On a theorem of Everitt, Thompson, and de Pillis

Miroslav Fiedler; Thomas L. Markham

Mathematica Slovaca (1994)

  • Volume: 44, Issue: 4, page 441-444
  • ISSN: 0139-9918

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Fiedler, Miroslav, and Markham, Thomas L.. "On a theorem of Everitt, Thompson, and de Pillis." Mathematica Slovaca 44.4 (1994): 441-444. <http://eudml.org/doc/31984>.

@article{Fiedler1994,
author = {Fiedler, Miroslav, Markham, Thomas L.},
journal = {Mathematica Slovaca},
keywords = {partitioned matrix; positive semidefinite matrix; elementary symmetric function; eigenvalues},
language = {eng},
number = {4},
pages = {441-444},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {On a theorem of Everitt, Thompson, and de Pillis},
url = {http://eudml.org/doc/31984},
volume = {44},
year = {1994},
}

TY - JOUR
AU - Fiedler, Miroslav
AU - Markham, Thomas L.
TI - On a theorem of Everitt, Thompson, and de Pillis
JO - Mathematica Slovaca
PY - 1994
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 44
IS - 4
SP - 441
EP - 444
LA - eng
KW - partitioned matrix; positive semidefinite matrix; elementary symmetric function; eigenvalues
UR - http://eudml.org/doc/31984
ER -

References

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  1. de PILLIS J., Transformations on partitioned matrices, Duke Math. J. 36 (1969). 511-515. (1969) Zbl0186.33703MR0325649
  2. EVERITT W. N., A note on positive definite matrices, Proc. Glasgow Math. Assoc. 3 (1958), 173-175. (1958) Zbl0096.00804MR0096690
  3. OPPENHEIM A., Inequalities connected with definite Hermitian forms, J. London Math. Soc. 5 (1930), 114-119. (1930) MR1574213
  4. SCHUR I., Bemerkungen zur Theorie der heschränkten Bilinearformen mit unendlich vielen Veränderlichen, J. Reine Angew. Math. 140 (1911), 1-28. (1911) 
  5. THOMPSON R. C., A determinantal inequality for positive definite matrices, Canad. Math. Bull. 4 (1961), 57-62. (1961) Zbl0104.01201MR0142564

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