A NUMERICAL STUDY OF CONJUGATE GRADIENT DIRECTIONS FOR AN ULTRASOUND INVERSE PROBLEM

DOI10.1142/S0218396X04002377zbMath1068.65150MaRDI QIDQ4671044

Patrick J. Flynn, Shira L. Broschat, Xiao-Dong Zhang

Publication date: 23 April 2005

Published in: Journal of Computational Acoustics (Search for Journal in Brave)

zbMATH Keywords

optimizationnumerical examplesinverse problemserror boundsconjugate gradient methodinverse scatteringimagingconjugate gradient directionsnonlinear ill-posed integral equationultrasound inverse problems

Mathematics Subject Classification ID

Nonlinear programming (90C30) Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Hydro- and aero-acoustics (76Q05) Inverse problems for integral equations (45Q05)

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Cites Work

• A modified gradient method for two-dimensional problems in tomography
• Bi-CGSTAB: A Fast and Smoothly Converging Variant of Bi-CG for the Solution of Nonsymmetric Linear Systems
• Function minimization by conjugate gradients
• Convergence Conditions for Ascent Methods
• The conjugate gradient method in extremal problems
• Methods of conjugate gradients for solving linear systems