The Re-nonnegative definite solutions to the matrix equation $AXB=C$
Wang, Qing Wen ; Yang, Chang Lan
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998), p. 7-13 / Harvested from Czech Digital Mathematics Library
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An $n\times n$ complex matrix $A$ is called Re-nonnegative definite (Re-nnd) if the real part of $x^{\ast } Ax$ is nonnegative for every complex $n$-vector $x$. In this paper criteria for a partitioned matrix to be Re-nnd are given. A necessary and sufficient condition for the existence of and an expression for the Re-nnd solutions of the matrix equation $AXB=C$ are presented.

Publié le : 1998-01-01
Classification:  15A24,  15A57 
@article{118980,
     author = {Qing Wen Wang and Chang Lan Yang},
     title = {The Re-nonnegative definite solutions to the matrix equation $AXB=C$},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {39},
     year = {1998},
     pages = {7-13},
     zbl = {0937.15008},
     mrnumber = {1622312},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118980}
}

Wang, Qing Wen; Yang, Chang Lan. The Re-nonnegative definite solutions to the matrix equation $AXB=C$. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) pp. 7-13. http://gdmltest.u-ga.fr/item/118980/

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