The Discriminance for <i>FLDcirc<sub>r</sub></i>Matrices and the Fast Algorithm of Their Inverse and Generalized Inverse

• 作者: Mei Qin Xue Pan
• 来源期刊: 线性代数与矩阵理论研究进展(英文)
• 学科: 数学
• 关键词: FLDcircr Matrix Discriminance DIAGONALIZATION INVERSE Generalized INVERSE
• 年，卷（期）: 2015,（2）
• 页码范围: 54-61
• 页数: 8页
• 分类号: O1

摘要

This paper presents a new type of circulant matrices. We call it the first and the last difference r-circulant matrix (FLDcircr matrix). We can verify that the linear operation, the matrix product and the inverse matrix of this type of matrices are still FLDcircr matrices. By constructing the basic FLDcircr matrix, we give the discriminance for FLDcircr matrices and the fast algorithm of the inverse and generalized inverse of the FLDcircr matrices.