61. MathSeek.com - Site Profile For Linear And Multilinear Algebra Includes information on subscription...... Linear and multilinear algebra Site Profile. Title Linear and multilinear algebra. http://www.mathseek.com/profiles/9276.php

@import url(http://www.animationseek.com/style.css); Search Directory Forum Linear and Multilinear Algebra Site Profile Title: Linear and Multilinear Algebra Description: Includes information on subscription, paper submission, and table of contents. Url: http://www.csun.edu/~hcmth042/ Category: Science/Math/Algebra/Linear_Algebra Add / Update Url Become an Editor Link to Us ... MathSeek.com - Math Search Engine - Seeking Sites about Math,Applications,Education,Recreations,Statistics,Algebra,Analysis,Chaos,Fractals,Combinatorics,Differential,Equations,Geometry,Logic,Foundations,Number,Theory,Numerical,Analysis,Operations,Research,Precalculus. PhysicsSeek.com SocialScienceSeek.com TechnologySeek.net BaseballSeek.com ... MartialArtsSeek.com

62. Academic Linear multilinear algebra, 4, no.4 (1977). 285305. (United States). Linear multilinear algebra, 6, no.1 (1978) 73-82. (United States). http://www.math.nus.edu.sg/~matcgh/academic.htm

63. Publication List 27. (with WS Cheung) The Cnumerical range of matrices is star-shaped, Linear and multilinear algebra, 41 (1996) 245250. (with http://hkumath.hku.hk/~nkt/research/publication.html

Publications of Nam-Kiu Tsing (last updated: September, 2002) Journal articles (with C.K. Li and B.S. Tam) Linear maps preserving permutation and stochastic matrices, Linear Algebra and Its Applications (with G. Cheung) On star-centers of some generalized numerical ranges and diagonals of normal matrices, Linear Algebra and Its Applications (with J. Lam and H.K Tso) Robust deadbeat regulation, International Journal of Control (with C.K. Li and F.Z. Zhang) Norm hull of vectors and matrices, Linear Algebra and Its Applications (with W.S. Cheung) The C -numerical range of matrices is star-shaped, Linear and Multilinear Algebra (with C.K. Li and F. Uhlig) Numerical ranges of an operator on an infinite inner product space, Electronic Journal of Linear Algebra (with C.K. Li) Linear maps relating different unitary similarity orbits or different generalized numerical ranges, Linear Algebra and Its Applications (with M.K.H. Fan and E.I. Verriest) On analyticity of functions involving eigenvalues, Linear Algebra and its Applications (with A. Tits) When is the multiaffine image of a cube a convex polygon?

64. Multilinear Algebra Article on multilinear algebra from WorldHistory.com, licensed from Wikipedia, the free encyclopedia. Return Index multilinear algebra. http://www.worldhistory.com/wiki/m/multilinear-algebra.htm

World History (home) Encyclopedia Index Localities Companies Surnames ... This Week in History Multilinear algebra Multilinear algebra in the news 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 space s, 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 field s". 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 multilinear algebra was probably coined there.

65. [math/9912231] Q-multilinear Algebra 2119 GMT (10kb) Qmultilinear algebra. Authors A. Isaev, O.Ogievetsky, P.Pyatov Comments LaTeX, 12 pages. Lecture given at the http://arxiv.org/abs/math.QA/9912231

Mathematics, abstract math.QA/9912231 From: Pyatov Pavel [ view email ] Date: Thu, 30 Dec 1999 17:21:19 GMT (10kb) Q-multilinear Algebra Authors: A. Isaev O.Ogievetsky P.Pyatov 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 Report-no: Preprint CPT-99/P3880 Subj-class: Quantum Algebra MSC-class: 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. Full-text: PostScript PDF , or Other formats References and citations for this submission: CiteBase (autonomous citation navigation and analysis) Which authors of this paper are endorsers?

