The inverse-scattering problem and global convergence

Journal of the Acoustical Society of America

Volumn 118, Issue 3 I, 2005, Pages 1534-1539

  Norton, Stephen J ^a  

^a Geophex Ltd   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ERROR ANALYSIS; ITERATIVE METHODS; SCATTERING;

INVERSE-SCATTERING PROBLEM; MEAN-SQUARE ERROR; NONLINEARITY;

ACOUSTICS;

ACOUSTICS; ALGORITHM; ARTICLE; FREQUENCY MODULATION; MATHEMATICAL ANALYSIS; MODEL; NONLINEAR SYSTEM; PRIORITY JOURNAL; SOUND PRESSURE;

EID: 24944465663     PISSN: 00014966     EISSN: None     Source Type: Journal    
DOI: 10.1121/1.1979407     Document Type: Article

References (5)

1. S. J. Norton, "Iterative inverse-scattering algorithms: Methods for computing the Frechet derivative," J. Acoust. Soc. Am. 106, 2653-2660 (1999).
2. n(p). For N equations in N unknowns, these conditions imply, generally speaking, the possibility of multiple solutions to the first equation in this footnote and thus multiple local minima.
3. P. H. Gill, W. Murray, and M. H. Wright, Practical Optimization (Academic, New York, 1981).
4. W. H. Press, S. A. Teukolsky, W. T. Vettering, and B. P. Flannery, Numerical Recipes in Fortran, 2nd ed. (Cambridge U.P., New York, 1992), p. 375.
5. J. M. Ortega and W. C. Rheinboldt, Iterative Solution of Nonlinear Equations in Several Variables (Academic, New York, 1970), pp. 230-235.