Partial Eigenvalue Assignment Problem for the Quadratic Matrix Pencil: comparisons of two types of methods for solving Quadratic Partial Eigenvalue Assignment Problem - Softcover

Tarannum, Husna

Softcover

ISBN 10: 3838371437 ISBN 13: 9783838371436

Verlag: LAP LAMBERT Academic Publishing, 2010

Inhaltsangabe

Numerical experiments are performed to know which method, the direct second-order method or the first-order method is superior, both in eigenvalue assignment and norm reduction of the feedback matrices. Two standard approaches to compute eigenvalues and eigenvectors of a Quadratic Matrix Pencil are defined, one with finding the relation between standard eigenvalue problems and quadratic eigenvalue problems and the other with finding the relation between generalized and quadratic eigenvalue problems. The existence and uniqueness results for both the problems, the matrix second order case and for the partial eigenvalue assignment problem for the matrix pencil, and Orthogonality relations between the eigenvectors of the linear and quadratic matrix pencil are defined. The solutions are proposed for the partial eigenvalue assignment problems for the quadratic pencil where only the partial knowledge of eigenvalues and eigenvectors are required.

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Über die Autorin bzw. den Autor

Born and raised in southern part of India. Father Name: Rashidul Quadir Mother Name: Afsar Unnisa Educational Institutions: Bachelors: Deccan College of Engineering and Technology, Hyderabad, AP - India Masters: Northern Illinois University, Dekalb, ILLINOIS- USA

Details zur Ausgabe

• Verlag: LAP LAMBERT Academic Publishing
• Erscheinungsdatum: 2010
• Sprache: Englisch
• ISBN 10: 3838371437
• ISBN 13: 9783838371436
• Einband: Taschenbuch
• Anzahl der Seiten: 72
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar