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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2020 Volume 496, Pages 195–215 (Mi znsl7024)

This article is cited in 3 papers

Converting column majorization

P. M. Shteynerabc

a Lomonosov Moscow State University
b Moscow Center for Fundamental and Applied Mathematics
c Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region

Abstract: The paper characterizes linear operators converting column majorization into weak, directional, and strong majorizations. An example of a linear converter from weak, directional, and strong majorizations to column majorization preserving none of these majorizations is provided.

Key words and phrases: matrix majorization, vector majorization, linear preservers, linear converters.

UDC: 512.643

Received: 01.10.2020



© Steklov Math. Inst. of RAS, 2024