Numerical Approximation for Matrix Functions : A Numerical Study for Matrix Functions having Complex Eigenvalues Via Different Approximative Techniques

Adel Abd Elaziz Abd Elhamid El-Sayed

ISBN 10: 3659583936 / ISBN 13: 9783659583933

Published by LAP LAMBERT Academic Publishing, 2014

About this Item

nach der Bestellung gedruckt Neuware - Printed after ordering - The matrix functions computations have an important area of research in numerical analysis for introducing numerical solutions of some types of differential equations and linear systems of equations. The main objective of this book, which consists of four chapters, is to introduce an analytical and numerical treatment for computing matrix functions based on five definitions of matrix functions for some types of matrices. Namely: matrix functions for square matrices having pure complex or mixed eigenvalues using Vandermonde matrix, Lagrange-Sylvester interpolation and mixed interpolation methods. Also for square matrices having mixed or repeated real eigenvalues using extension of Sylvester's definition and Newton's divided difference. The analytical analysis and numerical treatment of the proposed methods and techniques is studied. The accuracy of these proposed methods and techniques is demonstrated by several test problems where the obtained numerical results are compared with the exact values for some types of matrix functions and in other time compared with previous methods.

Seller Inventory # 9783659583933

Bibliographic Details

• Title: Numerical Approximation for Matrix Functions : A Numerical Study for Matrix Functions having Complex Eigenvalues Via Different Approximative Techniques
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2014
• Language: English
• ISBN 10: 3659583936
• ISBN 13: 9783659583933
• Binding: Taschenbuch
• Condition: Neu

About this title

Synopsis

The matrix functions computations have an important area of research in numerical analysis for introducing numerical solutions of some types of differential equations and linear systems of equations. The main objective of this book, which consists of four chapters, is to introduce an analytical and numerical treatment for computing matrix functions based on five definitions of matrix functions for some types of matrices. Namely: matrix functions for square matrices having pure complex or mixed eigenvalues using Vandermonde matrix, Lagrange-Sylvester interpolation and mixed interpolation methods. Also for square matrices having mixed or repeated real eigenvalues using extension of Sylvester's definition and Newton's divided difference. The analytical analysis and numerical treatment of the proposed methods and techniques is studied. The accuracy of these proposed methods and techniques is demonstrated by several test problems where the obtained numerical results are compared with the exact values for some types of matrix functions and in other time compared with previous methods.

About the Author

Adel Abd Elaziz Abd Elhamied El-sayed pursuing Ph.D. at the Department of Mathematics, The M.S. University of Fayoum University , Fayoum, He completed his post graduation from Fayoum University in the field of mathematics. His present areas of research are pure mathematics (numerical analysis).