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Multilinear Algebra: more books (100)

An introduction to elements of multilinear algebra (Texas Technological College, Lubbock, Texas. Dept. ofMathematics. Mathematics series) by A. R Amir-MoeÌz, 1969
Tensor Spaces and Exterior Algebra (Translations of Mathematical Monographs) by Takeo Yokonuma, 1992-12
Trace Diagram: Mathematics, Linear Algebra, Multilinear Algebra, Cayley?Hamilton Theorem, Penrose Graphical Notation, Multilinear Map, Gain Graph, List of Vector Identities
Tensor (intrinsic definition): Mathematics, Abstract Object, Linear Algebra, Multilinear Algebra, Homological Algebra, Physical Property, Tensor Product, Rank (linear algebra), Differentiable Manifold
Exterior Algebra: Exterior Algebra. Geometric algebra, Symmetric algebra, Clifford algebra, Weyl algebra, Multilinear algebra, Tensor algebra
Applied Mathematics Body and Soul, Volume 3: Calculus in Several Dimensions by Kenneth Eriksson, Donald Estep, et all 2003-12-05
Tensor Analysis and Nonlinear Tensor Functions by Yuriy I. Dimitrienko, 2010-11-02
Algebraic Homogeneous Spaces and Invariant Theory (Lecture Notes in Mathematics) by Frank D. Grosshans, 1997-12-04
Differential Equations: An Introduction with Mathematica® (Undergraduate Texts in Mathematics) by Clay C. Ross, 2010-11-02
The Four Pillars of Geometry (Undergraduate Texts in Mathematics) by John Stillwell, 2010-11-02
The Method of Approximate Inverse: Theory and Applications (Lecture Notes in Mathematics) by Thomas Schuster, 2007-06-12
Matrix-Based Multigrid: Theory and Applications (Numerical Methods and Algorithms) by Yair Shapira, 2010-11-02
Linear Functions and Matrix Theory (Textbooks in Mathematical Sciences) by Bill Jacob, 1995-03-30
Multilinear trif mappings in Banach modules over a C*-algebra *.: An article from: Tamsui Oxford Journal of Mathematical Sciences by Chun-Gil Park, 2007-12-01

lists with details

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
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
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

Extractions: (last updated: September, 2002) (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?
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

Extractions: World History (home) Encyclopedia Index Localities Companies Surnames ... This Week in History 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. 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.
[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

Extractions: 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. References and citations for this submission:
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
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
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=
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

Extractions: Tieteelliset julkaisut/Scientific publications 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.
Multilinear Algebra
2.2 multilinear algebra. The Detail of This Chapter.pdf .
http://krsna.lamost.org/mathematics/algebra/multilinear_algebra.htm
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

Extractions: 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:
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

Extractions: 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.
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/

Extractions: 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:
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/
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
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

Extractions: 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)
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

Extractions: 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.
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
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
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

Extractions: 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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