66. Untitled Document Back. 646 multilinear algebra. multilinear algebra. Tensor algebra. Tensor products. Exterior algebra. Symmetric algebra. Graded algebra. Other courses http://www.kaau.edu.sa/faculties/science/math/646.htm

Back 646 Multilinear Algebra Multilinear algebra. Tensor algebra. Tensor products. Exterior algebra. Symmetric algebra. Graded algebra. Other courses: Math 601 Math Math 603 Math 604 ... Math 693 © 2003 Mathematics Department - King Abdul Aziz University

67. Algebra --  Encyclopædia Britannica polynomial; Common roots of two polynomials; Two simultaneous equations; Linear systems. Linear and multilinear algebra Linear algebra http://www.britannica.com/eb/article?eu=120643

68. Algebra --  Encyclopædia Britannica Linear and multilinear algebra. Linear algebra. Common roots of two polynomials; Two simultaneous equations; Linear systems. Linear and multilinear algebra http://www.britannica.com/eb/article?eu=120645&tocid=76860&query=matrix&ct=

69. JORMA MERIKOSKEN KOTISIVU/JORMA MERIKOSKI'S HOME PAGE Linear and multilinear algebra 6 (1978), 5154. RZ 12A607/1978, Zbl 38815014, MR 5810970. Linear and multilinear algebra 9 (1981), 341-344. http://www.uta.fi/~jkm/julkaisu.htm

Tieteelliset julkaisut/Scientific publications Jorma Merikoski Acta Univ. Tamper. A 70 Zbl MR Mathematica (Cluj) Zbl MR RZ 4. Some notes on absolute norms. Dept. of Math. Sciences, Univ. of Tampere, Report A10, 1977, 1-5. Linear and Multilinear Algebra RZ Zbl MR 6. On a lower bound for the Perron eigenvalue. BIT Zbl RZ MR 7. (+Hilkka Lamminsivu) A comparison of bounds for the Perron eigenvalue and eigenvector. Dept. of Math. Sciences, Univ. of Tampere, Report A 46, 1980, 1-20. Linear and Multilinear Algebra RZ Zbl MR 9. O submultiplikativnosti nekotoryh norm matrits. Z.Vychisl. Mat. i Mat. Fiz. RZ MR Zbl English translation: On the submultiplicativeness of some matrix norms. U.S.S.R. Comput. Math. Math. Phys. Zbl 10. On operator norms of submatrices. Linear Algebra Appl. Zbl RZ MR 11. (+Ron Adin, Kam-chuen Ng, Yan-loi Wong) Solution to Problem E 2847. Amer. Math. Monthly 12. On the Rayleigh quotient of a nonnegative matrix. - Festschrift for Eino Haikala on his 75th Birthday. Acta Univ. Tamper. MR 13. (+Tarmo Pukkila) A note on the expectation of products of autocorrelations. Biometrika Zbl MR Amendment: Biometrika 14. (+George P.H. Styan, Henry Wolkowicz) Bounds for ratios of eigenvalues using traces.

70. Multilinear Algebra 2.2 multilinear algebra. The Detail of This Chapter.pdf . http://krsna.lamost.org/mathematics/algebra/multilinear_algebra.htm

2.2 Multilinear Algebra The Detail of This Chapter.pdf

71. Research Project Multilinear Algebra: Concepts, Algortihms And Applications. ... COSIC. Title multilinear algebra concepts, algortihms and applications. Identification of genetic networks. Project summary Making http://www.kuleuven.ac.be/research/researchdatabase/project/3E00/3E000279.htm

Home Research activities Research groups Key domains ... Nederlands K.U.Leuven IWETO-researchdatabase Research project Person in charge of the project: DE MOOR BART , member of research team Afdeling ESAT - SISTA/COSIC Title: Multilinear algebra: concepts, algortihms and applications. Identification of genetic networks. Project summary: Making use of gene expression data (mostly obtained using micro arrays), advanced machine learning techniques (such as least squares support vector machines and artificial neural nets) and information theory, methodes are developed to model the genetic interactions underlying the gene expression data. Project number: Duration of the project: Funded research Nederlands Christelle Maeyaert Most recent update :01.03.2004 URL: http://www.kuleuven.ac.be/research/researchdatabase/project/3E00/3E000279.htm

72. Pub.html 343. pdf file; Generalized Schurconcave functions and Eaton triples, Linear and multilinear algebra, 50 (2002) 113-120. pdf file; http://www.auburn.edu/~tamtiny/pub.html

