Extreme Ranks of a Partial Banded Block Quaternion Matrix Expression Subject to Some Matrix Equations with Applications
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Publication:3168904
DOI10.1142/S100538671100023XzbMath1227.15015OpenAlexW2084097914MaRDI QIDQ3168904
Qing-Wen Wang, Dezhong Lian, Yan Tang
Publication date: 27 April 2011
Published in: Algebra Colloquium (Search for Journal in Brave)
Full work available at URL: http://www.worldscinet.com/ac/18/1802/S100538671100023X.html
Theory of matrix inversion and generalized inverses (15A09) Matrices over special rings (quaternions, finite fields, etc.) (15B33) Matrix equations and identities (15A24) Vector spaces, linear dependence, rank, lineability (15A03)
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The optimization on ranks and inertias of a quadratic Hermitian matrix function and its applications ⋮ The common bisymmetric nonnegative definite solutions with extreme ranks and inertias to a pair of matrix equations ⋮ A quick exponentiation algorithm for \(3\times 3\) block upper triangular matrices
Cites Work
- Ranks and the least-norm of the general solution to a system of quaternion matrix equations
- A system of real quaternion matrix equations with applications
- Completing triangular block matrices with maximal and minimal ranks
- Upper and lower bounds for ranks of matrix expressions using generalized inverses
- Extreme ranks of the solution to a consistent system of linear quaternion matrix equations with an application
- Extreme ranks of a linear quaternion matrix expression subject to triple quaternion matrix equations with applications
- Extreme Ranks of Real Matrices in Solution of the Quaternion Matrix Equation AXB = C with Applications
- Maximal and Minimal Ranks of the Common Solution of Some Linear Matrix Equations over an Arbitrary Division Ring with Applications
- Minimal rank completions of partial banded matrices
- The Minimum Rank of a 3 × 3 Partial Block Matrix
- The Real Solutions to a System of Quaternion Matrix Equations with Applications
