Details of Grant 

EPSRC Reference:	GR/R22414/01
Title:	Hyperbolic Transformations:Numerical Algorithms and Stability
Principal Investigator:	Higham, Professor NJ
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Department:	Mathematics
Organisation:	Victoria University of Manchester, The
Scheme:	Standard Research (Pre-FEC)
Starts:	01 August 2001	Ends:	31 January 2002	Value (£):	8,159
EPSRC Research Topic Classifications:	Numerical Analysis
EPSRC Industrial Sector Classifications:	No relevance to Underpinning Sectors
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Summary on Grant Application Form
We plan to develop numerical methods and associated rounding error and stability analysis for hyperbolic transformations, with particular reference to the computation of the hyperbolic QR factorization and the hyperbolic singular value decomposition. An important application is to the indefinite least squares problem, a relatively new problem with a number of applications. We will carry out a pertrubation analysis of the indefinite least squares problem and compare the hyperbolic QR factorization-based method, a normal equations method, and a method recently proposed by Chandrasekeran et al. Another application that motivates this work is direction-of-arrival estimation in signal processing. We will also develop methods for solving a weighted Procrustes problem arising in a medical application and for which no satisfactory method of solution currently exists.
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