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On solving Fredholm integral equations of the first kind

DSpace at IIT Bombay

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Title On solving Fredholm integral equations of the first kind
 
Creator SAHASRABUDHE, SC
KULKARNI, AD
 
Subject integral equations
fredholm integral equations
random function
 
Description A method for numerical solution of Fredholm integral equations of the first kind is derived and
illustrated The solution f(x) of the integral equation is assumed to be a sample function of a wide-sense
stationary random process with known autocorrelaUon function. From the set of permissible solutions, the
solution that "best" satisfies the statistical properties of the random process is admitted as the correct
solution With a kernel matrix A, the search for this solution is carried out by introducing the orthogonal
frame of reference of the symmetrized matrix ArA and then suitably adjusting the components along the
principal axes with small eigenvalues ofATA (1 e small singular values ofA), The method is illustrated for an
example first considered by Philhps and also for another problem from the area of image processing.
 
Publisher Association for Computing Machinery
 
Date 2009-06-20T06:31:25Z
2011-12-08T08:09:12Z
2011-12-26T13:02:38Z
2011-12-27T05:49:13Z
2009-06-20T06:31:25Z
2011-12-08T08:09:12Z
2011-12-26T13:02:38Z
2011-12-27T05:49:13Z
1977
 
Type Article
 
Identifier Journal of the Association for Computing Machinery 24(4), 624-629
0004-5411
10.1145/322033.322041
http://hdl.handle.net/10054/1540
http://dspace.library.iitb.ac.in/xmlui/handle/10054/1540
 
Language en