Linear operators preserving directional majorization

Linear Algebra and Its Applications

Volumn 325, Issue 1-3, 2001, Pages 141-146

  Li, Chi Kwong ^a   Poon, Edward ^b  

^a Asian and Middle Eastern Studies Program   (United States)

^b UNIVERSITY OF TORONTO   (Canada)

Author keywords

Directional majorization; Linear operator; Multivariate majorization

Indexed keywords

EID: 0035608428     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0024-3795(00)00328-1     Document Type: Article

References (4)

1. Ando T. Majorization, doubly stochastic matrices, and comparison of eigenvalues. Linear Algebra Appl. 118:1989;163-248.
2. Beasley L.B., Lee S.-G. Linear operators preserving multivariate majorization. Linear Algebra Appl. 304:2000;141-159.
3. S.K. Bhandari, Multivariate majorization and directional majorization: negative results, Calcutta Stat. Assoc. Bull. 45 (1995) 179-180, 149-159.
4. Marshall A.W., Olkin I. Inequalities: The Theory of Majorization and its Applications. 1979;Academic Press, New York.