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Linear Algebra Research Advances
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Editors: Gerald D. Ling
Book Description:
Linear algebra is the branch of mathematics concerned with the study of vectors, vector spaces (also called linear spaces), linear maps (also called linear transformations), and systems of linear equations. Vector spaces are a central theme in modern mathematics; thus, linear algebra is widely used in both abstract algebra and functional analysis. Linear algebra also has a concrete representation in analytic geometry and it is generalized in operator theory. It has extensive applications in the natural sciences and the social sciences, since nonlinear models can often be approximated by linear ones.

Table of Contents:
Preface

Chapter 1 - Lattice Orders on Sums of Finite-Dimensional Matrix Algebras; pp. 1-16
(Jingjing Ma, Dena Stelly, Dept. of Mathematics, Univ. of Houston at Clear Lake, Houston, TX, R.H. Redfield, Dept. of Mathematics, Hamilton College, Clinton, NY)

Chapter 2 - Invariants of Nine Dimensional Real Lie Algebras with Nontrivial Levi Decompostion; pp. 17-92
(R. Campoamor-Stursberg, Dept. Geometr'ia y Topolog'ia, Univ. Complutense de Madrid, Plaza de Ciencias, Madrid)

Chapter 3 - Linear Algebra over Commutative Rings applied to Control Theory; pp. 93-131
(Miguel V. Carriegos, Univ. de Le Spain)

Chapter 4 - Normal Forms and Tensor Ranks of Pure States of Four Qubits; pp. 133-167
(Oleg Chterental and Dragomir Djokovic, Univ. of Waterloo, Dept. of Pure Mathematics, Waterloo, Canada)

Chapter 5 - The Polytopes of the Orthogonal Latin Squares;
pp. 169-201
(D. Magos, Dept. of Informatics, Technological Eduational Institute of Athens, Egaleo, Greece)

Chapter 6 - The Laplacian Eigenvalues of Graphs: A Survey;
pp. 203-230
(Xiao-Dong Zhang, Dept. of Mathematics, Shanghai Jian Tong Univ., P.R. China)

Chapter 7 - Recent Results on the Generalized Inverse A(2);
pp. 231-250
(School of Mathematical Sciences, Fudan Univ., Shanghai, P.R. China, Key Laboratory of Mathematics for Nonlinear Sciences (Fudan Univ.), Ministry of Education)

Chapter 8 - A New Preconditioned AOR Iterative Method for L-Matrices; pp. 251-261
(Yao-tang Li, Cui-xia Li, Dept. of Mathematics, Yunnan Univ., Kunming, Yunnan, P.R. China)

Chapter 9 - Numerical Solution of Principal Eigenvectors of Stochastic Matrices; pp. 263-291
(Ivana Pultarov'a, Dept. of Mathematics, Faculty of Civil Engineering, Czech Technical Univ. in Prague, Czech Republic)

Chapter 10 - Generalized Gegenbauer Matrix Polynomials; pp. 293-307
(Raed S. Batahan, Dept. of Mathematics, Faculty of Science, Hadhramout Univ. of Science and Technology, Mukalla, Hadhramout, Yemen)

Index

   Binding: Hardcover
   Pub. Date: 2007
   ISBN: 1-60021-818-0
   Status: AV
  
Status Code Description
AN Announcing
FM Formatting
PP Page Proofs
FP Final Production
EP Editorial Production
PR At Prepress
AP At Press
AV Available
  
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Linear Algebra Research Advances