1. Multilinear Algebra - Wikipedia, The Free Encyclopedia In mathematics, multilinear algebra extends the methods of linear algebra. Just as linear algebra is built on the concept of a vector and develops the http://en.wikipedia.org/wiki/Multilinear_algebra

Multilinear algebra From Wikipedia, the free encyclopedia Jump to: navigation search In mathematics multilinear algebra extends the methods of linear algebra . Just as linear algebra is built on the concept of a vector and develops the theory of vector spaces , multilinear algebra builds on the concept of a tensor and develops the theory of 'tensor spaces'. In applications, numerous types of tensors arise. The theory tries to be comprehensive, with a corresponding range of spaces and an account of their relationships. Contents Historical background of the approach to multilinear algebra Conclusion on the abstract approach Topics in multilinear algebra From the point of view of applications ... edit Historical background of the approach to multilinear algebra The subject itself has various roots going back to the mathematics of the nineteenth century, in what was then called tensor analysis , or the " tensor calculus of tensor fields ". It developed out of the use of tensors in differential geometry general relativity , and many branches of applied mathematics . Around the middle of the 20th century the study of tensors was reformulated more abstractly. The Bourbaki group's treatise Multilinear Algebra was especially influential — in fact the term multilinear algebra was probably coined there.

2. Mathematical Atlas: A Gateway To Mathematics Application of exterior algebras to generalize the factorization of adj(X) when X is singular; Current research trends in multilinear algebra http://www.math-atlas.org/index/15-XX.html

Mathematical Atlas: A gateway to Mathematics: None None Mathematical Atlas: A gateway to Mathematics

3. The Math Forum - Math Library - Multilinear Algebra The Math Forum s Internet Math Library is a comprehensive catalog of Web sites and Web pages relating to the study of mathematics. This page contains sites http://mathforum.org/library/topics/multilinear/

Browse and Search the Library Home Math Topics Algebra : Multilinear Algebra Library Home Search Full Table of Contents Suggest a Link ... Library Help Selected Sites (see also All Sites in this category Linear and Multilinear Algebra; Matrix Theory (Finite and Infinite) - Dave Rusin; The Mathematical Atlas A short article designed to provide an introduction to linear and multilinear algebra and matrix theory. As presented to engineers and as the subject of much numerical analysis, this subject is Matrix Theory. To an algebraist or geometer, it is the theory of Vector Spaces. Linear algebra, sometimes disguised as matrix theory, considers sets and functions which preserve linear structure. In practice this includes a very wide portion of mathematics; thus linear algebra includes axiomatic treatments, computational matters, algebraic structures, and even parts of geometry; moreover, it provides tools used for analyzing differential equations, statistical processes, and even physical phenomena. History, applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. more>> All Sites - 3 items found, showing 1 to 3

4. ICIAM '07 Minisymposium. Numerical Multilinear Algebra — A New Beginning This minisymposium focuses on the development of numerical algorithms for multilinear algebra — a topic that is expected to have farreaching applications http://multilinear.stanford.edu/

ICIAM '07 Minisymposium. Numerical Multilinear Algebra: a new beginning Minisymposium Number: IC/MP/015/E/307 Synopsis Numerical Multilinear Algebra is not as yet in common usage. We broadly define this as the study and use of tensors/multilinear algebra, symmetric tensors/symmetric algebra, alternating tensors/exterior algebra, spinors/Clifford algebra in computational mathematics. A fundamental object of interest will be tensors. An order- k tensor may be either regarded as (1) a k -dimensional array of real/complex numbers on which algebraic operations generalizing analogous operations on matrices are defined, or (2) a linear combination of outer products of vectors. A matrix is then synonymous with a tensor of order 2. Special types of tensors such as symmetric and alternating tensors (arising from, say, cumulants and differential forms), Kronecker products of operators, are also of central importance. More specifically, this minisymposium will focus on numerical computations involving these multilinear objects, their surprising connections to questions regarding computational complexity and numerical stability, as well as the growing importance and increasing ubiquity of multilinearity in scientific and engineering applications. This minisymposium is to be held as a part of the 6th International Congress on Industrial and Applied Mathematics (ICIAM 2007), which takes place quadrennially and is the biggest event in applied mathematics. ICIAM 2007 will be held at the

