Computation of Generalized Matrix Inverses and Applications

Nonfiction, Science & Nature, Mathematics, Number Systems, Algebra
Cover of the book Computation of Generalized Matrix Inverses and Applications by Ivan Stanimirović, Apple Academic Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Ivan Stanimirović ISBN: 9781351630054
Publisher: Apple Academic Press Publication: December 14, 2017
Imprint: Apple Academic Press Language: English
Author: Ivan Stanimirović
ISBN: 9781351630054
Publisher: Apple Academic Press
Publication: December 14, 2017
Imprint: Apple Academic Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Apple Academic Press

Cover of the book Developing Technologies in Food Science by Ivan Stanimirović
Cover of the book Spices by Ivan Stanimirović
Cover of the book Theoretical Models and Experimental Approaches in Physical Chemistry by Ivan Stanimirović
Cover of the book Sustainable Horticulture, Volume 1 by Ivan Stanimirović
Cover of the book Smart Grid Systems by Ivan Stanimirović
Cover of the book Rice Science: Biotechnological and Molecular Advancements by Ivan Stanimirović
Cover of the book Applied Food Science and Engineering with Industrial Applications by Ivan Stanimirović
Cover of the book Plant Food By-Products by Ivan Stanimirović
Cover of the book Functional Materials and Electronics by Ivan Stanimirović
Cover of the book Conservation, Tourism, and Identity of Contemporary Community Art by Ivan Stanimirović
Cover of the book Hydrodynamics and Mass Transfer in Downflow Slurry Bubble Columns by Ivan Stanimirović
Cover of the book Biocatalysis and Agricultural Biotechnology: Fundamentals, Advances, and Practices for a Greener Future by Ivan Stanimirović
Cover of the book Bioactive Compounds of Medicinal Plants by Ivan Stanimirović
Cover of the book Temperate Horticulture for Sustainable Development and Environment by Ivan Stanimirović
Cover of the book Engineering Practices for Management of Soil Salinity by Ivan Stanimirović
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy