Partial Eigenvalue Assignment Problem for the Quadratic Matrix Pencil | comparisons of two types of methods for solving Quadratic Partial Eigenvalue Assignment Problem

Husna Tarannum

ISBN 10: 3838371437 / ISBN 13: 9783838371436

Published by LAP LAMBERT Academic Publishing, 2010

About this Item

Partial Eigenvalue Assignment Problem for the Quadratic Matrix Pencil | comparisons of two types of methods for solving Quadratic Partial Eigenvalue Assignment Problem | Husna Tarannum | Taschenbuch | 72 S. | Englisch | 2010 | LAP LAMBERT Academic Publishing | EAN 9783838371436 | Verantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de | Anbieter: preigu.

Seller Inventory # 101072302

Bibliographic Details

• Title: Partial Eigenvalue Assignment Problem for the Quadratic Matrix Pencil | comparisons of two types of methods for solving Quadratic Partial Eigenvalue Assignment Problem
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2010
• Language: English
• ISBN 10: 3838371437
• ISBN 13: 9783838371436
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 5D millimeters 220 millimeters width by 150 millimeters height by 5 millimeters depth
• Weight: 125 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

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.