Structured matrices and inverses
Comon, Pierre
HAL, hal-00169588 / Harvested from HAL
Text on HAL
A matrix (and any associated linear system) will be referred to as structured if it has a small displacement rank. It is known that the inverse of a structured matrix is structured, which allows fast inversion (or solution), and reduced storage requirements. According to two definitions of displacement structure of practical interest, it is shown here that several types of inverses are also structured, including the Moore-Penrose inverse of rank-deficient matrices.
Publié le : 1995-07-05
Classification:  displacement rank,  structured matrix,  rang de déplacement,  matrice structurée,  pseudo-inverse,  G.1.3 Numerical Linear Algebra,  [INFO.INFO-TS]Computer Science [cs]/Signal and Image Processing,  [MATH.MATH-NA]Mathematics [math]/Numerical Analysis [math.NA],  [SPI.SIGNAL]Engineering Sciences [physics]/Signal and Image processing 
@article{hal-00169588,
     author = {Comon, Pierre},
     title = {Structured matrices and inverses},
     journal = {HAL},
     volume = {1995},
     number = {0},
     year = {1995},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00169588}
}

Comon, Pierre. Structured matrices and inverses. HAL, Tome 1995 (1995) no. 0, . http://gdmltest.u-ga.fr/item/hal-00169588/