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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References | Similar Articles | Additional Information
- Douglas E. Crabtree and Emilie V. Haynsworth, An identity for the Schur complement of a matrix, Proc. Amer. Math. Soc. 22 (1969), 364–366. MR 255573, DOI https://doi.org/10.1090/S0002-9939-1969-0255573-1
- Emilie V. Haynsworth, Determination of the inertia of a partitioned Hermitian matrix, Linear Algebra Appl. 1 (1968), no. 1, 73–81. MR 223392, DOI https://doi.org/10.1016/0024-3795%2868%2990050-5
- Marvin Marcus, An inequality for linear transformations, Proc. Amer. Math. Soc. 18 (1967), 793–797. MR 220759, DOI https://doi.org/10.1090/S0002-9939-1967-0220759-7
- Marvin Marcus and Henryk Minc, A survey of matrix theory and matrix inequalities, Allyn and Bacon, Inc., Boston, Mass., 1964. MR 0162808
- Marvin Marcus and Stephen Pierce, Extensions of the Minkowski inequality, Linear Algebra Appl. 1 (1968), no. 1, 13–27. MR 223383, DOI https://doi.org/10.1016/0315-0860%2874%2990181-5
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© Copyright 1970
American Mathematical Society