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๐Ÿ“

Sensitivity Analysis in Linear Systems

โœ Scribed by Prof. Assem Deif (auth.)


Publisher
Springer-Verlag Berlin Heidelberg
Year
1986
Tongue
English
Leaves
234
Edition
1
Category
Library

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โœฆ Synopsis


A text surveying perturbation techniques and sensitivity analysis of linear systems is an ambitious undertaking, considering the lack of basic comprehensive texts on the subject. A wide-ranging and global coverage of the topic is as yet missing, despite the existence of numerous monographs dealing with specific topics but generally of use to only a narrow category of people. In fact, most works approach this subject from the numerical analysis point of view. Indeed, researchers in this field have been most concerned with this topic, although engineers and scholars in all fields may find it equally interesting. One can state, without great exaggeration, that a great deal of engineering work is devoted to testing systems' sensitivity to changes in design parameters. As a rule, high-sensitivity elements are those which should be designed with utmost care. On the other hand, as the mathematical modelling serving for the design process is usually idealized and often inaccurately formulated, some unforeseen alterations may cause the system to behave in a slightly different manner. Sensitivity analysis can help the engineer innovate ways to minimize such system discrepancy, since it starts from the assumption of such a discrepancy between the ideal and the actual system.

โœฆ Table of Contents


Front Matter....Pages I-XII
Perturbation of Linear Equations....Pages 1-43
Methods of Interval Analysis....Pages 44-84
Iterative Systems....Pages 85-123
The Least-Squares Problem....Pages 124-166
Sensitivity in Linear Programming....Pages 167-209
Back Matter....Pages 210-224

โœฆ Subjects


Appl.Mathematics/Computational Methods of Engineering;Electrical Engineering


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