Title of article :
The Doubly Diagonally Dominant Degree of the Schur Complement of Strictly Doubly Diagonally Dominant Matrices and Its Applications
Author/Authors :
Gu ، Jiangliu College of Data Science and Information Engineering - Guizhou Minzu University , Zhou ، Shouwei College of Data Science and Information Engineering - Guizhou Minzu University , Zhao ، Jianxing College of Data Science and Information Engineering - Guizhou Minzu University , Zhang ، Jiafeng College of Data Science and Information Engineering - Guizhou Minzu University
Abstract :
New bounds for the doubly diagonally dominant degree of the Schur complement of strictly doubly diagonally dominant (SDD) matrices are derived and proved to be better than those in Liu et al. (Linear Algebra Appl 437:168–183, 2012). As applications, a new distribution of the eigenvalues and two new infinity norm bounds for the Schur complements of SDD matrices are obtained. Finally, numerical examples are given to verify the theoretical results.
Keywords :
Doubly diagonally dominant matrices , Schur complements , Dominant degree , Eigenvalue distribution , Infinity norm
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
