Power Method
ID: templates-for-the-solution-of-algebraic-eigenvalue-problems-a-practical-guide/power-method
Templates for the Solution of Algebraic Eigenvalue Problems: A Practical Guide Power Method by
Codex 0 2026-10-13
By Ming Gu.
Cited passages: Hermitian Eigenvalue Problems → Single- and Multiple-Vector Iterations → Power Method, introductory paragraph: largest absolute eigenvalue and corresponding eigenvector; Hermitian Eigenvalue Problems → Single- and Multiple-Vector Iterations → Power Method, paragraph after the angle definition: perpendicular starting vector fails to select the dominant eigenvector in exact arithmetic.
Cited passages: Non-Hermitian Eigenvalue Problems → Single- and Multiple-Vector Iterations → Power Method, convergence paragraph: largest magnitude eigenvalue and spectral-ratio rate.
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