On ranges of real Lyapunov transformations

DOI10.1016/0024-3795(76)90045-8zbMath0337.15013OpenAlexW2130116970MaRDI QIDQ1229936

Raphael Loewy

Publication date: 1976

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

Full work available at URL: https://doi.org/10.1016/0024-3795(76)90045-8

Mathematics Subject Classification ID

Matrix equations and identities (15A24) Algebraic systems of matrices (15A30)

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Cites Work

• Unnamed Item
• On the matrix function \(AX + X'A'\)
• Positive operators and an inertia theorem
• Linear equations and inequalities on finite dimensional, real or complex, vector spaces: a unified theory
• Ideal matrices. I
• On Ranges of Lyapunov Transformations. III
• On ranges of Lyapunov transformations IV
• State Constraints in Convex Control Problems of Bolza
• Linear transformations on matrices