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Multilinear Algebra:     more books (100)

A Polynomial Approach to Linear Algebra (Universitext) by Paul A. Fuhrmann, 1996-06-20 Indefinite Linear Algebra and Applications by Israel Gohberg, Peter Lancaster, et all 2005-12-19 Matrix Calculus and Kronecker Product: A Practical Approach to Linear and Multilinear Algebra by Willi-Hans Steeb, Yorick Hardy, 2011-06-30 Basic Algebra and Advanced Algebra Set (Cornerstones) by Anthony W. Knapp, 2008-02-13 Multilinear Algebra: Bivector Finite Dimensional Multilinear Algebra, Part II. (Monographs and Textbooks in Pure and Applied Mathematics,, Volume 23) by Marvin Marcus, 1975 Linear and multilinear algebra by Ralph Abraham, 1966 Linear and Multilinear Algebra, Volume 57, Number 6, September 2009 Matrix Operations for Engineers and Scientists: An Essential Guide in Linear Algebra by Alan Jeffrey, 2010-09-13 Introduction to Vectors and Tensors Volume 1: Linear and Multilinear Algebra (Mathematical Concepts and Methods in Science and Engineering) Lineare Algebra (Springer-Lehrbuch) (German Edition) by Gilbert Strang, 2003-03-12 Mathematik für das erste Semester: Analysis und Lineare Algebra für Studierende der Ingenieurwissenschaften (German Edition) by Mike Scherfner, Torsten Volland, 2011-06-01 Linear Algebra for Everyone (Unitext / La Matematica Per Il 3+2) by Lorenzo Robbiano, 2011-01-14 LINEAR & MULTILINEARALGEBRA by MARCUS, 1986

lists with details

41. 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 More material here related to his unpublished works is expected in the near future.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)

42. EEVL | Mathematics Section | Subject Classification A To Z
    Institutions; Learning Material; Lie groups go to Topological groups,lie groups; Linear and multilinear algebra; matrix theory; Lithuania  
    http://www.eevl.ac.uk/mathematics/atozmaths.htm
    
    Extractions: A B C D ... Z A Algebraic geometry Algebraic structures - go to Order, lattices, ordered algebraic structures Algebraic systems - go to General algebraic systems Algebraic topology Algebras - go to Associative rings and algebras Algebras - go to Commutative rings and algebras Analysis Analysis on manifolds - go to Global analysis, analysis on manifolds Applications to science and engineering Approximations and expansions Argentina Maths Departments and Institutions ... Associative rings and algebras Astronomy (applications to) - go to Astronomy and astrophysics Astrophysics (applications to) - go to Astronomy and astrophysics Australia Maths Departments and Institutions [top] B Barbados Maths Departments and Institutions Behavioural sciences (applications to) - go to Game theory, economics, social and behavioural sciences

43. Publications Of Mathematics Faculty With Undergraduates
    P. Meade**, C. Mehl, and L. Rodman, Normal Matrices and Polar Decompositions inIndefinite Inner Products, Linear and multilinear algebra 49 (2001), no.  
    http://www.math.wm.edu/~klsmit/udres.html
    
    Extractions: S.M. Henson, J. R. Reilly**, S. L. Robertson**, M. C. Schu**, E. W. Davis**, and J. M. Cushing, Predicting Irregularities in Population Cycles. Accepted by SIAM J. Applied Dynamical Systems. S. J. Schreiber and G. A. Tobiason*, The evolution of resource use. Accepted by the Journal of Mathematical Biology N. McCarthy*, D. Ogilvie*, V. Zobin, N. Zobin , Convex geometry of Coxeter-invariant polytopes, accepted by Contemp. Math. C. Hillar* and C. R. Johnson , Eigenvalues of words in two positive definite letter, accepted by SIAM J. Matrix Analysis Appl. C. R. Johnson , A. Leal-Duarte, C. Saiago, B. Sutton* and W. Witt*, On the relative position of multiple eigenvalues in the spectrum of an Hermitian matrix with a given graph, accepted by Linear Algebra Appl. S.W. Malone*, P. Tarazaga, and

44. Www.math.wm.edu/~jhdrew/vita2001.txt
    34, pp. 115. The Completely Positive and Doubly Nonnegative Completion Problems ,with CR Johnson, Linear and multilinear algebra, 1998, Vol. 44, pp. 85-92.  
    http://www.math.wm.edu/~jhdrew/vita2001.txt

