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With advances in semiconductor process technology, chip power density has dramatically increased, making power grid integrity a critical concern at all stages of the design process. Given the inherent difficulty of capturing worst-case IR drops for all logic gates with dynamic vectors, a static flow is essential for verifying grid integrity on complex chip designs, especially microprocessors. A novel...
In this paper, we present a new approach to optimizing the blocking strategy for the householder QR decomposition. In high performance implementations of the householder QR algorithm, it is common to use a blocking technique for the efficient use of the cache memory. There are several well known blocking strategies like the fixed-size blocking and recursive blocking, and usually their parameters such...
Graph Bisection is the problem of partitioning the vertices of a graph into two equal-size pieces so as to minimize the number of edges between the two pieces. This paper presents an algorithm that will, for almost all graphs in a certain class, output the minimum-size bisection. Furthermore the algorithm will yield, for almost all such graphs, a proof that the bisection is optimal. The algorithm...
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