5. IngentaConnect Publication: Linear And Multilinear Algebra Linear and multilinear algebra. ISSN 03081087. Taylor and Francis Ltd logo. Publisher Taylor and Francis Ltd. 25 issues are available electronically http://www.ingentaconnect.com/content/tandf/glma

Home About Ingenta Ingenta Labs Ingenta Blog ... Check our FAQs Or contact us to report problems with: Subscription access Article delivery Registration Library administrator tasks ... Other problems For Publishers Why go online? Why choose IngentaConnect? Beyond Print: enhancing your service Access and authentication ... Contact us For Researchers For Authors About IngentaConnect Search and browse Publications available ... Register For Librarians Resource Zone Why choose IngentaConnect? Why choose IngentaConnect Complete? Activating Subscriptions ... Register CM8ShowAd("HorizontalBanner"); Linear and Multilinear Algebra ISSN 0308-1087 Publisher: Taylor and Francis Ltd issues are available electronically Key: - Free Content - New Content - Subscribed Content - Free Trial Content CM8ShowAd("Skyscraper"); Volume 55 Number 5, September 2007 Number 4, July 2007 Number 3, May 2007 Volume 54 Number 6, December 2006 Number 4, July 2006 Number 3, Number 3/June 2006 Number 2, Number 2/March 2006 Volume 53 Number 3, June 2005 Number 2, March 2005 Number 1, January-February 2005 Volume 52 Number 6, November-December 2004

6. Taylor & Francis Journals: Welcome This journal publishes original research papers that advance the study of linear and multilinear algebra, or that apply the techniques of linear and http://www.tandf.co.uk/journals/titles/03081087.html

Contact Us Careers Members of the Group All Products Books Journal Article eBooks Alphabetical Listing Journals by Subject New Journals Authors' Newsletter ... eBooks document.title = 'Linear and Multilinear Algebra'; Journal Details Linear and Multilinear Algebra Volume Number: 56 Frequency: 6 issues per year Print ISSN: 0308-1087 Online ISSN: 1563-5139 Subscribe Online Free Sample Copy Table of Contents Alerting View Full Pricing Details 2006 Impact Factor: 0.310 © Journal Citation Reports®, Thomson Scientific, 2007 This journal publishes original research papers that advance the study of linear and multilinear algebra, or that apply the techniques of linear and multilinear algebra in other branches of mathematics and science. Linear and Multilinear Algebra also publishes research problems, survey articles and book reviews of interest to researchers in linear and multilinear algebra. Appropriate areas include, but are not limited to: spaces over fields or rings tensor algebras nonnegative matrices inequalities in linear algebra combinatorial matrix theory numerical linear algebra representation theory Lie theory invariant theory and operator theory The audience for Linear and Multilinear Algebra includes both industrial and academic mathematicians.

7. Linear And Multilinear Algebra New Issue Alert New issues of Linear and multilinear algebra will trigger an alert iFirst Alert - New iFirst articles in Linear and multilinear algebra http://www.informaworld.com/smpp/title~content=t713644116

Skip over navigation HOME ABOUT US CONTACT US ... LIBRARIANS Search entire site Publication Names ISSN/ISBNs Subject Names Author Names Title/Kwds/Abstract Explore informaworld Journals eBooks Reference Works Allied Health Anthropology Area Studies Arts Behavioral Sciences Bioscience Built Environment Chemistry Communication Studies Computer Science Cultural Studies Dentistry Development Studies Earth Sciences Education Arena Ergonomics Food Science Geography History Law Literature, Language and Linguistics Medicine Pharmaceutical Science Philosophy Physics Religion Social Work Toxicology Urban Studies Browse Publications A-Z Browse ... Got a Voucher? Username: Password: athens sso forgotten password? hide informaworld HOME SEARCH BROWSE Issues List ... Subscribe Recommend Mark Alert Link Print hide Please choose the type of alert you would like: New Issue Alert New issues of Linear and Multilinear Algebra will trigger an alert iFirst Alert New iFirst articles in Linear and Multilinear Algebra will trigger an alert Note: To be alerted to new content in all related publications, please click on one of the subject areas below and select create alert hide Search within this journal About this Journal Related Journals Society Information What is iFirst?

