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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Invertible solutions to the operator equation $TA-BT=C$
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by David G. Luenberger
Proc. Amer. Math. Soc. 16 (1965), 1226-1229
DOI: https://doi.org/10.1090/S0002-9939-1965-0184088-0
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References
    D. E. Rutherford, On the solution of the matrix equation $AX + XB = C$, Nederl. Akad. Wetensch., Amsterdam Proc. Ser. A 35 (1932), 54-59.
  • Marvin Rosenblum, On the operator equation $BX-XA=Q$, Duke Math. J. 23 (1956), 263–269. MR 79235
    • A. Lyapunov, Problème général de la stabilité du mouvement, Annals of Mathematics Studies No. 17, Princeton Univ. Press., Princeton, N. J., 1947.
  • R. E. Kalman, Lyapunov functions for the problem of Lur′e in automatic control, Proc. Nat. Acad. Sci. U.S.A. 49 (1963), 201–205. MR 151696, DOI 10.1073/pnas.49.2.201
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Bibliographic Information
  • © Copyright 1965 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 16 (1965), 1226-1229
  • MSC: Primary 47.10
  • DOI: https://doi.org/10.1090/S0002-9939-1965-0184088-0
  • MathSciNet review: 0184088