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81.
K''Andrea C. Bickerstaff Michael J. Schulte Earl E. Swartzlander 《The Journal of VLSI Signal Processing》1995,9(3):181-191
As developed by Wallace and Dadda, a method for high-speed, parallel multiplication is to generate a matrix of partial products
and then reduce the partial products to two numbers whose sum is equal to the final product. The resulting two numbers are
then summed using a fast carry-propagate adder. This paper presents Reduced Area multipliers, which employ a modified reduction
scheme that results in fewer components and less interconnect overhead than either Wallace or Dadda multipliers. This reduction
scheme is especially useful for pipelined multipliers, because it minimizes the number of latches required in the reduction
of the partial products. The reduction scheme can be applied to either unsigned (sign-magnitude) or two's complement numbers.
Equations are given for determining the number of components and a method is presented for estimating the interconnect overhead
for Wallace, Dadda, and Reduced Area multipliers. Area estimates indicate that for non-pipelined multipliers, the reduction
in area achieved with Reduced Area multipliers ranges from 3.7 to 6.6 percent relative to Dadda multipliers, and from 3.8
to 8.4 percent relative to Wallace multipliers. For fully pipelined multipliers, the reduction in area ranges from 15.1 to
33.6 percent relative to Dadda multipliers, and from 2.9 to 9.0 percent relative to Wallace multipliers. 相似文献
82.
The many facets of linear programming 总被引:1,自引:0,他引:1
Michael J. Todd 《Mathematical Programming》2002,91(3):417-436
We examine the history of linear programming from computational, geometric, and complexity points of view, looking at simplex,
ellipsoid, interior-point, and other methods.
Received: June 22, 2000 / Accepted: April 4, 2001?Published online October 2, 2001 相似文献
83.
84.
85.
Michael S. Roddy 《Order》1994,11(1):1-9
Theretracts (idempotent, isotone self-maps) of an ordered set are naturally ordered as functions. In this note we characterize the possible ways that one retract can cover another one. This gives some insight into the structure of the ordered set of retracts and leads to a natural generalization of the core of an ordered set.Supported by NSERC Operating Grant 41702. 相似文献
86.
LetK be a compact Hausdorff space, and letT be an irreducible Markov operator onC(K). We show that ifgεC(K) satisfies sup
N
‖Σ
j
=0N
T
j
g‖<∞, then (and only then) there existsfεC(K) with (I − T)f=g. Generalizing the result to irreducible Markov operator representations of certain semi-groups, we obtain that bounded cocycles
are (continuous) coboundaries. For minimal semi-group actions inC(K), no restriction on the semi-group is needed. 相似文献
87.
88.
89.
In previous work the authors consider the dynamic assignment problem, which involves solving sequences of assignment problems over time in the presence of uncertain information about the future. The algorithm proposed by the authors provides generally high-quality but non-optimal solutions. In this work, though, the authors prove that if the optimal solution to a dynamic assignment problem in one of two problem classes is unique, then the optimal solution is a fixed point under the algorithm. 相似文献
90.
Michael Demuth Peter Stollmann Günter Stolz Jan van Casteren 《Integral Equations and Operator Theory》1995,23(2):145-153
We give trace norm estimates for products of integral operators and for diffusion semigroups. These are applied to differences of heat semigroups. A natural example of an integral operator with finite trace which is not trace class is given. 相似文献