On the Square Root Functions of Matrices: On The Square Root Functions of Square Matrices - Couverture souple

Elmi Hassan, Ibrahim

 
9786204956855: On the Square Root Functions of Matrices: On The Square Root Functions of Square Matrices
Couverture souple
ISBN 10 : 620495685X ISBN 13 : 9786204956855
Editeur : LAP LAMBERT Academic Publishing, 2022

Synopsis

Matrix functions in general are an interesting area in matrix theory and play a widespread role in science and engineering; with application areas ranging from nuclear magnetic resonance to the solution of stiff ordinary differential equations. We consider how to define matrix functions and how to compute matrix functions. To be concrete, we pay particular attention to the matrix square root function. The matrix square root is one of the most important functions of a matrix. In this thesis, we discuss some matrix functions with their properties, but we specifically explore the square root function of a matrix and the most efficient methods (i.e., Cayley Hamilton Theorem and Schur decomposition) of computing it. Also some methods of calculating the square root of a 2×2 matrix including the Cayley-Hamilton Theorem, by diagonalization etc is highlighted, along with square roots of positive semidefinite matrices, general square roots using the Jordan Canonical Form and the nth roots of some matrices.

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Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2022
Langue
anglais
ISBN 10 
620495685X
ISBN 13 
9786204956855
Reliure
Broché
Nombre de pages
84
Coordonnées du fabricant
non disponible
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