G-stochastic matrices and linear preservers of G-majorization kitap kapağı
Kitap başlığı:

G-stochastic matrices and linear preservers of G-majorization

Linear preservrs of g-majorization on the space of n by m real or complex matrices

LAP LAMBERT Academic Publishing (2011-11-10 )

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ISBN-13:

978-3-8465-3150-1

ISBN-10:
3846531502
EAN:
9783846531501
Kitabın dili:
İngilizce
Özet:
Let Mn be the algebra of all n by n real or complex matrices. A nonneg- ative matrix R in Mn which all it's row sums are equal one is said to be row stochastic matrix. A column stochastic matrix is the transpose of a row stochastic matrix. A matrix D in Mn with the property that D and D^t are row stochastic matrices is said to be doubly stochastic matrix. A matrix R in Mn which all it's row sums are equal one is said to be g-row stochastic matrix. A matrix C in Mn which all it's column sums are equal one is said to be g-column stochastic matrix. A matrix D in Mn with the property that D and D^t are g-row stochastic matrices is said to be g-doubly stochastic matrix. The matrix B is said to be gw-majorized (or gs-majorized) by A if there exists an n by n g-row (or g-doubly) stochastic matrix R such that B=RA, and denoted by AgwB(orA gs B). we will characterize all linear operators that : (1) preserve (or strongly preserve) gw-majorization on Rn and Mn. (2) preserve (or strongly preserve) gs-majorization on Mn,m.
Yayınevi:
LAP LAMBERT Academic Publishing
Websitesi:
https://www.lap-publishing.com/
Yazar:
Ali Armandnejad
Sayfa sayısı:
76
Yayın tarihi:
2011-11-10
Hisse:
Mevcut
Kategori:
Matematik
Fiyat:
49.00 €
Anahtar kelimeler:
Linear preserver, g-majorization, doubly stochastic matrices.

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