45. Algebra, Number Theory And Cryptography Research Group, Univ. Of Calgary
    equations. Linear and multilinear algebra. Berndt Brenken. 15A72, 15A21. classification.Linear and multilinear algebra. Len Bos. 15A15.  
    http://www.math.ucalgary.ca/~cunning/algebra.html
    
    Extractions: Research at the Department of Mathematics Research category Researcher AMS subject classification Research topics Number theory Richard Guy Elementary prime number theory, factorization; Special numbers, sequences and polynomials (e.g. Bernoulli). Number theory Richard Mollin Elementary number theory; Quadratic and bilinear Diophantine equations; Algebraic number theory: global fields. Number Theory Clifton Cunningham Representation-theoretic methods - automorphic representations over local and global fields. Number Theory Renate Scheidler Arithmetic theory of algebraic function fields; Algebraic number theory computations; Algebraic coding theory. Number Theory Richard Guy Diophantine equations; Binomial coefficients; factorials; $q$-identities; Evaluation of constants; Fibonacci and Lucas numbers and polynomials and generalizations; Arithmetic functions; related numbers; inversion formulas; Representation problems; Primes in progressions Number theory Hugh Williams Computational number theory; Elementary number theory; Diophantine equations.

46. Sukanta
    2. Algebraic connectivity and the Characteristic Set of a Graph, WithRB Bapat, Linear and multilinear algebra, vol 45(1998), 247273.  
    http://www.iitg.ernet.in/scifac/pati/cv.html

47. Unit Description: LMLA
    Linear and multilinear algebra. Unit aims. To give students a rigorous accountof 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
    
    Extractions: Syllabus Unit number and title: MATH 21100 Linear and Multilinear Algebra Level: Credit point value: 20 credit points Year: First Given: before 1993 Lecturer/organiser: Dr. H. E. Rose Semester: 1 (weeks 1-12) Timetable: Tuesday 11.10am, Wednesday 12.10pm, Thursday 9.00am Prerequisites: Level 1 Linear Algebra To give students a rigorous account of vector spaces and matrices and to introduce them to multilinear algebra. In level 1 one meets the vector space n-dimensional Euclidean space and matrices with real coefficients. This unit starts with a more general, and so more abstract, account of vector spaces, linear transformations between them and matrices. This leads to the notions of eigenvalues and determinant of a matrix, the latter via exterior products - a first sight of multilinear algebra. The unit then progresses to the Cayley-Hamilton theorem and Jordan normal form of a matrix, which allow analysis of linear transformations, represented by matrices, by their effect on subspaces of a vector space. The unit concludes with a look at bilinear forms and normed spaces. During the unit several key notions from algebra (rings, fields and algebras) are introduced.

48. Unit Description: LMLA
    Linear and multilinear algebra. Unit number and title MATH 21100 Linearand multilinear algebra; Level 2; Credit point value 20 credit points;  
    http://www.maths.bris.ac.uk/~madhg/unitinfo/1997-8/l2_units/linalg2.htm
    
    Extractions: Texts and Syllabus Unit number and title: MATH 21100 Linear and Multilinear Algebra Level: Credit point value: 20 credit points Year: First Given: before 1993 Lecturer/organiser: Dr. M. Slater Semester: 2 (weeks 13-24) Timetable: Tuesday 2.00pm, Thursday 2.00pm, Friday 3.00pm; Problems Class Friday 4.10pm Prerequisites: Level 1 Linear Algebra To give a rigorous account of vector spaces and linear maps between them and of real and complex inner-product spaces. In Level 1 one meets n-dimensional real Euclidean space, matrices with real entries, and techniques for their manipulation. This unit is, by comparison, a more general, and so more abstract, investigation of vector spaces, linear transformations and matrices over an arbitrary field, and of bilinear and quadratic "forms" over R and C. The unit is "pure" in the sense that the emphasis is on insight rather than techniques, this insight being attained through careful use of definitions of the key concepts, and the formulation and proof of the key results. Lectures, problems to be done by the students, and solutions to these problems.

49. 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.

