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J. Demmel and H. Ren. The instability and nonmonotonicity of the parallel prefix algorithm. in preparation, 1994.

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On the Correctness of Parallel Bisection in Floating Point - James Demmel Computer (1994)   (5 citations)  Self-citation (Demmel Ren)   (Correct)

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J. Demmel and H. Ren. The instability and nonmonotonicity of the parallel prefix algorithm. in preparation, 1994.


On The Correctness Of Some Bisection-Like Parallel Eigenvalue.. - Demmel, al. (1995)   (4 citations)  Self-citation (Demmel Ren)   (Correct)

....parallel algorithm called parallel prefix [11] Figure 4. 1 shows the FloatingCount(x) for a 6464 matrix of norm near 1 with 32 eigenvalues very close to 5 10 8 computed both by conventional bisection (FlCnt IEEE) and the parallel prefix algorithm in the neighborhood of the eigenvalues; see [21, 14] for details. 4.3. A Correct Serial Implementation of the Bracketing Algorithm. As we saw in section 4.1, the Eispack implementation of the bisection algorithm fails in the face of a nonmonotonic FloatingCount. We now present an implementation which works correctly even if FloatingCount is ....

J. Demmel and H. Ren, The instability and nonmonotonicity of the parallel prefix algorithm, in preparation, 1994.


On The Correctness Of Some Bisection-Like Parallel.. - Demmel, Dhillon, al. (1995)   (4 citations)  Self-citation (Demmel)   (Correct)

....called parallel prefix [11] Figure 4. 1 shows the FloatingCount(x) for a 64 Theta 64 matrix of norm near 1 with 32 eigenvalues very close to 5 Delta 10 Gamma8 computed both by conventional bisection (FlCnt IEEE) and the parallel prefix algorithm in the neighborhood of the eigenvalues; see [21, 14] for details. 4.3. A Correct Serial Implementation of the Bracketing Algorithm. As we saw in section 4.1, the Eispack implementation of the bisection algorithm fails in the face of a nonmonotonic FloatingCount. We now present an implementation which works correctly even if FloatingCount is ....

J. Demmel and H. Ren, The instability and nonmonotonicity of the parallel prefix algorithm, in preparation, 1994.


On the Correctness of Parallel Bisection in Floating Point - Demmel, Dhillon, Ren (1994)   (5 citations)  Self-citation (Demmel Ren)   (Correct)

.... called parallel prefix [9] Figure 1 shows the FloatingCount(x) of a 64 Theta 64 matrix of norm near 1 with 32 eigenvalues very close to 5 Delta 10 Gamma8 computed both by the conventional bisection algorithm and the parallel prefix algorithm in the neighborhood of the eigenvalues; see [19, 12] for details. 4.3 A Correct Serial Implementation of the Bisection Algorithm As we saw in Section 4.1, the Eispack implementation of the bisection algorithm fails in the face of nonmonotonicity of the function FloatingCount(x) We now present an imple9 3 2 1 0 1 2 3 4 5 x 10 7 0 5 10 15 20 ....

J. Demmel and H. Ren. The instability and nonmonotonicity of the parallel prefix algorithm. in preparation, 1994.

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