The Conditions for the Convergence of Power Scaled Matrices and Applications

• 作者: Robert E. Hartwig Xuzhou Chen
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: CONVERGENCE ITERATIVE Method TRIANGULAR MATRIX GRAM-SCHMIDT
• 年，卷（期）: 2011,（2）
• 页码范围: 63-71
• 页数: 9页
• 分类号: O1

摘要

For an invertible diagonal matrix D , the convergence of the power scaled matrix sequence D-NAN is investigated. As a special case, necessary and sufficient conditions are given for the convergence of D-NTN , where T is triangular. These conditions involve both the spectrum as well as the diagraph of the matrix .The results are then used to privide a new proof for the convergence of subspace iteration.