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The elements of eigenvalue and eigenvector theory
1978Suppose that $$ {\text{T}}:V \to V $$ is a linear transformation of the vector space V to itself. Such linear transformations have a special name (because their domain and range space are the same), they are called endomorphisms of V.
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Eigenvalue-Eigenvector Solution
1985In this chapter, methods are presented for solving the free vibration equation for a multi-degree of freedom system. This equation is called the eigenvalue equation. Its solution not only gives the natural frequencies and mode shapes but also allows the set of coupled equations representing the dynamic response of a system to be uncoupled and hence ...
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Eigenvalues and Eigenvectors of the KBE
1977Consider the KBE $$\frac{{\partial u}}{{\partial t}} = Au$$ (7.1) where $$u = u(t,x) = \int_0^1 {p(t,x,y)f(y)dy.}$$ (7.2)
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Eigenvalues and Eigenvectors of Graphs
2011Willem H. Haemers, Andries E. Brouwer
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