Publication list of Tin-Yau Tam Papers submitted for publication: Additive compound matrices and representation gl(n,C), 10 pages pdf file Some inequalities for the exponentials, 14 pages pdf file Tin-Yau Tam and Wen Yan, Generalization of Ky Fan-Amir-Moez-Horn-Mirsky's result of the eigenvalues and real singular values of a matrix, 10 pages pdf file Charles L. Dolberry and Tin-Yau Tam, Generalization of Ky Fan's dominance theorem and some results of So and Zietak, 16 pages pdf file Tin-Yau Tam and William C. Hill, Derivatives of orbital functions, an extension of Berezin-Gelfand's theorem and applications, 21 pages pdf file The q-numerical range and the real q-numerical range of the shifts, 7 pages. ps file Plotting the generalized numerical ranges associated with the compact classical groups, 37 pages ps file Generalized numerical ranges, numerical radii, and Lie groups, 35 pages. ps file Papers appeared or to appear in refereed journals: Chi-Kwong Li and Tin-Yau Tam, Operator properties of T and K(T), 19 pages, to appear in Linear Algebra and Its Applications pdf file Gradient flows and double bracket equations, Differential Geometry and Applications 20 (2004) 209-224.

73. John Voight: Math 250B John Voight. I am the GSI for multilinear algebra, Math 250B, for Spring 2003. Course Info This course info is copied from the course announcement. http://math.berkeley.edu/~jvoight/250B/

John Voight I am the GSI for Multilinear Algebra, Math 250B, for Spring 2003. Course Info: This course info is copied from the course announcement Course: Multilinear Algebra Instructor: Ken Ribet Lectures: Tuesday and Thursday, 12:40 p.m. - 2:00 p.m. Room: 81 Evans Hall Instructor's Office: 885 Evans Instructor's Email: ribet@math.berkeley.edu GSI: John Voight GSI's Office: 853 Evans GSI's Email: jvoight@math.berkeley.edu GSI's Office Hours: To be announced GSI's Web Page: http://www.math.berkeley.edu/~jvoight/ Prerequisites: Math 250A or an equivalent course, or permission of the instructor. Syllabus: This course is a continuation of Math 250A. We will discuss such topics as infinite Galois theory, tensor products, multilinear algebra, homological agebra, rings with chain condition, ... . Required Text: Serge Lang, Algebra , Revised third edition. Grading: As usual, the final grade will be based on the homework and on whatever exams are given. Homework: Homework 1 Solutions (January 30) Homework 2 Solutions (February 6) Homework 3 Solutions (February 13) Homework 4 Solutions (February 20) Homework 5 Solutions (March 6) Homework 6 Solutions (March 18) Homework 7 Solutions (April 1) Homework 8 Solutions (April 10) Homework 9 Solutions (May 15) Anonymous Comment: You can read the comments that have were submitted during the course.

74. Lieven De Lathauwer S Home Page The theme of my research is signal processing based on multilinear algebra. multilinear algebra is the algebra of higherorder tensors. http://www-etis.ensea.fr/~lathauwr/

75. KOPS-Datenbank System. Mathematics Subject Classification 1991. 15XX Linear and multilinear algebra; matrix theory {(finite and infinite)} ( 0 Dok.). http://www.ub.uni-konstanz.de/kops/msc_ebene2.php?zahl=15&anzahl=0

76. David Richman's Publications matrices. Linear and multilinear algebra 21 (1987), no. 2, 181189. matrices. Linear and multilinear algebra 22 (1987), no. 2, 171192. http://www.math.sc.edu/~filaseta/richman/richmanpubl.html

Publications of David Ross Richman The publications of David Ross Richman are listed below in reverse chronological order. More material here related to his unpublished works is expected in the near future. The list below was obtained with the help of a MathSciNet search and all links below (including Math Reviews) will provide the corresponding information from MathSciNet. You can only access these links if your location has an account with them. Richman, David R. Explicit generators of the invariants of finite groups. Adv. Math. (1996), no. 1, 4976. (Reviewer: Frank D. Grosshans) Richman, David R. Invariants of finite groups over fields of characteristic $p$. Adv. Math. (1996), no. 1, 2548. (Reviewer: Frank D. Grosshans) Filaseta, Michael A. Richman, David R. Sets which contain a quadratic residue modulo $p$ for almost all $p$. Math. J. Okayama Univ. (1989), 18. (Reviewer: Klaus Burde) Richman, David Sharp, W. E. A method for determining the reversibility of a Markov sequence. Math. Geol. (1990), no. 7, 749761. Richman, David R.

