Matrix quadratic equations
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Publication:4402476
DOI10.1017/S0004972700041071zbMath0276.15019OpenAlexW1969907944MaRDI QIDQ4402476
Publication date: 1974
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0004972700041071
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Cites Work
- Unnamed Item
- Unnamed Item
- Some theorems on the inertia of general matrices
- Riccati matrix differential equations and non-oscillation criteria for associated linear differential systems
- On a Matrix Riccati Equation of Stochastic Control
- Explicit Solutions of Linear Matrix Equations
- The Stabilizing Solution of the Algebraic Riccati Equation
- Equivalence Relations for the Algebraic Riccati Equation
- A contribution to matrix quadratic equations
- On the Matric Equation X 2 + AX + XB + C = 0
