On the Square Root Functions of Matrices: On The Square Root Functions of Square Matrices - Softcover

Elmi Hassan, Ibrahim

Softcover

ISBN 10: 620495685X ISBN 13: 9786204956855

Verlag: LAP LAMBERT Academic Publishing, 2022

Inhaltsangabe

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.

Über diesen Titel

Über die Autorin bzw. den Autor

Ibrahim Elmi Hassan, is a currently senior Mathematics Lecturer at different Universities including University Of Hargeisa, Bader International University.He has accomplishment his Masters degree of science in pure mathematics at Amoud University. He also did his Bachelor degree in mathematics

Details zur Ausgabe

• Verlag: LAP LAMBERT Academic Publishing
• Erscheinungsdatum: 2022
• Sprache: Englisch
• ISBN 10: 620495685X
• ISBN 13: 9786204956855
• Einband: Taschenbuch
• Anzahl der Seiten: 84
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: KreGa Onlinehandel GmbH; 4950000000000; info@krega-onlinehandel.de; ; Birkenweg 31; Brakel; 33034; Deutschland