Completing a symmetric \(2\times 2\) block matrix and its inverse

DOI10.1016/0024-3795(94)00144-8zbMath0848.15008OpenAlexW2093567593MaRDI QIDQ1911934

Hua Dai

Publication date: 21 October 1996

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(94)00144-8

zbMATH Keywords

completioninversesymmetric block matrix

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09)

Related Items

A simultaneous decomposition of a matrix triplet with applications ⋮ Completing a \(2 \times 2\) block matrix of real quaternions with a partial specified inverse ⋮ On nonsingularity of block two-by-two matrices ⋮ Completion of an orthogonal projector and a related inverse mapping problem ⋮ The inverse of any two-by-two nonsingular partitioned matrix and three matrix inverse completion problems ⋮ Completion of symmetric orthogonal matrices and corresponding matrix equation problem ⋮ Inverses of \(2\times 2\) block matrices

Cites Work

• Unnamed Item
• On the symmetric solutions of linear matrix equations
• Completing a matrix when certain entries of its inverse are specified
• Maximal rank Hermitian completions of partially specified Hermitian matrices.
• Matrix Analysis