50. Michael Tsatsomeros' CV
    On the Spectra of Striped Sign Patterns. Linear and multilinear algebra,513948, 2003. Linear and multilinear algebra, 50 151-165, 2002.  
    http://www.sci.wsu.edu/math/faculty/tsat/cv.html
    
    Extractions: Supervisor: Prof. Ronald J. Stern. B.Sc., Mathematics, University of Patras , Greece - 1984. Matrix analysis, especially the theory of nonnegative matrices and their generalizations. Particular interests include the numerical range, graphs and patterns associated with matrices, numerical linear algebra, applications in dynamical systems and control theory. 8/01 - Associate Professor, Washington State Univ.

51. Citation
    Citation. ACM SIGAPL APL Quote Quad archive Volume 12 , Issue 1 (September1981) toc Tensor and multilinear algebra Also published in  
    http://portal.acm.org/citation.cfm?id=390007.805331&coll=portal&dl=ACM&idx=J46&p

52. Citation
    archive Proceedings of the 1990 ACM/IEEE conference on Supercomputing toc 1990, New York, New York multilinear algebra and parallel programming Authors RW  
    http://portal.acm.org/citation.cfm?id=507894&coll=portal&dl=ACM&CFID=11111111&CF

53. Publication List Of Yiu-Tung Poon
    Linear and multilinear algebra 37 (1994), no. 13, 221223. (Reviewer Chi-KwongLi) 15A60 (93B28). Linear and multilinear algebra 23 (1988), no. 4, 343351.  
    http://www.public.iastate.edu/~ytpoon/pub.html
    
    Extractions: [1] 1 809 764 Li, Chi-Kwong; Poon, Yiu-Tung Spectral inequalities and equalities involving products of matrices. Linear Algebra Appl. 323 (2001), no. 1-3, 131143. 15A42 (15A18) [2] 2001a:15029 Li, Chi-Kwong; Poon, Yiu-Tung Convexity of the joint numerical range. SIAM J. Matrix Anal. Appl. 21 (1999), no. 2, 668678 (electronic). (Reviewer: Hiroshi Nakazato) 15A60 [3] 98d:47098 Peters, Justin R.; Poon, Yiu Tung Lexicographic TAF algebras. Trans. Amer. Math. Soc. 349 (1997), no. 12, 48254855. (Reviewer: Baruch Solel) 47D25 (46L05) [4] 97i:47008 Li, Chi-Kwong; Poon, Yiu-Tung Some results on the $c$-numerical range. Five decades as a mathematician and educator, 247258, World Sci. Publishing, River Edge, NJ, 1995. (Reviewer: Pei Yuan Wu) 47A12 [5] 97g:15030 Poon, Yiu Tung Generalized numerical ranges, joint positive definiteness and multiple eigenvalues. Proc. Amer. Math. Soc. 125 (1997), no. 6, 16251634. (Reviewer: Yik-Hoi Au-Yeung) 15A60 (15A18 47A12) [6] 95j:15022 Poon, Yiu Tung On the convex hull of the multiform numerical range. Special Issue: The numerical range and numerical radius. Linear and Multilinear Algebra 37 (1994), no. 1-3, 221223. (Reviewer: Chi-Kwong Li) 15A60 (93B28) [8] 95d:47057 Poon, Yiu Tung; Ruan, Zhong-Jin Operator algebras with contractive approximate identities. Canad. J. Math. 46 (1994), no. 2, 397414. (Reviewer: Kenneth R. Davidson) 47D25 (46H25 46L05)

54. 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/
    
    Extractions: I obtained the Master's Degree in Electro-Mechanical Engineering in 1992 and the Doctoral Degree in Applied Sciences in 1997, both at the Katholieke Universiteit Leuven , Belgium. The research group in which I was active, is called SCD (SISTA) . In October 2000 I was recruited as Chargé de Recherche of the Centre National de la Recherche Scientifique (CNRS) . I am now working in the research group ETIS at Cergy-Pontoise, France. ETIS is associated with the Ecole Nationale Supérieure de l'Electronique et de ses Applications (ENSEA) and with the Université de Cergy-Pontoise The theme of my research is signal processing based on multilinear algebra. Multilinear algebra is the algebra of higher-order tensors. These are the higher-order equivalent of vectors (first order) and matrices (second-order). You can imagine them as multidimensional blocks of numbers. In recent years tensors started playing an important role on the signal processing scene. To a large extent this is due to the scientific boom in the discipline of higher-order statistics, where the basic quantities are higher-order tensors (analogy: mean of random vector = vector (1st order); covariance of random vector = matrix (2nd order)). The aim is to generalize concepts from (numerical) vector and matrix algebra to tensor algebra, and to use them as tools in signal processing. So far, I have investigated generalizations of the singular value decomposition / eigenvalue decomposition, the least-squares approximation of a given tensor by a tensor with pre-specified column rank, row rank, ..., and the least-squares approximation by a sum of possibly non-orthogonal rank-1 terms. This has led to new algorithms for independent component analysis, blind identification / deconvolution and factor analysis.

