The minimum, diagonal element of a positive matrix

• Autorzy: M. R. F. Smyth , T. T. West
• Języki publikacji: EN

Abstrakty

EN

Properties of the minimum diagonal element of a positive matrix are exploited to obtain new bounds on the eigenvalues thus exhibiting a spectral bias along the positive real axis familiar in Perron-Frobenius theory.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 1998
• Tom: 131
• Numer: 1
• Strony: 95-99

Daty

wydano

1998

otrzymano

1997-11-12

Twórcy

autor

M. R. F. Smyth

• Northern Ireland Department of Health and Social Services, Belfast, U.K.

autor

T. T. West

• Trinity College, Dublin, Ireland

Bibliografia

• [1] M. Fiedler and V. Pták, On matrices with non-positive off-diagonal elements and positive principal minors, Czechoslovak Math. J. 12 (87) (1962), 382-400.
• [2] M. Marcus and H. Minc, A Survey of Matrix Theory and Matrix Inequalities, Dover, Mineola, N.Y., 1992.