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- Ian Barrodale, D. Skea, M. Berkley, R. Kuwahara, R. Poeckert
- Pattern Recognition
- 1993

- D. Skea, Ian Barrodale, R. Kuwahara, R. Poeckert
- Pattern Recognition
- 1993

- Ian Barrodale, C. Phillips
- ACM Trans. Math. Softw.
- 1975

DESCRIPTION The algorithm calculates a Chebyshev (or l~) solution to an m X n overdetermined system of linear equations Ax = b, i.e. given equations the subroutine determines a vector x* = ['xl*, x~*,..., x,,*'] r which minimizes the maximum absolute value of the residuals (1) The algorithm can be used to solve the linear Chebyshev data fitting problem.… (More)

- Ian Barrodale, F. D. K. Roberts
- ACM Trans. Math. Softw.
- 1980

- Ian Barrodale, R. Kuwahara, R. Poeckert, D. Skea
- Numerical Algorithms
- 1993

- N R Chapman, I Barrodale
- 2006

The trace measured in a marine seismic experiment can be expressed as the convolution of a source wavelet and a sparsely populated spike train which represents the impulse response of the medium. Deconvolu-tion processing using the II norm criterion has been suggested by Taylor, Banks & McCoy to obtain estimates of the impulse response from noisy traces.… (More)

- Fausto Milinazzo, Cedric A. Zala, Ian Barrodale
- IEEE Trans. Acoustics, Speech, and Signal…
- 1987

When analyzing linear systems of equations, the most important indicator of potential instability is the condition number of the matrix. For a convolution matrix W formed from a series w (where Wij defines the stabirity of the deconvolution process. For the larger con-volution matrices commonly encountered in practice, direct computation of the condition… (More)

- Cedric A. Zala, Ian Barrodale
- Adv. Comput. Math.
- 1999

1. INTRODUCTION Geographic Information Systems (GIS) provide well-developed tools for query, analysis and display of point, line, and polygon data, and there are well-developed communities that use these data types and rely heavily on GIS tools. Many meteorological datasets consist of combinations of time series and grids. Tools for query, analysis and… (More)

- Ian Barrodale, G. F. Stuart
- ACM Trans. Math. Softw.
- 1981

DESCRIPTION Given any n × n system of linear equations A x = b (1) and a n u m b e r e, the algorithm calculates the solution x to (1), if ~ _< O, or an approximation solution x (k) satisfying I[b-A x (k) II~ < e, (2) if E > 0. Furthermore, if A appears to be singular, an approximate solution to (1) is still determined, although it does not satisfy (2). The… (More)