8. Linear And Multilinear Algebra Linear and multilinear algebra Editorin-Chief William Watkins Published By Taylor Francis Print ISSN 0308-1087 Online ISSN 1563-5139 http://www.combinatorics.net/journals/jhomes/LinMulAlg.html

Journals in Combinatorics and Related Fields Linear and Multilinear Algebra Editor-in-Chief: William Watkins Print ISSN: 0308-1087 Online ISSN: 1563-5139 Description This journal publishes research papers, research problems, expository or survey articles at the research level, and reviews of selected research-level books or software in linear and multilinear algebra and cognate areas. Appropriate areas include spaces over fields or rings, tensor algebras or subalgebras, nonnegative matrices, inequalities in linear algebra, combinatorial linear algebra, matrix numerical analysis, plus other areas including representation theory, Lie theory, invariant theory, and functional analysis. Linear and Multilinear Algebra is addressed to mathematicians in both industrial and academic worlds. Editorial Board Editor-in-Chief: William Watkins Department of Mathematics, California State University, Northridge, CA 91330, USA Associate Editors: S. Kirkland Department of Mathematics and Statistics, University of Regina, Regina, Saskatchewan, S4S 0A2, Canada C.-K. Li

9. Taylor & Francis Journals: Welcome The instructions below are specifically directed at authors that wish to submit a manuscript to Linear and multilinear algebra. For general information http://www.gbhap.com/journals/authors/glmaauth.asp

Contact Us Careers Members of the Group All Products Books Journal Article eBooks Alphabetical Listing Journals by Subject New Journals Authors' Newsletter ... eBooks document.title = 'Linear and Multilinear Algebra'; Journal Details Linear and Multilinear Algebra Volume Number: 56 Frequency: 6 issues per year Print ISSN: 0308-1087 Online ISSN: 1563-5139 Subscribe Online Free Sample Copy Table of Contents Alerting View Full Pricing Details Instructions for Authors The instructions below are specifically directed at authors that wish to submit a manuscript to Linear and Multilinear Algebra . For general information, please visit the Publish With Us section of our website. Linear and Multilinear Algebra considers all manuscripts on the strict condition that they have been submitted only to Linear and Multilinear Algebra , that they have not been published already, nor are they under consideration for publication or in press elsewhere. Authors who fail to adhere to this condition will be charged with all costs which Linear and Multilinear Algebra incurs and their papers will not be published.

10. Higher-Order Web Link Analysis Using Multilinear Algebra Your browser may not have a PDF reader available. Google recommends visiting our text version of this document. http://ieeexplore.ieee.org/iel5/10470/33217/01565685.pdf?tp=&isnumber=&arnumber=

11. CiteULike: Linear And Multilinear Algebra Linear and multilinear algebra, Vol. 55, No. 5. (September 2007), pp. 405415. by Goldberg, Moshe The semigroup generated by a unitary orbit of a singular http://www.citeulike.org/journal/tandf-glma

Register Log in FAQ Sponsored link CiteULike News Discussion Journals Browse current issues Groups Search groups Linear and Multilinear Algebra Radii and subnorms on finite-dimensional power-associative algebras Linear and Multilinear Algebra , Vol. 55, No. 5. (September 2007), pp. 405-415. by Goldberg Moshe The semigroup generated by a unitary orbit of a singular matrix Linear and Multilinear Algebra , Vol. 55, No. 5. (September 2007), pp. 417-428. by Radjavi Sourour Two generator subalgebras of Lie algebras Linear and Multilinear Algebra , Vol. 55, No. 5. (September 2007), pp. 429-438. by Bowman Kevin Towers David ... Uniform and minimal 0,1 - cp matrices Linear and Multilinear Algebra , Vol. 55, No. 5. (September 2007), pp. 439-456. by Berman Abraham Xu Changqing ... Maximizing Laplacian spectral radius over trees with fixed diameter Linear and Multilinear Algebra , Vol. 55, No. 5. (September 2007), pp. 457-461. by Lal Patra Zeros of complex homogeneous polynomials Linear and Multilinear Algebra , Vol. 55, No. 5. (September 2007), pp. 463-469. by Lourenco , Mary Lillian Tocha , Neusa Nogas On the pivot structure for the weighing matrix W(12,11)

