Ali Armandnejad

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

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: LAP Lambert Academic Publishing
• Aufl.
• Seitenzahl: 76
• Erscheinungstermin: 10. November 2011
• Englisch
• Abmessung: 220mm x 150mm x 5mm
• Gewicht: 131g
• ISBN-13: 9783846531501
• ISBN-10: 3846531502
• Artikelnr.: 34453630

Autorenporträt

Ali was born in Kerman in 1977. He got his Ph.D. in mathematics from Kerman university in 2006. He has been associate professor of mathematics at the Vali-e-Asr university of Rafsanjan in 2011. He was the head of mathematics department of Vali-e-Asr university from 2009 to 2011. Ali interests in research include linear Algebra and matrix analysis.