Computation of Generalized Matrix Inverses and Applications is popular PDF and ePub book, written by Ivan Stanimirović in 2017-12-14, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Computation of Generalized Matrix Inverses and Applications can be Read Online from any device for your convenience.
Computation of Generalized Matrix Inverses and Applications Book PDF Summary
This volume offers a gradual exposition to matrix theory as a subject of linear algebra. It presents both the theoretical results in generalized matrix inverses and the applications. The book is as self-contained as possible, assuming no prior knowledge of matrix theory and linear algebra. The book first addresses the basic definitions and concepts of an arbitrary generalized matrix inverse with special reference to the calculation of {i,j,...,k} inverse and the Moore–Penrose inverse. Then, the results of LDL* decomposition of the full rank polynomial matrix are introduced, along with numerical examples. Methods for calculating the Moore–Penrose’s inverse of rational matrix are presented, which are based on LDL* and QDR decompositions of the matrix. A method for calculating the A(2)T;S inverse using LDL* decomposition using methods is derived as well as the symbolic calculation of A(2)T;S inverses using QDR factorization. The text then offers several ways on how the introduced theoretical concepts can be applied in restoring blurred images and linear regression methods, along with the well-known application in linear systems. The book also explains how the computation of generalized inverses of matrices with constant values is performed. It covers several methods, such as methods based on full-rank factorization, Leverrier–Faddeev method, method of Zhukovski, and variations of the partitioning method.
Detail Book of Computation of Generalized Matrix Inverses and Applications PDF
- Author : Ivan Stanimirović
- Release : 14 December 2017
- Publisher : CRC Press
- ISBN : 9781351630061
- Genre : Mathematics
- Total Page : 280 pages
- Language : English
- PDF File Size : 17,9 Mb
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