一类矩阵方程最小二乘问题及其在跨语言情感分类中的应用
The Least Squares Problem for a Kind of Matrix Equation and Its Applications in Cross-Lingual Sentiment Classification
摘要: 本文利用矩阵拉直算子、Moore-Penrose广义逆得到矩阵方程AXB = C极小范数最小二乘解的表达式，进一步得到矩阵方程AXB = C对称极小范数最小二乘解的表达式，最后讨论矩阵方程WX = Y在跨语言情感分类中的应用。
Abstract: This paper derives the expression of the linear least squares solution for the matrix equation AXB = C by using the matrix straightening operator and the Moore-Penrose generalized inverse, obtains the expression of the symmetric least squares solution for the matrix equation AXB = C with the least norm. Finally, the applications of the matrix equation WX = Y in cross-lingual sentiment classification are discussed.
文章引用：陈秋娟, 袁仕芳. 一类矩阵方程最小二乘问题及其在跨语言情感分类中的应用[J]. 理论数学, 2025, 15(8): 111-122. https://doi.org/10.12677/pm.2025.158226

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