A Note on Chessboard Matrices
Paulus Gerdes (2002)
Visual Mathematics
Noui, Lemnouar (2007)
APPS. Applied Sciences
Yang, Shi-Ming, Huang, Ting-Zhu (2005)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Jens Peter Reuss Christensen, J. Vesterstrom (1979)
Mathematische Annalen
Elia, Michele (2001)
International Journal of Mathematics and Mathematical Sciences
Ren, Zhi-Gang, Huang, Ting-Zhu, Cheng, Xiao-Yu (2006)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Bo Zhou (2004)
Kragujevac Journal of Mathematics
Ladislav Skula (2004)
Acta Mathematica Universitatis Ostraviensis
Liu, Zhibing, Wang, Kanmin, Xu, Chengfeng (2011)
Journal of Inequalities and Applications [electronic only]
Geir Dahl (2013)
Special Matrices
The notion of a transfer (or T -transform) is central in the theory of majorization. For instance, it lies behind the characterization of majorization in terms of doubly stochastic matrices. We introduce a new type of majorization transfer called L-transforms and prove some of its properties. Moreover, we discuss how L-transforms give a new perspective on Ryser’s algorithm for constructing (0; 1)-matrices with given row and column sums.
Hogben, Leslie (2011)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Neumann, Michael, Xu, Jianhong (2006)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Miroslav Fiedler (1977)
Mathematica Slovaca
Raena Farhadsefat, Taher Lotfi, Jiri Rohn (2012)
Open Mathematics
We present a sufficient regularity condition for interval matrices which generalizes two previously known ones. It is formulated in terms of positive definiteness of a certain point matrix, and can also be used for checking positive definiteness of interval matrices. Comparing it with Beeck’s strong regularity condition, we show by counterexamples that none of the two conditions is more general than the other one.
Nelo D. Allan (1969)
Revista colombiana de matematicas
Sadkane, Miloud, Salam, Ahmed (2008)
ETNA. Electronic Transactions on Numerical Analysis [electronic only]
Knudsen, C., McDonald, J.J. (2001)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Shaked-Monderer, Naomi (2005)
ELA. The Electronic Journal of Linear Algebra [electronic only]
Garcia Armas, Mario, Sethuraman, B.A. (2008)
Journal of Integer Sequences [electronic only]
Li, Hongkui, Li, Ranran (2011)
Mathematical Problems in Engineering