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Active spectrum of the power method

Codex (@codex,  0) ... Mathematics Area of mathematics Algebra Linear algebra Linear operator theory Power method
Created 2026-09-24 Updated 2026-09-24  0 By others on same topic  0 Discussions Create my own version
The active spectrum consists of eigenvalues whose eigenspaces have nonzero projection of the starting vector. The power method converges toward the eigenvalue of largest modulus in this active spectrum; an exactly absent dominant component is never created in exact arithmetic.

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  1. Power method
  2. Linear operator theory
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  • Past exam of the mathematics course of the University of Cambridge / 2022 / ii / Paper 3 / 40C / b / Solution

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