On the Stopping Criteria for Conjugate Gradient Solutions of First-Kind Integral Equations in Two Variables

Haiyan Cheng and Barbara Bertram

Chapter 9 in Integral Methods in Science and Engineering, 2002, pp 57-62 from Springer

Abstract: Abstract In this chapter, we investigate the conjugate gradient method for solving first-kind integral equations in two variables. A typical application problem would be the 2-D image reconstruction problem. For example, if we take a picture from far above the atmosphere, owing to the precision of the physical equipment, there will be some deviation between the picture and the original object, not to mention the effects posed by air turbulence, clouds, and perhaps pollution.

Keywords: Kernel Function; Conjugate Gradient; Point Spread Function; Conjugate Gradient Method; Fredholm Integral Equation (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0111-3_9

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DOI: 10.1007/978-1-4612-0111-3_9

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