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Last edited by Alice Kirk
October 9, 2015 | History
This contains advanced topics such as various factorizations, singular value decompositions, Moore Penrose inverse, norms, convergence theorems, and an introduction to numerical methods like QR algorithm.
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Publish Date
2013
Publisher
Bookboon.com
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Book Details
Table of Contents
Sisältö
Self Adjoint Operators
Simultaneous Diagonalization
Schur’s Theorem
Spectral Theory Of Self Adjoint Operators
Positive And Negative Linear Transformations
Fractional Powers
Polar Decompositions
An Application To Statistics
The Singular Value Decomposition
Approximation In The Frobenius Norm
Least Squares And Singular Value Decomposition
The Moore Penrose Inverse
Exercises
Norms For Finite Dimensional Vector Spaces
The p Norms
The Condition Number
The Spectral Radius
Series And Sequences Of Linear Operators
Iterative Methods For Linear Systems
Theory Of Convergence
Exercises
Numerical Methods For Finding Eigenvalues
The Power Method For Eigenvalues
The QR Algorithm
Exercises
Positive Matrices
Functions Of Matrices
Differential Equations
Compactness And Completeness
Fundamental Theorem Of Algebra
Fields And Field Extensions
Bibliography
SelectedExercises
ID Numbers
Links outside Open Library
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Feedback?October 9, 2015 | Edited by Alice Kirk | Edited without comment. |
October 9, 2015 | Created by Alice Kirk | Added new book. |