Abstract
| Original language | English |
|---|
| Place of Publication | København |
|---|---|
| Publisher | Department of Mathematics, Technical University of Denmark |
| Edition | 1 |
| Publication status | Published - 2004 |
| Series | MAT-Report |
|---|---|
| Number | 2004-15 |
Cite this
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On free matrices. / Britz, Thomas.
1 ed. København : Department of Mathematics, Technical University of Denmark, 2004. (MAT-Report; No. 2004-15).Research output: Book/Report › Report › Research
TY - RPRT
T1 - On free matrices
AU - Britz, Thomas
PY - 2004
Y1 - 2004
N2 - Bipartite graphs and digraphs are used to describe algebraic operations on a free matrix, including Moore-Penrose inversion, finding Schur complements, and normalized LU factorization. A description of the structural properties of a free matrix and its Moore-Penrose inverse is proved, and necessary and sufficient conditions are given for the Moore-Penrose inverse of a free matrix to be free. Several of these results are generalized with respect to a family of matrices that contains both the free matrices and the nearly reducible matrices.
AB - Bipartite graphs and digraphs are used to describe algebraic operations on a free matrix, including Moore-Penrose inversion, finding Schur complements, and normalized LU factorization. A description of the structural properties of a free matrix and its Moore-Penrose inverse is proved, and necessary and sufficient conditions are given for the Moore-Penrose inverse of a free matrix to be free. Several of these results are generalized with respect to a family of matrices that contains both the free matrices and the nearly reducible matrices.
M3 - Report
BT - On free matrices
PB - Department of Mathematics, Technical University of Denmark
CY - København
ER -