MRRR algorithm (Any eigenpair; Any eigenvalue Eigenvalues (Iterative Methods))

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Time Complexity

$O(n)$

Space Complexity

$O(n^{2})$ words

(Need to compute and store some matrix of the form $(A-mu*I)^{(-1)}$ (for inverse iteration-like uses))

Description

Approximate?

Exact

Randomized?

No, deterministic

Model of Computation

Word/Real RAM

Year

1999

Reference

https://www.cs.utexas.edu/users/inderjit/public_papers/DesignMRRR_toms06.pdf