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What is Eigenvectors

Structural Dynamics and Static Nonlinear Analysis From Theory to Application
Is a nonzero vector that changes at most by a scalar factor when that linear transformation is applied to it.
Published in Chapter:
Extracting Eigenvalues and Eigenvectors Technique
DOI: 10.4018/978-1-7998-4399-3.ch006
Abstract
In the process of solving dynamics problems at a given stage, one needs to have the dynamic characteristic of the structure in order to be able to push the calculation (resolution). Further, these characteristics are the eigenvalues and eigenvectors. In this chapter, some important points are dealt with, namely problem with standard eigenvalues, property of eigenvalues and eigenvectors, Rayleigh quotient, offset of eigenvalues, and different methods for extracting eigenvalues and eigenvectors are presented. At the end, some examples are exposed.
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Multi-Degrees of Freedom System and Hydrodynamic Principle
Mathematical vector which when operated on by a given operator gives a scalar multiple of itself.
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