 ##  [Lanczos Algorithm](/index.php/lanczos-algorithm) 

  ##  [Lanczos Algorithm](https://mathlogic.quantumdictionary.io/lanczos-algorithm-0) 

  
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- Natural &amp; Formal Sciences -

**Mathematics &amp; Logic Dictionary**

 
Definition

A Krylov-subspace algorithm for Hermitian (symmetric) matrices that generates a tridiagonal matrix representation via short three-term recurrences, enabling efficient extraction of extreme eigenvalues and approximate spectral information for large sparse operators.