Channel coding considerations for wireless LANs
Daniel J. Costello Jr., Pierre R. Chevillat, et al.
ISIT 1997
If PA(χ) denotes the probability that the maximum condition number along a great circle passing through a matrix A in the unit sphere in the space of 2 × 2 matrices is less than χ, then PA(χ) always attains its maximum at the normalized identity matrix. This result is the first nontrivial case of a linear algebra version of a conjecture formulated in Shub and Smale (M. Shub and S. Smale, Theoretical Computer Science 113 (1994) 141-164) for homotopies of systems of homogeneous equations. The Hopf fibration is used to relate the probability PA(χ) to the area of an 'ellipse' on a sphere in ℝ3. © 1999 Elsevier Science Inc. All rights reserved.
Daniel J. Costello Jr., Pierre R. Chevillat, et al.
ISIT 1997
Vladimir Yanovski, Israel A. Wagner, et al.
Ann. Math. Artif. Intell.
Andrew Skumanich
SPIE Optics Quebec 1993
Heinz Koeppl, Marc Hafner, et al.
BMC Bioinformatics