77. Felix.unife.it/Root/d-Mathematics/d-Algebra/b-Multilinear-algebra Graph Theory White Pages Kirkland, Steve connectivity for graphs. (with Pati, Sukanta) Linear multilinear algebra 50 (2002) 253284 05C50; The perturbed Laplacian matrix of a graph. http://felix.unife.it/Root/d-Mathematics/d-Algebra/b-Multilinear-algebra

2710 Nicolas Bourbaki: Algebra I. Chapters 1-3. Springer 1989. I. Gelfand/M. Kapranov/A. Zelevinsky: Discriminants, resultants and multidimensional determinants. Birkhaeuser 1994. DM 138. W. Greub: Multilinear algebra. Springer. 1646 Harald Holmann/Hansklaus Rummler: Alternierende Differentialformen. Bibl. Inst. 1981. R. Merris: Multilinear algebra. Taylor and Francis 1997, 340p. $95. 1944 Guenther Pickert: Lineare Algebra. Enz. math. Wiss. I/1/2, Heft 3/1. 2739 Ian Porteous: Topological geometry. Cambridge UP 1981. [2907] -2740 P. Raschewski: Riemannsche Geometrie und Tensoranalyis. Berlin 1959. [2907] 1589 Guenter Scheja/Uwe Storch: Lehrbuch der Algebra. 3 volumes. Teubner 1980. J. Simmonds: A brief of tensor analysis. Springer 1993, 100p. 3-540-94088-X. DM 69.

78. Fuzhen Zhang's Web Home Page J. of Math. Physics; Linear Algebra and Its Applications (LAA); Linear and multilinear algebra (LAMA); American Mathematical Monthly; http://www.nova.edu/~zhang/Edu.html

Education, Teaching, Research, and Service Ph. D. in Mathematics, 1993 University of California at Santa Barbara (UCSB) Advisor: R. C. Thompson M.S. in Mathematics, 1987 Beijing Normal University (BNU) Advisor: B.-Y. Wang B.S. in Mathematics, 1982 Shenyang Normal University Mentor: X.-R. Yin Chinese version of Marcus and Minc's famous book A Survey of Matrix Theory and Matrix Inequalities translated by F. Zhang and J.-P. Du, Dalian University of Technology Press, 1990. ISBN 7-5611-0273-9/O.49 Linear Algebra: Challenging Problems for Students , Johns Hopkins Studies in Mathematical Sciences. Sciences: Applied Mathematics This is a collection of 200 interesting and challenging problems in linear algebra and matrix theory, published by the Johns Hopkins University Press (JHUP) in late 1996. 176pp. ISBN 0-8018-5458-X, 0-8018-5458-8 E-mail: books@mail.press.jhu.edu http://www.press.jhu.edu/press/index.htm Fax: (410)516-6998 Matrix Theory: Basic Results and Techniques Springer-Verlag, 1999. A text or supplement for senior or graduate students. Also serves as a reference for instructors and researchers in the field of matrix theory and linear algebra.

79. Unit Description LMLA Linear and multilinear algebra. Unit aims. To give students a rigorous account of vector spaces and matrices and to introduce them to multilinear algebra. http://www.maths.bris.ac.uk/~madhg/unitinfo/1996-7/l2_units/linmulti.htm

80. En101 631. multilinear algebra Free vector spaces. Multilinear (alternative, antisymmetric) maps. Tensor product of two (or more) vector spaces. http://www.math.uoa.gr/~web/english/under/courses/kthm/631.html

631. Multilinear Algebra Free vector spaces. Multilinear (alternative, antisymmetric) maps. Tensor product of two (or more) vector spaces. p-tensor power of a vector space. Tensor Algebra of a vector space. The conjugate space of a tensor product spase and its relation with the conjugate spaces of the factors. p-tensor power and tensor extension of a linear map p-exterior power of a vector space. The exterior algebra (Grassmann algebra) of a vector space. Determinants.

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