LINEAR FUNCTIONS PRESERVING MULTIVARIATE AND DIRECTIONAL MAJORIZATION

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ARMANDNEZHAD A.; AFSHIN H.R.

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Journal: Iranian Journal of Mathematical Sciences and Informatics Year:2010 | Volume:5 | Issue:1 Page(s): 1-5

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Title

LINEAR FUNCTIONS PRESERVING MULTIVARIATE AND DIRECTIONAL MAJORIZATION

Author(s)

ARMANDNEZHAD A. | AFSHIN H.R. | Issue Writer Certificate

Keywords

DOUBLY STOCHASTIC MATRICES

DIRECTIONAL MAJORIZATION

MULTIVARIATE MAJORIZATION

LINEAR PRESERVER

Abstract

Let V and W be two real vector spaces and let ~ be a relation on both V and W. A linear function T : V ® W is said to be a LINEAR PRESERVER (respectively strong LINEAR PRESERVER) of ~ if Tx ~ Ty whenever x ~ y (respectively Tx ~ Ty if and only if x ~ y). In this paper we characterize all linear functions T : Mn,m ® Mn, k which preserve or strongly preserve multivariate and DIRECTIONAL MAJORIZATION.

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APA: Copy

ARMANDNEZHAD, A., & AFSHIN, H.R.. (2010). LINEAR FUNCTIONS PRESERVING MULTIVARIATE AND DIRECTIONAL MAJORIZATION. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 5(1), 1-5. SID. https://sid.ir/paper/310291/en

Vancouver: Copy

ARMANDNEZHAD A., AFSHIN H.R.. LINEAR FUNCTIONS PRESERVING MULTIVARIATE AND DIRECTIONAL MAJORIZATION. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2010;5(1):1-5. Available from: https://sid.ir/paper/310291/en

IEEE: Copy

A. ARMANDNEZHAD, and H.R. AFSHIN, “LINEAR FUNCTIONS PRESERVING MULTIVARIATE AND DIRECTIONAL MAJORIZATION,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 5, no. 1, pp. 1–5, 2010, [Online]. Available: https://sid.ir/paper/310291/en

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