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Linear and Multilinear Algebra Volume 5, 1977 - Issue 3
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Original Articles

A note on minimal norms and the logarithmic derivative of a matrix

D. D. Olesky Department of Mathematics, University of Victoria, Victoria. B.C, Canada
&
P. van den Driessche Department of Mathematics, University of Victoria, Victoria. B.C, Canada
Pages 229-233 | Published online: 30 May 2007

References

  • Bauer , F. L. 1962 . On the field of values subordinate to a norm . Numerische Mathematik , 4 : 103 – 113 .
  • Coppel , W. A. 1965 . Stability and Asymptotic Behavior of Differential Equations , Boston : Heath .
  • Deutsch , Emeric . 1974 . Relatively bounded matrix sets,minimal matrix norms and numerical . Linear Algebra and its Applications , 8 : 447 – 457 .
  • Goldberg , M. and Zwas , G. 1974 . On Matrices having equal spectral radius and spectral . Linear Algebra and its Applications , 8 : 427 – 434 .
  • Householder , Alston S. 1959 . Minimal matrix norms . Monatsch. Math. , 63 : 344 – 350 .
  • Marcus , M. and Mine , H. 1964 . “ A Survey of Matrix Theory and Matrix Inequalities ” . In Prindle , Boston : Weber & Schmidt .
  • Pao , C. V. 1973 . Logarithmic derivatives of a square matrix . Linear Algebra and its Applications , 6 : 159 – 164 .
  • Pao , C. V. 1973 . A further remark on the logarithmic derivatives of a square matrix . Linear Algebra and its Applications , 7 : 275 – 278 .
  • Strom , Torsten . 1975 . On logarithmic norms . S.I.A.M. J. Numer. Anal. , 12 : 741 – 753 .

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