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The Parallel Complexity of Arithmetic Computation
1977Results on the computational complexity of performing several standard types of arithmetic computations in a parallel processing environment are surveyed. The essential equivalence of matrix inversion and the problem of computing the nth power of a matrix in the parallel setting is demonstrated as evidence suggesting an interesting lower bound on the ...
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The Mathematics Teacher, 1971
Students new to computer programming often write computer programs that fail to perform as expected. Seeking to correct the resulting deficiencies, the student often looks in vain for an error in logic, when the true cause of the trouble may be a failure to consider the nature of computer arithmetic.
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Students new to computer programming often write computer programs that fail to perform as expected. Seeking to correct the resulting deficiencies, the student often looks in vain for an error in logic, when the true cause of the trouble may be a failure to consider the nature of computer arithmetic.
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Higher Order Computer Arithmetic
1985 IEEE 7th Symposium on Computer Arithmetic (ARITH), 1985The floating-point arithmetic on computers is designed to approximate the corresponding operations over the real numbers as close as possible. In this paper it is shown by means of counterexamples that this need not to be true for existing machines. For achieving good numerical results a floating-point arithmetic approximating the real operations as ...
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What every computer scientist should know about floating-point arithmetic
CSUR, 1991David Goldberg
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Arithmetic and control techniques in a multiprogram computer
IRE-AIEE-ACM '59 (Eastern), 1899N. Lourie +3 more
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A NEW ARITHMETIC FOR SCIENTIFIC COMPUTATION
1983The paper summarizes an extensive research activity in computer arithmetic and scientific computation that went on during the last fifteen years. We also discuss the experience gained through various implementations of a new approach to arithmetic on diverse processors including microprocessors.
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An Axiomatic Approach to Computer Arithmetic with an Appendix on Interval Hardware
Parallel Processing and Applied Mathematics, 2011U. Kulisch
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Computer arithmetic implemented with QCA: A progress report
2010 Conference Record of the Forty Fourth Asilomar Conference on Signals, Systems and Computers, 2010E. Swartzlander +3 more
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Computing with Arithmetic Groups
Proceedings of the 2017 ACM International Symposium on Symbolic and Algebraic Computation, 2017openaire +1 more source