12. Multilinear Algebra And Chess Endgames - Stiller (ResearchIndex) This article has three chief aims To show the wide utility of multilinear algebraic formalism for high performance computing. To describe an application of http://citeseer.ist.psu.edu/462698.html

13. Tensor And Multilinear Algebra Greub, W., Linear Algebra, SpringerVerlag, New-York, 4th edition, 1975. 7. Greub, W., multilinear algebra, Springer-Verlag, New York, 2nd Edition, 1978 http://portal.acm.org/citation.cfm?id=805331&coll=portal&dl=ACM

14. Http://www.sci.csuhayward.edu/~rmerris J. A. Dias da Silva, multilinear algebra recent applications, George W. Soules, Nonconvexity of the permanent, Linear multilinear algebra 42 (1997), http://www.sci.csuhayward.edu/~rmerris/mla.html

Multilinear Algebra ISBN 90-5699-078-0. Math. Reviews 98i:15002. Available from and Amazon.com Ideally suited for a fourth year undergraduate "capstone" course, Multilinear Algebra is also an attractive choice for a beginning graduate course and/or as a research reference. The first four chapters consist of self-contained introductions to those prerequisite notions beyond the standard third year undergraduate courses in abstract and linear algebra. Apart from applications to graph theory and the "excursion" into Invariant Theory, the use of Schur functions as a unifying vehicle in the final chapter may be of particular interest to combinatorialists. Contents Partitions (with Applications to Graphs) Inner Product Spaces (with Applications to Graphs) Permutation Groups (with Applications to Symmetry) Group Representation Theory Tensor Spaces Symmetry Classes of Tensors (with Applications to the Theory of Enumeration) Generalized Matrix Functions (with an Excursion into Invariant Theory) The Rational Representations of GL(n,C) (with Applications to Graphs) Please E-mail errata suggestions to the author: merris@csuhayward.edu

15. Multilinear Algebra: Definition And Much More From Answers.com multilinear algebra ( m lt lin r alj br ) ( mathematics ) The study of functions of several variables which are linear relative to each. http://www.answers.com/topic/multilinear-algebra

BodyLoad('s'); Results for multilinear algebra On this page: Select Article Sci-Tech Dict. Wikipedia Or search: - The Web - Images - News - Blogs - Shopping Sci-Tech Dictionary: multilinear algebra ′məl·tə′lin·ē·ər ′al·jə·brə mathematics ) The study of functions of several variables which are linear relative to each variable. ADVERTISEMENT InitForm('lookup1','autodiv1','down'); Library Arts Business Entertainment Food ... Wikipedia: multilinear algebra In mathematics multilinear algebra extends the methods of linear algebra . Just as linear algebra is built on the concept of a vector and develops the theory of vector spaces , multilinear algebra builds on the concept of a tensor and develops the theory of 'tensor spaces'. In applications, numerous types of tensors arise. The theory tries to be comprehensive, with a corresponding range of spaces and an account of their relationships. Historical background of the approach to multilinear algebra The subject itself has various roots going back to the mathematics of the nineteenth century, in what was then called tensor analysis , or the " tensor calculus of tensor fields ". It developed out of the use of tensors in

16. ScienceDirect - Advances In Mathematics : Multilinear Algebra Over Supersymmetri Your browser may not have a PDF reader available. Google recommends visiting our text version of this document. http://linkinghub.elsevier.com/retrieve/pii/S0001870898918163

