Accession Number : AD0657567
Title : SUMMATION OF SERIES OF POSITIVE TERMS BY CONDENSATION TRANSFORMATIONS.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Daniel,James W.
Report Date : APR 1967
Pagination or Media Count : 17
Abstract : The condensation transformation, which maps series of positive terms into more conveniently summed alternating series, each term v sub j of which is itself an infinite series, is discussed with examples. It is shown that for a large class of extremely slowly convergent series (essentially those dominated by the 'logarithmic scale') the series defining the terms v sub j are more easily summed than the original and may in fact be transformed further if desired. Numerical examples reveal the power of the method. (Author)
Descriptors : (*SERIES(MATHEMATICS), CONVERGENCE), (*TRANSFORMATIONS(MATHEMATICS), SERIES(MATHEMATICS)), NUMERICAL ANALYSIS, SEQUENCES(MATHEMATICS), ALGORITHMS, THEOREMS
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE