Geodesic
A regular algorithm for finding the basis of the kernel of a linear operator
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 5, pp. 1041-1051

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A regular algorithm is devised for determining approximately the special basis in the kernel of a linear continuous operator, specified with an error. An example is given of realizing the algorithm for a linear Fredholm integral operator, arising when processing the data of X-ray structural analysis. Features of the solution of a linear Fredholm integral equation of the 1st kind, connected with the non-uniqueness of the solution in the context of a special accuracy, are discussed. 
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     author = {A. L. Ageev},
     title = {A regular algorithm for finding the basis of the kernel of a linear operator},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1041--1051},
     publisher = {mathdoc},
     volume = {23},
     number = {5},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_5_a1/}
}
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A. L. Ageev. A regular algorithm for finding the basis of the kernel of a linear operator. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 5, pp. 1041-1051. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_5_a1/