Matrix Analysis and Algorithms
by Andrew Stuart, Jochen Voss
Publisher: CaltechAUTHORS 2009
Number of pages: 108
The book contains 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; Iterative Methods; Least Squares Problems; Eigenvalue Problems.
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by W. B. Vasantha Kandasamy, Florentin Smarandache - arXiv
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.
by R. Kochendörfer - Teubner
Basic methods and concepts are introduced. From the table of contents: Preliminaries; Determinants; Matrices; Vector spaces. Rank of a matrix; Linear Spaces; Hermitian/Quadratic forms; More about determinants and matrices; Similarity.
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The book derives the fundamental theorems on the asymptotic behavior of eigenvalues, inverses, and products of banded Toeplitz matrices and Toeplitz matrices with absolutely summable elements. Written for students and practicing engineers.
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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.