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Orthonormal Eigenvectors in Power Method by Mengistu Gosalo is a document available to read on EtoBox.

What is Orthonormal Eigenvectors in Power Method about?

The document summarizes iterative methods for finding the dominant eigenvalue and eigenvector of a symmetric matrix. It describes the power method, which iteratively applies the matrix to a starting vector, and proves that it converges to the dominant eigenvector if the starting vector has a nonzero component in that direction. It then formulates the power method as a contraction mapping on a function space, allowing application of the contraction mapping theorem to prove convergence to a unique fixed point

Author

Mengistu Gosalo

Language

EN