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Applications of an inequality for the Schur complement


Author: Emilie V. Haynsworth
Journal: Proc. Amer. Math. Soc. 24 (1970), 512-516
MSC: Primary 15.58
DOI: https://doi.org/10.1090/S0002-9939-1970-0255580-7
MathSciNet review: 0255580
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  • [1] D. Crabtree and E. Haynsworth, An identity for the Schur complement of a matrix, Proc. Amer. Math. Soc. 22 (1969), 364-366. MR 0255573 (41:234)
  • [2] E. Haynsworth, Determination of the inertia of a partitioned Hermitian matrix, Linear Algebra and Appl. 1 (1968), no. 1, 73-81. MR 36 #6440. MR 0223392 (36:6440)
  • [3] M. Marcus, An inequality for linear transformations, Proc. Amer. Math. Soc. 18 (1967) 793-797. MR 36 #3811. MR 0220759 (36:3811)
  • [4] M. Marcus and H. Minc, A survey of matrix theory and matrix inequalities, Allyn & Bacon, Boston, Mass., 1964, p. 115. MR 29 #112. MR 0162808 (29:112)
  • [5] M. Marcus and S. Pierce, Extensions of the Minkowski inequality, Linear Algebra and Appl. 1 (1968), no. 1, 13-27. MR 36 #6431. MR 0223383 (36:6431)

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DOI: https://doi.org/10.1090/S0002-9939-1970-0255580-7
Article copyright: © Copyright 1970 American Mathematical Society

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