Treats linear regression diagnostics as a tool for application of linear regression models to real-life data. Presentation makes extensive use of examples to illustrate theory. Assesses the effect of measurement errors on the estimated coefficients, which is not accounted for in a standard least squ
Sensitivity Analysis in Linear Systems
โ Scribed by Prof. Assem Deif (auth.)
- Publisher
- Springer-Verlag Berlin Heidelberg
- Year
- 1986
- Tongue
- English
- Leaves
- 234
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
โฆ 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.
โฆ 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
โฆ Subjects
Appl.Mathematics/Computational Methods of Engineering;Electrical Engineering
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