Notes on Numerical Linear Algebra
by George Benthien
Number of pages: 72
Tutorial describing many of the standard numerical methods used in Linear Algebra. Topics include Gaussian Elimination, LU and QR Factorizations, The Singular Value Decomposition, Eigenvalues and Eigenvectors via the QR Method with Shifts or the Divide-and-Conquer Method, and the Conjugate Gradient and Lanczos Iterative Methods.
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by Leif Mejlbro - BookBoon
The book is a collection of solved problems in linear algebra, this fourth volume covers quadratic equations in two or three variables. All examples are solved, and the solutions usually consist of step-by-step instructions.
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Set linear algebras, introduced by the authors in this book, are the most generalized form of linear algebras. These structures make use of very few algebraic operations and are easily accessible to non-mathematicians as well.
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From the table of contents: K-modules and linear transformations; Linear independence, spanning, bases, and dimension; Coordinates, column vectors, and matrices; Eigenstuff; Multilinear algebra and tensors; Inner-product spaces; Applications.