Add references

kgryte · kgryte · commit 933b3a65c2c0 · 2020-04-17T16:23:38.000-07:00
diff --git a/docs/references/bib.bib b/docs/references/bib.bib
@@ -2353,10 +2353,40 @@ @article{lawson:1979a
 	month = {sep},
 	number = {3},
 	numpages = {2},
-	pages = {324-325},
+	pages = {324--325},
 	publisher = {Association for Computing Machinery},
 	title = {{Algorithm 539: Basic Linear Algebra Subprograms for Fortran Usage [F1]}},
 	url = {https://doi.org/10.1145/355841.355848},
 	volume = {5},
 	year = {1979},
 }
+
+@article{neumair:1974a,
+	abstract = {The rounding‐error arising during summation can be interpreted as a measure for the quality of the procedure used. In the following, a‐priori‐bounds for this rounding‐error are used to compare several summation procedures, e.g. the common procedure and the method of Kahan‐Babuška.},
+	author = {Arnold Neumaier},
+	doi = {10.1002/zamm.19740540106},
+	journal = {Zeitschrift für Angewandte Mathematik und Mechanik},
+	keywords = {summation, numerical analysis, algorithms, math, kahan, precision, floating-point arithmetic},
+	month = {},
+	number = {1},
+	pages = {39--51},
+	title = {{Rounding Error Analysis of Some Methods for Summing Finite Sums}},
+	url = {https://onlinelibrary.wiley.com/doi/abs/10.1002/zamm.19740540106},
+	volume = {54},
+	year = {1974},
+}
+
+@article{klein:2005a,
+	abstract = {In this article, we combine recursive summation techniques with Kahan-Babu{\v s}ka type balancing strategies {$[$}1{$]$}, {$[$}7{$]$} to get highly accurate summation formulas. An i-th algorithm have only error beyond 1upl and thus allows to sum many millions of numbers with high accuracy. The additional afford is a small multiple of the naive summation. In addition we show that these algorithms could be modified to provide tight upper and lower bounds for use with interval arithmetic.},
+	author = {Andreas Klein},
+	doi = {10.1007/s00607-005-0139-x},
+	journal = {Computing},
+	keywords = {summation, numerical analysis, algorithms, math, kahan, precision, floating-point arithmetic},
+	month = {nov},
+	number = {3},
+	pages = {279--293},
+	title = {{A Generalized Kahan-Babu{\v s}ka-Summation-Algorithm}},
+	url = {https://doi.org/10.1007/s00607-005-0139-x},
+	volume = {76},
+	year = {2005},
+}
