Last Updated :2025/11/29

Lanczos algorithm

Proper noun
Japanese Meaning
ランチョスアルゴリズムとは、計算理論における反復アルゴリズムの一種で、冪法の考えを応用し、n次の線形システムから、特に有用とされる固有値と固有ベクトルを、操作回数m(m ≪ n)の制限内で求め出す手法です。
What is this buttons?

シミュレーションのために大規模な疎行列の主要な固有値・固有ベクトルを効率的に求めるため、チームはランチョス法(べき乗法を応用した反復アルゴリズム)を実装し、その収束挙動を標準的なべき乗法と比較した。

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(computing theory) An iterative algorithm that is an adaptation of power methods to find the most useful eigenvalues and eigenvectors of an nth-order linear system with a limited number of operations, m, where m is much smaller than n.

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Lanczos algorithm

To efficiently compute a few dominant eigenpairs of a large sparse matrix for their simulation, the team implemented the Lanczos algorithm and compared its convergence behavior to that of the standard power method.

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To efficiently compute a few dominant eigenpairs of a large sparse matrix for their simulation, the team implemented the Lanczos algorithm and compared its convergence behavior to that of the standard power method.

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