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On Singular Value Decomposition of Rectangular Matrices

Program: 
Science - Mathematics
Year: 
2009
Discussion Committee: 
Dr. "Mohammad Othman" Omran - Supervisor
Dr.Samer Matar - Internal Examiner
Dr. Ali Abed Almohesen - External Examiner
Supervisors: 
Dr. "Mohammad Othman" Omran
Authors: 
Sheren Najeh Issa Odeh
Abstract: 
The singular value decomposition of matrices stands as one of the most important concepts in mathematics, because of its variety of applications in mathematics, statistics, biology and many other areas of science. In this thesis, we present the singular value decomposition and its relation to the spectral decomposition . We also investigate the singular value decomposition of a matrix together with some of its applications. Some of these applications include the Moore-Penrose psuedoinverse, the effective rank of matrices and image compression.
Full Text: 
PDF icon on_singular_value_decomposition_of_rectangular_matrices.pdf
Pages Count: 
118
Status: 
Published