Linear Algebra Solved Problems

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These structures make use of very few algebraic operations and are easily accessible to non-mathematicians as well.

These notes are about linear operators on Hilbert Spaces.

Scientists and engineers can adopt this concept in fuzzy finite element analysis of mechanical structures with uncertain parameters.

Special Set Linear Algebras introduced by the authors in this free book is an extension of Set Linear Algebras, which are the most generalized form of linear algebras.

Tthe particular nature of the applications will prompt us to seek algorithms.

Contents: Vectors and Vector Spaces; Matrices and Linear Algebra; Eigenvalues and Eigenvectors; Unitary Matrices; Hermitian Theory; Normal Matrices; Factorization Theorems; Jordan Normal Form; Hermitian and Symmetric Matrices; Nonnegative Matrices.

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, etc.

It includes a range of theorems and applications in different branches of linear algebra, such as linear systems, matrices, operators, etc.

This book discusses numerical methods for computing eigenvalues and eigenvectors of large sparse matrices.


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