Challenges in matrix theory 1998

Challenges in matrix theory 1998

LINEAR ALGEBRA AND ITS APPLICATIONS EISMER Linear Algebra and its Applications 278 (1998) 285 Challenges in Matrix Theory 1998 The papers that fo...

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LINEAR ALGEBRA AND ITS APPLICATIONS EISMER

Linear

Algebra

and its Applications

278 (1998) 285

Challenges in Matrix Theory 1998 The papers that follow contain the first six Challenges in Matrix Theory that followed our Call for ChalZenges in volume 233 of this Journal [l]. Richard Brualdi and Hans Schneider as editors-in-chief of Linear Algebra and its Applications, and Frank Uhlig as Challenges Coordinator have agreed to make this Challenges project an ongoing feature of this Journal. We solicit Challenge submissions on a continuous basis according to the stipulations set forth in [l] and provided that a sufficient number of Challenges are submitted to allow us to publish dedicated special Challenge sections in this Journal once every two years. Challenge paper submissions should be submitted by 15 January of any odd numbered year, for publication in the subsequent even year in an early volume of this Journal. The next submission deadline thus is 15 January 1999, with the next set of Challenges to appear early in the year 2000. Please submit your Challenges electronically in macro-free LaTeX or TeX form to the Challenges Coordinator, Frank Uhlig, e-mail: [email protected]. For the six Challenges below, please note from [l], that solutions to all or part of each Challenge problem will receive consideration to be featured at the nth ILAS Conference to be held at Auburn in 2002. Solvers should inform the Organizing Committee for ILAS at Auburn in 2002 of their results; see the ILAS Information Center at http:/www.math.temple.edu/iiclindexl .html in due time. Finally we thank all contributors, our thirty plus referees and the members of the Challenges Advisory Panel for their commitment to this project.

Frank Uhlig Challenges

References [I] Call for Challenges

in Matrix

Theory,

Linear

Algebra

Appl. 233 (1996) I-3

0024-3795/98/$19.00 0 1998 Elsevier Science Inc. All rights reserved. PII:SOO24-3795(97)10083-O

Coordinator