The approximate evaluation with a given precision of matrix and polynomial products is performed using modular arithmetic. The resulting algorithms are numerically stable. At the same time they are as fast as or faster than the algorithms with arithmetic operations over real or complex numbers.
The bit-complexity of arithmetic algorithms
β Scribed by V Pan
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 953 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0196-6774
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π SIMILAR VOLUMES
A tight bound of 2n -1 bits on the communication complexity of the "predecessor" problem in a synchronous ring (previously known as the "last in a synchronous ring" problem) is presented. @ 1997 Elsevier Science B.V.
The numbers of bit operations (br) required for matrix multiplication (MM), matrix inversion (MI). the evaluation of the determinant of a matrix (Det). and the solution of a system of linear equations (SLE) are estimated from above and below. (For SLE the estimates are nearly sharp.) The bit-complex
## Abstract A bit allocation algorithm is presented for orthogonal frequency division multiplexing (OFDM) systems. The proposed algorithm is derived from the geometric progression of the additional transmission power required by the subcarriers and the arithmeticβgeometric means inequality. Consequ