G-stochastic matrices and linear preservers of G-majorization
für 44.10€ kaufen ··· 9783846531501 ··· 1036187399 ··· 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. Hersteller: LAP Lambert Academic Publishing Marke: LAP Lambert Academic Publishing EAN: 9783846531501 Kat: Hardcover/Naturwissenschaften, Medizin, Informatik, Technik/Mathematik Lieferzeit: Sofort lieferbar Versandkosten: Ab 20¤ Versandkostenfrei in Deutschland Icon: https://www.inforius-bilder.de/bild/?I=NCE7yTi464Q5yfK2JzOC8Q1bZH79JvqSA3VfZQSqOuo%3D Bild:
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