@article{M2AN_1981__15_2_177_0,
author = {Valerio, Vladimiro},
title = {On the partitioned matrix $\begin{pmatrix}O&A\\A^\ast &Q\end{pmatrix}$ and its associated system $AX=T, A^\ast Y+QX = Z$},
journal = {RAIRO. Analyse num\'erique},
pages = {177--184},
year = {1981},
publisher = {Centrale des revues, Dunod-Gauthier-Villars},
address = {Montreuil},
volume = {15},
number = {2},
mrnumber = {618822},
zbl = {0458.15003},
language = {en},
url = {https://www.numdam.org/item/M2AN_1981__15_2_177_0/}
}
TY - JOUR
AU - Valerio, Vladimiro
TI - On the partitioned matrix $\begin{pmatrix}O&A\\A^\ast &Q\end{pmatrix}$ and its associated system $AX=T, A^\ast Y+QX = Z$
JO - RAIRO. Analyse numérique
PY - 1981
SP - 177
EP - 184
VL - 15
IS - 2
PB - Centrale des revues, Dunod-Gauthier-Villars
PP - Montreuil
UR - https://www.numdam.org/item/M2AN_1981__15_2_177_0/
LA - en
ID - M2AN_1981__15_2_177_0
ER -
%0 Journal Article
%A Valerio, Vladimiro
%T On the partitioned matrix $\begin{pmatrix}O&A\\A^\ast &Q\end{pmatrix}$ and its associated system $AX=T, A^\ast Y+QX = Z$
%J RAIRO. Analyse numérique
%D 1981
%P 177-184
%V 15
%N 2
%I Centrale des revues, Dunod-Gauthier-Villars
%C Montreuil
%U https://www.numdam.org/item/M2AN_1981__15_2_177_0/
%G en
%F M2AN_1981__15_2_177_0
Valerio, Vladimiro. On the partitioned matrix $\begin{pmatrix}O&A\\A^\ast &Q\end{pmatrix}$ and its associated system $AX=T, A^\ast Y+QX = Z$. RAIRO. Analyse numérique, Tome 15 (1981) no. 2, pp. 177-184. https://www.numdam.org/item/M2AN_1981__15_2_177_0/
1 , A note on partitioned matrix equations SIAM Rev , 11 (1969), 247-250 | Zbl | MR
2 , Generalized inverses theory and applications J Wiley and Sons (1974), New York | Zbl | MR
3 , On generalized inverse of partitioned matrices, Sankhya, Ser A, 33 (1971), 311-314 | Zbl
4 , Theory of errors and generalized inverse matrix Elsevir Scien Public Co (1973)
5 , , Generalized inverse matrices J Wiley and Sons (1971), New York | Zbl
6 , , , , A generalized inverse formula using the Schur complement, SIAM J , 26, (1974), 254-259 | MR
7 , , , A generalization of the Schur complement by means of the Moore-Penrose Inverse SIAM J Appl Math 26 (1974), 169-175 | Zbl | MR
8 , , The Moore-Penrose inverse of a partitioned matrix Linear Alg and its Appl , 11 (1975), 73-86 | Zbl | MR
9 , Representation for the generalized inverse of partitioned matrix SIAM J Appl Math , 12 (1964), 588-600 | Zbl | MR
10 , Representation of generalized inverse of sums of matrices SIAM J Num Anal , Ser B, 2 (1965), 99-114 | Zbl
11 , Manifestation of the Schur complement Linear Alg and its Appl , 8 (1974), 189-211 | Zbl
12 , Some applications of the pseudo-inverse of a matrix SIAM Rev , 2 (1960), 15-22
13 , Linear Algebra Addison-Wesley (1965), New York
14 , , Rank conditions for generalized inverses of partitioned matrices Sankhya, Ser A (1974), 437-442 | Zbl | MR
15 , Equations and inequalities for ranks of matrices Linear and Multil Alg , 2 (1974), 269-292 | Zbl
16 , , Generalized inverse of partitioned matrices and recalculation of least squares estimates for data or model charges Sankhya, Ser A, 33 (1971), 395-410 | Zbl | MR
17 , Fixed rank solutions of linear matrix equations Sankhya, Ser A, 34 (1971) 387-392 | Zbl | MR
18 , Calculus of generalized inverses of matrices, Part I General Theory Sankhya, Ser A , 29 (1971), 317-342 | Zbl
19 , , Generalized inverse of matrix and its application J Wiley and Sons (1971), New York
20 , Generalized inverse of partitioned matrices SIAM J , 13 (1965), 1033-1035 | Zbl | MR
21 , Sulle inverse generalizzate e sulla soluzione di particolari sistemi di equazioni lineari, con applicazione al calcolo delle strutture reticolari Ace Naz Lincei, Rend sc , vol LX (1976), 84-89 | Zbl | MR
22 , On the reticulated structures calculation Seminar held at the Delhi Campus of the Indian Statistical Institute (Nov 1977) unpublished communication, to appear





