Matrix interval monotonicity

• Autorzy: Jayaraman S. , Sivakumar K.
• Języki publikacji: EN

Abstrakty

EN

We propose new notions of monotonicity for real matrices in order to characterize a particular notion of interval boundedness of various generalized inverses.

Słowa kluczowe

EN

monotonity; interval boundeness; generalized inverses

PL

macierze; monotoniczność

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2010
• Tom: Vol. 43, nr 1
• Strony: 1--10
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Jayaraman S.

autor

Sivakumar K.

• Chennai Mathematical Institute Plot H1, Sipcot It Park Padur P.O. Siruseri - 603 103, India,

Bibliografia

• [1] A. Ben-Israel, T. N. E. Greville, Generalized Inverses: Theory and Applications, 2nd Ed., Springer Verlag, New York, 2003.
• [2] A. Berman, R. J. Plemmons, Monotonicity and the generalized inverse, SIAM J. Appl. Math. 22(2) (1972), 155-161.
• [3] A. Berman, R. J. Plemmons, Matrix group monotonicity, Proc. Amer. Math. Soc. 46(3) (1974), 355-359.
• [4] A. Berman, R. J. Plemmons, Eight types of matrix monotonicity, Linear Algebra Appl. 13 (1976), 115-123.
• [5] A. Berman, R. J. Plemmons, Nonnegative Matrices in the Mathematical Sciences, 2nd Ed., SIAM Classics in Applied Mathematics, 1994.
• [6] L. Collatz, Functional Analysis and Numerical Mathematics, Academic Press, New York, 1966.
• [7] O. L. Mangasarian, Characterizations of real matrices of monotone kind, SIAM Rev. 10 (1968), 439-441.
• [8] J. Rohn, Enclosing solutions of over determined systems of linear interval equations, Technical Report No. 643, Institute of Computer Science, Academy of Sciences of the Czech Republic, Prague 1995