Experiments on Gram-Schmidt orthogonalization

Experiments on Gram-Schmidt orthogonalization
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DOI:
10.1090/s0025-5718-1966-0192673-4
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发表时间:
1966-05
影响因子:
2
通讯作者:
J. Rice
J. Rice
中科院分区:
数学2区
文献类型:
--
作者:
J. Rice

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(3)除了解决方案为我k?104、我?< 99999;正k为1221,负k为799。绝大多数解的y < 100,表2给出了各种y范围的解的数量。解的个数是y的一个快速递减的函数,这一事实表明,对于至少某个k,解集可能是完备的。
(3) In addition to solutions for I k ? 104 and I k ? < 99999; there are 1221 for positive k and 799 for negative k. The vast majority of solutions are with y < 100 and Table 2 gives the number of solutions for various ranges of y. The fact that the number of solutions is a rapidly decreasing function of y suggests that for at least some k the solution set may be complete.