Last Updated
：2026/01/08
半正定値行列
Hiragana
はんせいていちぎょうれつ
Noun
Japanese Meaning
線形代数において、任意のベクトルに対して二次形式が0以上となる性質をもつ行列。半正定値行列は、固有値がすべて0以上である対称行列として特徴づけられる。 / 最適化や統計学などの分野で、共分散行列などとして現れ、凸性や安定性の解析に用いられる行列。
Easy Japanese Meaning
たてとよこに数をならべたもののうち、決まった計算でいつも０以上になるもの。
Chinese (Simplified) Meaning
对任意向量x，其二次型x^T A x均不小于0的矩阵 / 所有特征值均为非负的矩阵
Chinese (Traditional) Meaning
對任意向量，其二次型皆非負的矩陣 / 所有特徵值皆非負的（對稱／厄米）矩陣
Korean Meaning
양의 준정부호 행렬 / 모든 고유값이 0 이상인 행렬 / 임의의 벡터 x에 대해 x^T A x ≥ 0인 행렬
Indonesian
matriks semidefinit positif / matriks (simetris/Hermitian) dengan semua nilai eigen tidak negatif
Vietnamese Meaning
ma trận nửa xác định dương / ma trận có xᵗAx ≥ 0 với mọi vector x / ma trận có tất cả giá trị riêng không âm
Tagalog Meaning
positibong semidefinite na matris / matris na may di‑negatibong mga eigenvalue / matris na ang pormang kwadratiko ay hindi negatibo para sa lahat ng bektor
Sense（1）
(linear algebra) positive-semidefinite matrix
（ canonical ）
（ romanization ）
（ hiragana ）
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半正定値行列
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A positive-semidefinite matrix is one of the important concepts in linear algebra.
A positive-semidefinite matrix is one of the important concepts in linear algebra.
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半正定値行列は、線形代数学の重要な概念の一つです。
Japanese - English
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