A note on diagonal dominance, Schur complements and some classes of H-matrices and P-matrices

Dai Ping-Fan

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A note on diagonal dominance, Schur complements and some classes of H-matrices and P-matrices

机译：关于对角优势，Schur补和H矩阵和P矩阵的某些类别的注释

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摘要

In this note, an error on the proof of an important Theorem in a recent article by Pea (Adv. Comput. Math. 35, 357-373, 2011) is pointed out by a numerical counter example. Then a new proof for the corresponding result is presented.

机译：在此注释中，通过一个数字反例指出了Pea在最近的一篇文章中（一个重要的定理的证明）错误（Adv。Comput。Math。35，357-373，2011）。然后给出了相应结果的新证明。

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来源
《Advances in computational mathematics》 |2016年第1期|共4页
作者
Dai Ping-Fan;
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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
H-matrices; P-matrices; SDD matrices; SDD1 matrices;

机译：H矩阵;P矩阵;SDD矩阵;SDD1矩阵;

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专利

1. A note on diagonal dominance, Schur complements and some classes of H-matrices and P-matrices [J] . Dai Ping-Fan Advances in computational mathematics . 2016,第1期

机译：关于对角优势，Schur补和H矩阵和P矩阵的某些类别的注释
2. Diagonal dominance, Schur complements and some classes of H-matrices and P-matrices [J] . Pe?a J.M. Advances in computational mathematics . 2011,第2a4期

机译：对角优势，Schur补和某些H矩阵和P矩阵
3. Diagonal dominance, Schur complements and some classes of H-matrices and P-matrices [J] . Juan Manuel Peña Advances in Computational Mathematics . 2011,第sa2a4期

机译：对角优势，Schur补和某些H矩阵和P矩阵
4. The Schur complement on Weak block diagonally dominant matrices and weak block H-matrices [C] . Shi-Hong Liu, Hong Su, Zhuo-Hong Huang International conference on mechanical engineering, materials and energy . 2012

机译：弱块对角占优矩阵和弱块H矩阵的Schur补
5. Multilevel Schur complement preconditioning for multi-physics simulations. [D] . Tiedeman, Hilari C. 2012

机译：用于多物理场仿真的多级Schur补码预处理。
6. The disc separation and the eigenvalue distribution of the Schur complement of nonstrictly diagonally dominant matrices [O] . Cheng-yi Zhang, Weiwei Wang, Shuanghua Luo, -1

机译：非严格对角优势矩阵的Schur补的圆盘分离和特征值分布
7. ON GENERALIZED SCHUR COMPLEMENT OF NONSTRICTLY DIAGONALLY DOMINANT MATRICES AND GENERAL H-MATRICES ∗ [O] . Cheng-yi Zhang, Yan Zhu, Shuanghua Luo, 2014

机译：非严格对角占优矩阵与一般H矩阵的广义Schur补*

A note on diagonal dominance, Schur complements and some classes of H-matrices and P-matrices

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