27
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

A generalization of hadamard's inequality

Pages 75-84 | Received 31 May 1991, Published online: 27 Jun 2007

References

  • Fischer , E. 1907 . Über den Hadamardschen determinantensatz . Archiv. d. Math. u. Phys. , 13 ( 3 ) : 32 – 40 .
  • Grone , R. and Merris , R. 1987 . A Fischer inequality for the second immanant . Linear Algebra and its Applications , 87 ( 3 ) : 77 – 83 .
  • Grone , R. and Merris , R. 1987 . A Hadamard inequality for the third and fourth immanants . Linear and Multilinear Algebra , 21 ( 3 ) : 201 – 209 .
  • Grone , R. , Merris , R. and Watkins , W. 1986 . A Hadamard dominance theorem for a class of immanants . Linear and Multilinear Algebra , 19 ( 3 ) : 167 – 171 .
  • Hadamard , J. 1893 . Résolution d'unc question relative aux déterminants . Bull. Sci. math. , 2 ( 3 ) : 240 – 248 .
  • Heyfron , P. 1988 . Immananl dominance orderings for hook partitions . Linear and Multilinear Algebra , 24 ( 3 ) : 65 – 78 .
  • Heyfron , P. 1991 . Some inequalities concerning immanants . Math. Proc. Camb. Phil. Soc. , 109 ( 3 ) : 15 – 30 .
  • Heyfron , P. 1989 . “ Positive functions defined on Hcirnitian positive semi-definite matrices ” . In Ph.D- thesis , University of London .
  • James , G. D. 1978 . “ The representation theory of the symmetric groups ” . In Lecture Notes in Mathematics , Berlin-Heidelberg-New York : Springer-Verlag .
  • James , G. D. and Liebeck , M. W. 1987 . Permanents and immanants of hermitian matrices . Proc. London Math. Soc. , 55 ( 3 ) : 243 – 265 .
  • Johnson , C. R. 1987 . “ The permanent-on-top conjecture: A status report ” . In Current Trends in Matrix Theory Edited by: Uhlig , F. and Grone , R. 167 – 174 . North-Holland
  • Marcus , M. 1964 . The Hadamard theorem for permanents . Proc. Amer. Math. Soc. , 15 : 967 – 973 .
  • Merris , R. 1987 . “ The permancntai dominance conjecture ” . In Current Trends in Matrix Theory Edited by: Uhlig , F. and Grone , R. 213 – 223 . North-Holland
  • Merris , R. 1987 . Oppenheim's inequality for the second immanant . Canad. Math. Bull. , 30 ( 3 ) : 367 – 369 .
  • Minc , H. 1978 . “ Permanents ” . In Encyclopedia of Mathematics , Vol. 6 , Addison-Wesley .
  • Pate , T. H. 1978 . Partitions, irreducible characters, and inequalities for generalized matrix functions . Trans. Amer. Math. Soc , 6 to appear
  • Schur , I. 1918 . Über endliche Gruppen und Hermitesche Formen . Math. Z. , 1 : 184 – 207 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.