Definition of Eigenvalue. Meaning of Eigenvalue. Synonyms of Eigenvalue

- or shear. The corresponding eigenvalue is the factor by which an eigenvector is stretched or squished. If the eigenvalue is negative, the eigenvector's...
- is the eigenvalue. The above equation is called the eigenvalue equation or the eigenvalue problem. This yields an equation for the eigenvalues p(λ)=det(A−λI)=0...
- designing efficient and stable algorithms for finding the eigenvalues of a matrix. These eigenvalue algorithms may also find eigenvectors. Given an n × n...
- square matrix with positive entries has a unique eigenvalue of largest magnitude and that eigenvalue is real. The corresponding eigenvector can be chosen...
- In mathematics, an eigenvalue perturbation problem is that of finding the eigenvectors and eigenvalues of a system Ax=λx{\displaystyle Ax=\lambda x} that...
- nonlinear eigenvalue problem, is a generalization of the (ordinary) eigenvalue problem to equations that depend nonlinearly on the eigenvalue. Specifically...
- eigenvalues, since distinct eigenvalues always have linearly independent eigenvectors. In particular, a defective matrix has one or more eigenvalues λ...
- are the eigenvalues (of the operator), and the number of times each eigenvalue occurs is called the algebraic multiplicity of the eigenvalue. If the operator...
- {\displaystyle R_{i}} . Such a disc is called a Gershgorin disc. Theorem. Every eigenvalue of A {\displaystyle A} lies within at least one of the Gershgorin discs...
- In mathematics, the Rayleigh theorem for eigenvalues pertains to the behavior of the solutions of an eigenvalue equation as the number of basis functions...