Explicit Inversion for Two Brownian-Type Matrices

• 作者: Florendia Valvi Vassilis Geroyannis
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: BROWNIAN MATRIX HADAMARD Product Hessenberg MATRIX Numerical COMPLEXITY Test MATRIX
• 年，卷（期）: 2012,（9）
• 页码范围: 1068-1073
• 页数: 6页
• 分类号: O1

摘要

We present explicit inverses of two Brownian-type matrices, which are defined as Hadamard products of certain already known matrices. The matrices under consideration are defined by 3n - 1 parameters and their lower Hessenberg form inverses are expressed analytically in terms of these parameters. Such matrices are useful in the theory of digital signal processing and in testing matrix inversion algorithms.