by Steven J Cox
Publisher: Rice University 2012
Number of pages: 98
Under the influence of Bellman and Kalman engineers and scientists have found in matrix theory a language for representing and analyzing multivariable systems. Our goal in these notes is to demonstrate the role of matrices in the modeling of physical systems and the power of matrix theory in the analysis and synthesis of such systems.
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by Andrew Stuart, Jochen Voss - CaltechAUTHORS
An introduction to matrix analysis, and to the basic algorithms of numerical linear algebra. Contents: Vector and Matrix Analysis; Matrix Factorisations; Stability and Conditioning; Complexity of Algorithms; Systems of Linear Equations; etc.
by Autar K Kaw - University of South Florida
This book is written primarily for students who are at freshman level or do not take a full course in Linear/Matrix Algebra, or wanting a contemporary and applied approach to Matrix Algebra. Eight chapters of the book are available for free.
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The authors introduce a new type of product on matrices called the natural product Xn - an extension of product in the case or row matrices of the same order. When two matrices of same order can be added, nothing prevents one from multiplying them.
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Random matrix theory is at the intersection of linear algebra, probability theory and integrable systems, and has a wide range of applications. The book contains articles on random matrix theory such as integrability and free probability theory.