55. Conference Program Online
    Thursday, July 11. MS77 Numerical multilinear algebra and Its Applications.1030 AM 1230 PM Room Room 409 - Level 4. An increasing  
    http://www.siam.org/confpart/sess/dsp_programsess.cfm?SESSIONCODE=1401

56. S.J. Kirkland
    S. Kirkland and S. Fallat, Perron components and algebraic connectivity forweighted graphs , Linear and multilinear algebra 44 (1998), 131148.  
    http://www.math.uregina.ca/~kirkland/
    
    Extractions: University of Regina Department of Mathematics and Statistics Back to the University of Regina Mathematics and Statistics home page Professor, Ph.D. 1989 (Toronto) Field of Research. Matrix theory, directed and undirected graphs. Theory and applications of nonnegative matrices, with particular emphasis on tournament matrices, algebraic connectivity for graphs and Markov chains. Recent students. Selected Publications. S. Fallat, S. Kirkland and S. Pati, Minimizing algebraic connectivity over connected graphs with fixed girth , Discrete Mathematics, to appear. S. Kirkland, An upper bound on algebraic connectivity of graphs with many cutpoints , Electronic Journal of Linear Algebra 8 (2001), 94-109. S. Kirkland, and M. Neumann, Regular Markov chains for which the transition matrix has large exponent , Linear Algebra and its Applications 316 (2000), 45-65. S. Kirkland and S. Fallat, Perron components and algebraic connectivity for weighted graphs , Linear and Multilinear Algebra 44 (1998), 131-148.

57. Shaun M. Fallat's Home Page: Publications
    Maximum determinant of (0,1) matrices with certain constant row and columnsums (with P. van den Driessche), Linear and multilinear algebra Vol.  
    http://www.math.uregina.ca/~sfallat/pub.html
    
    Extractions: HOME RESEARCH TEACHING PAPERS TALKS LINKS Algebraic integers and the tensor product of matrices, Crux Mathematicorum, Vol. 22 No. 8, p. 341-343 (1996). Graph theoretic aspects of maximizing the spectral radius of nonnegative matrices (with D.D. Olesky , and P. van den Driessche Linear Alg. and Appl. Vol. 253: 61-77 (1997) Maximum determinant of (0,1) matrices with certain constant row and column sums (with P. van den Driessche), Linear and Multilinear Algebra Vol. 42:303-318 (1997) Eigenvalue location for nonnegative and Z-matrices (with C.R. Johnson R.L. Smith , and P. van den Driessche), Linear Alg. and Appl. Vol. 277:187-198 (1998). Perron components and algebraic connectivity for weighted graphs (with Steve Kirkland Linear and Multilinear Algebra Vol. 44 No. 2:131-148 (1998). Sub-direct sums and positivity classes of matrices (with C.R. Johnson), Linear Alg. and Appl. Vol. 288:149-173 (1999). Characterizations of product inequalities for principal minors of M-matrices and inverse M-matrices (with H.T. Hall and C.R. Johnson), Quart. J. Math.

58. My Free Samples Gallery - Multilinear Algebra And Chess Endgames - Powered By Ph
    multilinear algebra and Chess Endgames.  
    http://www.chess.documents.free.madster.com/p8214/

59. Browse MSC2000
    Linear and multilinear algebra; matrix theory. 1599, Linear and multilinear algebra;matrix theory finite and infinite not classified at a more specific level,  
    http://www.zblmath.fiz-karlsruhe.de/MATH/msc/zbl/msc/2000/15-XX/15A52/dir

60. MULTILINEAR ALGEBRA (in MARION)
    multilinear algebra. Records 1 to 1 of 1. Greub, Werner Hildbert, 1925 Multilinearalgebra by WH Greub. Berlin, New York etc. Springer Verlag, 1967.  
    http://vax.vmi.edu/MARION?S=MULTILINEAR ALGEBRA

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