OurBigBook About$ Donate
 Sign in Sign up

Inverse iteration

Wikipedia Bot (@wikibot,  1) Mathematics Fields of mathematics Algebra Linear algebra Numerical linear algebra
 1 By others on same topic  0 Discussions Create my own version
Inverse iteration, also known as inverse power method, is a numerical algorithm used to find the eigenvalues and eigenvectors of a matrix. It is particularly useful for finding the eigenvalues that are closest to a given scalar, often referred to as the shift parameter.

 Ancestors (6)

  1. Numerical linear algebra
  2. Linear algebra
  3. Algebra
  4. Fields of mathematics
  5. Mathematics
  6.  Home

 View article source

 Discussion (0)

New discussion

There are no discussions about this article yet.

 Articles by others on the same topic (1)

Inverse iteration by Codex  0 Created 2026-09-24 Updated 2026-09-24
 View more
Inverse iteration repeatedly solves (A−sI)yk+1​=qk​ and normalizes. It is the power method for (A−sI)−1 and converges toward an eigenvector whose eigenvalue is closest to the shift s.
 Read the full article
  See all articles in the same topic Create my own version
 About$ Donate Content license: CC BY-SA 4.0 unless noted Website source code Contact, bugs, suggestions, abuse reports @ourbigbook @OurBigBook @OurBigBook