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The Use of Floating-Point and Interval Arithmetic in the Computation of Error Bounds
April 1983 (vol. 32 no. 4)
pp. 411-417
| ASCII Text | x | ||
| D.W. Lozier, "The Use of Floating-Point and Interval Arithmetic in the Computation of Error Bounds," IEEE Transactions on Computers, vol. 32, no. 4, pp. 411-417, April, 1983. | |||
| BibTex | x | ||
| @article{ 10.1109/TC.1983.1676245, author = {D.W. Lozier}, title = {The Use of Floating-Point and Interval Arithmetic in the Computation of Error Bounds}, journal ={IEEE Transactions on Computers}, volume = {32}, number = {4}, issn = {0018-9340}, year = {1983}, pages = {411-417}, doi = {http://doi.ieeecomputersociety.org/10.1109/TC.1983.1676245}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, } | |||
| RefWorks Procite/RefMan/Endnote | x | ||
| TY - JOUR JO - IEEE Transactions on Computers TI - The Use of Floating-Point and Interval Arithmetic in the Computation of Error Bounds IS - 4 SN - 0018-9340 SP411 EP417 EPD - 411-417 A1 - D.W. Lozier, PY - 1983 KW - rounding error analysis KW - Arithmetic algorithms KW - error propagation KW - floating-point computation KW - inner-product accumulation KW - interval analysis KW - interval arithmetic KW - relative precision VL - 32 JA - IEEE Transactions on Computers ER - | |||
Three forms of interval floating-point arithmetic are defined in terms of absolute precision, relative precision, and combined absolute and relative precision. The absolute-precision form corresponds to the centered form of conventional rounded-interval arithmetic. The three forms are compared on the basis of the number of floating-point operations needed to generate error bounds for inner-product accumulation.
Index Terms:
rounding error analysis, Arithmetic algorithms, error propagation, floating-point computation, inner-product accumulation, interval analysis, interval arithmetic, relative precision
Citation:
D.W. Lozier, "The Use of Floating-Point and Interval Arithmetic in the Computation of Error Bounds," IEEE Transactions on Computers, vol. 32, no. 4, pp. 411-417, April 1983, doi:10.1109/TC.1983.1676245
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