What are the numerical method to find out eigen values?
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real matrix , find numerical approximations to the eigenvalues and eigenvectors of . This numerical eigenproblem is difficult to solve in general. In many applica tions, may be symmetric, or tridiagonal or have some other special form or property. Consequently, most numerical methods are designed for special matrices.
The corresponding matrix of eigenvectors is unitary. The eigenvalues of a hermitian matrix are real, since (λ − λ)v = (A* − A)v = (A − A)v = 0 for a non-zero eigenvector v. If A is real, there is an orthonormal basis for Rn consisting of eigenvectors of A if and only if A is symmetric.
The corresponding matrix of eigenvectors is unitary. The eigenvalues of a hermitian matrix are real, since (λ − λ)v = (A* − A)v = (A − A)v = 0 for a non-zero eigenvector v. If A is real, there is an orthonormal basis for Rn consisting of eigenvectors of A if and only if A is symmetric.
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