Open problems in matrix theory

We survey some open problems in matrix theory by brie∞y describing their history and current state.

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[43]  Perron vector bounds for a tournament matrix with applications to a conjecture of Brualdi and Li , 1997 .

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[56]  M. SIAMJ.,et al.  EXTREMAL EIGENVALUES OF REAL SYMMETRIC MATRICES WITH ENTRIES IN AN INTERVAL ∗ , 2006 .

[57]  The Iterated Aluthge Transform of an Operator , 2003 .

[58]  T. Andô.  Aluthge Transforms and the Convex Hull of the Eigenvalues of a Matrix , 2004 .

[59]  Rajendra Bhatia,et al.  Linear Algebra to Quantum Cohomology: The Story of Alfred Horn's Inequalities , 2001, Am. Math. Mon..

[60]  R. Bhatia.  Positive Definite Matrices , 2007 .