A Schur complement inequality for certain P-matrices

Linear Algebra and Its Applications

Volumn 281, Issue 1-3, 1998, Pages 33-41

  Markham, Thomas L ^a   Smith, Ronald L ^b  

^a UNIVERSITY OF SOUTH CAROLINA   (United States)

^b UNIVERSITY OF TENNESSEE AT CHATTANOOGA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042638218     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(98)10023-X     Document Type: Article

References (12)

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4. R.A. Horn, C.R. Johnson, Matrix Analysis, Cambridge University Press, New York, 1985.
5. T.L. Markham, A semigroup of totally nonnegative matrices, Linear Algebra Appl. 3 (1970) 157-164.
6. A. Berman, R.J. Plemmons, Nonnegative Matrices in the Mathematical Sciences, Academic Press, San Diego, 1979.
7. K. Fan, Inequalities for M-matrices, Proc. Koninkl. Ned. Akad. Wetenschap. Ser. A 67 (1964) 602-610.
8. R.L. Smith, On Fan products of Z-matrices, Linear and Multilinear Algebra 37 (1994) 297-302.
9. M. Fiedler, T. Markham, A classification of matrices of class Z, Linear Algebra Appl. 173 (1992) 115-124.
10. M. Fiedler, V. Pták, On matrices with non-positive off-diagonal elements and positive principal minors, Czech. Math. J. 12 (1962) 382-400.
11. L.J. Watford Jr., M-matrices with respect to a cone, Ph.D. Dissertation, Auburn University, 1971.
12. B.Y. Wang, F. Zhang, Schur complements and matrix inequalities of Hadamard products, Linear and Multilinear Algebra 43 (1997) 315-326.