| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 6416639 | Linear Algebra and its Applications | 2013 | 9 Pages |
Abstract
Normal matrices in which all submatrices are normal are said to be completely normal. We characterize this class of matrices, determine the possible inertias of a particular completely normal matrix, and show that real matrices in this class are closed under (general) Schur complementation. We provide explicit formulas for the Moore-Penrose inverse of a completely normal matrix of size at least four. A result on irreducible principally normal matrices is derived as well.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Michael D. Sherman, Ronald L. Smith,