-20 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings present selected research papers from CISC’16, held in Xiamen, China. The topics include Multi-agent system, Evolutionary Computation, Artificial Intelligence, Complex systems, Computation intelligence and soft computing, Intelligent control, Advanced control technology, Robotics and applications, Intelligent information processing, Iterative learning control, Machine Learning, and etc. Engineers and researchers from academia, industry, and government can get an insight view of the solutions combining ideas from multiple disciplines in the field of intelligent systems.

Author : J. M. Landsberg
Publisher : American Mathematical Soc.
ISBN 13 : 0821869078
Total Pages : 464 pages
Book Rating : 4.79/5 ( download)

DOWNLOAD NOW!

Download or read book Tensors: Geometry and Applications written by J. M. Landsberg and published by American Mathematical Soc.. This book was released on 2011-12-14 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tensors are ubiquitous in the sciences. The geometry of tensors is both a powerful tool for extracting information from data sets, and a beautiful subject in its own right. This book has three intended uses: a classroom textbook, a reference work for researchers in the sciences, and an account of classical and modern results in (aspects of) the theory that will be of interest to researchers in geometry. For classroom use, there is a modern introduction to multilinear algebra and to the geometry and representation theory needed to study tensors, including a large number of exercises. For researchers in the sciences, there is information on tensors in table format for easy reference and a summary of the state of the art in elementary language. This is the first book containing many classical results regarding tensors. Particular applications treated in the book include the complexity of matrix multiplication, P versus NP, signal processing, phylogenetics, and algebraic statistics. For geometers, there is material on secant varieties, G-varieties, spaces with finitely many orbits and how these objects arise in applications, discussions of numerous open questions in geometry arising in applications, and expositions of advanced topics such as the proof of the Alexander-Hirschowitz theorem and of the Weyman-Kempf method for computing syzygies.

Author : Erxiong Jiang
Publisher :
ISBN 13 :
Total Pages : 504 pages
Book Rating : 4.05/5 ( download)

DOWNLOAD NOW!

Download or read book Advances in Matrix Theory and Its Applications written by Erxiong Jiang and published by . This book was released on 2008 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Raymond A. Ryan
Publisher : Springer Science & Business Media
ISBN 13 : 1447139038
Total Pages : 229 pages
Book Rating : 4.34/5 ( download)

DOWNLOAD NOW!

Download or read book Introduction to Tensor Products of Banach Spaces written by Raymond A. Ryan and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first ever truly introductory text to the theory of tensor products of Banach spaces. Coverage includes a full treatment of the Grothendieck theory of tensor norms, approximation property and the Radon-Nikodym Property, Bochner and Pettis integrals. Each chapter contains worked examples and a set of exercises, and two appendices offer material on summability in Banach spaces and properties of spaces of measures.

Author : Pavel I. Etingof
Publisher : American Mathematical Soc.
ISBN 13 : 0821853511
Total Pages : 240 pages
Book Rating : 4.11/5 ( download)

DOWNLOAD NOW!

Download or read book Introduction to Representation Theory written by Pavel I. Etingof and published by American Mathematical Soc.. This book was released on 2011 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Very roughly speaking, representation theory studies symmetry in linear spaces. It is a beautiful mathematical subject which has many applications, ranging from number theory and combinatorics to geometry, probability theory, quantum mechanics, and quantum field theory. The goal of this book is to give a ``holistic'' introduction to representation theory, presenting it as a unified subject which studies representations of associative algebras and treating the representation theories of groups, Lie algebras, and quivers as special cases. Using this approach, the book covers a number of standard topics in the representation theories of these structures. Theoretical material in the book is supplemented by many problems and exercises which touch upon a lot of additional topics; the more difficult exercises are provided with hints. The book is designed as a textbook for advanced undergraduate and beginning graduate students. It should be accessible to students with a strong background in linear algebra and a basic knowledge of abstract algebra.

Author : Hardy Yorick
Publisher : World Scientific
ISBN 13 : 9811202532
Total Pages : 388 pages
Book Rating : 4.37/5 ( download)

DOWNLOAD NOW!

Download or read book Matrix Calculus, Kronecker Product And Tensor Product: A Practical Approach To Linear Algebra, Multilinear Algebra And Tensor Calculus With Software Implementations (Third Edition) written by Hardy Yorick and published by World Scientific. This book was released on 2019-04-08 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our self-contained volume provides an accessible introduction to linear and multilinear algebra as well as tensor calculus. Besides the standard techniques for linear algebra, multilinear algebra and tensor calculus, many advanced topics are included where emphasis is placed on the Kronecker product and tensor product. The Kronecker product has widespread applications in signal processing, discrete wavelets, statistical physics, Hopf algebra, Yang-Baxter relations, computer graphics, fractals, quantum mechanics, quantum computing, entanglement, teleportation and partial trace. All these fields are covered comprehensively.The volume contains many detailed worked-out examples. Each chapter includes useful exercises and supplementary problems. In the last chapter, software implementations are provided for different concepts. The volume is well suited for pure and applied mathematicians as well as theoretical physicists and engineers.New topics added to the third edition are: mutually unbiased bases, Cayley transform, spectral theorem, nonnormal matrices, Gâteaux derivatives and matrices, trace and partial trace, spin coherent states, Clebsch-Gordan series, entanglement, hyperdeterminant, tensor eigenvalue problem, Carleman matrix and Bell matrix, tensor fields and Ricci tensors, and software implementations.