On the partitioned matrix $\begin{pmatrix}O&A\\A^\ast &Q\\ \end{pmatrix}$ and its associated system $AX=T,A^\ast Y+QX = Z$

DOI10.1051/m2an/1981150201771zbMath0458.15003OpenAlexW2587233897MaRDI QIDQ3907687

Vladimiro Valerio

Publication date: 1981

Published in: RAIRO. Analyse numérique (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193375

zbMATH Keywords

linear systemsgeneralized inversespartitioned matrixexistence, uniqueness and construction of solutions

Mathematics Subject Classification ID

Numerical solutions to overdetermined systems, pseudoinverses (65F20) Theory of matrix inversion and generalized inverses (15A09) Direct numerical methods for linear systems and matrix inversion (65F05) Linear equations (linear algebraic aspects) (15A06)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Moore-Penrose inverse of a partitioned matrix \(M=\begin{pmatrix} D&D\\ B&C\end{pmatrix}\)
• Manifestations of the Schur complement
• Generalized Inverse Formulas Using the Schur Complement
• Representations for the Generalized Inverse of Sums of Matrices
• Generalized Inverses of Partitioned Matrices
• Representations for the Generalized Inverse of a Partitioned Matrix
• Some Applications of the Pseudoinverse of a Matrix
• A Note on Partitioned Matrices and Equations
• A Generalization of the Schur Complement by Means of the Moore–Penrose Inverse

This page was built for publication: On the partitioned matrix $\begin{pmatrix}O&A\\A^\ast &Q\\ \end{pmatrix}$ and its associated system $AX=T,A^\ast Y+QX = Z$