Last Updated：2025/11/29
Sentence
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。
Quizzes for review
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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Related words
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。
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