Results 31 to 40 of about 50 (43)
Some of the next articles are maybe not open access.
Matrices, Eigenvalues and Eigenvectors
2014Many complex mathematical problems can be formulated as eigenvalue problems. In Exercises 3.1 and 3.2 examples are given where direct computation of eigenvalues and eigenspaces can be carried out. In Exercise 3.3 we show how the eigenvalues of a matrix and its inverse are related, while the eigenvalues of a positive definite matrix are considered in ...
Jean-Louis Merrien, Tom Lyche
openaire +2 more sources
Evaluation of Eigenvalues and Eigenvectors
2017Before we discuss methods for computing eigenvalues, we recall a remark made in Chap. 5 A given nth-degree polynomial p(c) is the characteristic polynomial of some matrix. The companion matrix of equation ( 3.225) is one such matrix.
openaire +2 more sources
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.
openaire +2 more sources
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 ...
openaire +2 more sources
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)
openaire +2 more sources
Eigenvalues and Eigenvectors of Graphs
2011Willem H. Haemers, Andries E. Brouwer
openaire +2 more sources