Athens/Institution Login Not Registered? User Name: Password: Remember me on this computer Forgotten password? Home Browse My Settings ... Help Quick Search Title, abstract, keywords Author e.g. j s smith Journal/book title Volume Issue Page Advances in Mathematics Volume 145, Issue 1 , 15 July 1999, Pages 98-158 Abstract PDF (741 K) Related Articles in ScienceDirect There are no related articles for this article. View Record in Scopus Cited By in Scopus (0) doi:10.1006/aima.1998.1816 Regular Article Multilinear Algebra over Supersymmetric Rings Andrea Brini a , Francesco Regonati a and Antonio G. B. Teolis b a Mathematics Department, University of Bologna, Piazza di Porta San Donato, 5, 40127, Bologna, Italy b SSI, Comune di Bologna, Piazza Maggiore, 2, 40121, Bologna, Italy This investigation was supported by the University of Bologna, Funds for Selected Research Topics. Advances in Mathematics Volume 145, Issue 1 , 15 July 1999, Pages 98-158 Home Browse My Settings Alerts ... Elsevier B.V.

17. Multilinear Algebra (algebra) - Mathematics Dictionary And Research Guide multilinear algebra In mathematics, multilinear algebra extends the methods of linear algebra. Just as linear algebra is built on. http://www.123exp-math.com/t/01704141224/

The Language of Mathematics - Dictionary and Research Guide Provided by Search: Add to Favorites Multilinear algebra In mathematics, multilinear algebra extends the methods of linear algebra. Just as linear algebra is built on the concept of a vector and develops the theory of vector spaces, multilinear algebra builds on the concept of a tensor and develops the theory of 'tensor spaces'. Wikipedia and Wikis Multilinear algebra - Wikipedia http://en.wikipedia.org/wiki/Multilinear_algebra More topics about: Multilinear algebra Edit this page Add new links, rate and edit existing links, or make suggestions. - Staff Explore related topics: Hypercomplex number Outer product Spinor Pseudovector ... Hermann Weyl Some descriptions may have been derived in part from Princeton University WordNet or Wikipedia Last update: March 14, 2008

18. [math/9912231] Q-multilinear Algebra Qmultilinear algebra. Authors A. Isaev, O.Ogievetsky, P.Pyatov Comments LaTeX, 12 pages. Lecture given at the 3rd International Workshop on Lie Theory http://arxiv.org/abs/math/9912231

arXiv.org math Search or Article-id Help Advanced search All papers Titles Authors Abstracts Full text Help pages Full-text links: Download: PostScript PDF Other formats Citations CiteBase math new recent Mathematics > Quantum Algebra Title: Q-multilinear Algebra Authors: A. Isaev O.Ogievetsky P.Pyatov (Submitted on 30 Dec 1999) Abstract: The Cayley-Hamilton-Newton theorem - which underlies the Newton identities and the Cayley-Hamilton identity - is reviewed, first, for the classical matrices with commuting entries, second, for two q-matrix algebras, the RTT-algebra and the RLRL-algebra. The Cayley-Hamilton-Newton identities for these q-algebras are related by the factorization map. A class of algebras M(R,F) is presented. The algebras M(R,F) include the RTT-algebra and the RLRL-algebra as particular cases. The algebra M(R,F) is defined by a pair of compatible matrices R and F. The Cayley-Hamilton-Newton theorem for the algebras M(R,F) is stated. A nontrivial example of a compatible pair is given. Comments: LaTeX, 12 pages. Lecture given at the 3rd International Workshop on "Lie Theory and Its Applications in Physics - Lie III", 11 - 14 July 1999, Clausthal, Germany Subjects: Quantum Algebra (math.QA)

19. Numerical Multilinear Algebra And Its Applications Your browser may not have a PDF reader available. Google recommends visiting our text version of this document. http://www.springerlink.com/index/85H6W3252370J784.pdf

20. JSTOR Multilinear Algebra. This book is a valuable and important addition to the limited literature on multilinear algebra. Aside from the Bourbaki vol. http://links.jstor.org/sici?sici=0002-9890(196910)76:8<954:MA>2.0.CO;2-6

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