FUNCTIONS PRESERVING NONNEGATIVITY OF MATRICES

The main goal of this work is to determine which entire functions preserve nonnegativity of matrices of a fixed order $n$--i.e., to characterize entire functions $f$ with the property that $f(A)$ is entrywise nonnegative for every entrywise nonnegative matrix $A$ of size $n\times n$. Toward this goa...

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Veröffentlicht in:	SIAM journal on matrix analysis and applications 2008, Vol.30 (1), p.84-101
Hauptverfasser:	BHARALI, Gautam, HOLTZ, Olga
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Applied mathematics Eigenvalues Exact sciences and technology Functions of a complex variable Linear and multilinear algebra, matrix theory Mathematical analysis Mathematics Numerical analysis Numerical analysis. Scientific computation Numerical linear algebra Sciences and techniques of general use
Online-Zugang:	Volltext
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