# Brent, R. P. (Richard P.)

Overview
Works: 119 works in 170 publications in 2 languages and 1,035 library holdings Thesis advisor qa402.5, 515.62
Publication Timeline
1960 | |2020
Key
Publications by R. P Brent
Most widely held works by R. P Brent
by ( Book )
9 editions published between and 2002 in English and held by 513 libraries worldwide
by ( Book )
6 editions published between and 2011 in English and held by 121 libraries worldwide
by ( Book )
4 editions published in in English and held by 9 libraries worldwide
by ( Book )
2 editions published in in Undetermined and English and held by 9 libraries worldwide
by ( Book )
5 editions published in in English and held by 9 libraries worldwide
Abstract: "If N is an odd perfect number, and q[superscript k] [symbol] N, q prime, k even, then it is almost immediate that N > q[superscript 2k]. We prove here that, subject to certain conditions verifiable in polynomial time, in fact N > q[superscript 5k/2]. Using this and related results, we are able to extend the computations in an earlier paper to show that N > 10[superscript 300]."
by ( Book )
1 edition published in in English and held by 8 libraries worldwide
by ( Book )
5 editions published between and 1984 in English and held by 6 libraries worldwide
Abstract: "We show that the greatest common divisor of two n-bit integers (given in the usual binary representation) can be computed in time O(n) on a linear array of O(n) identical systolic cells, each of which is a finite-state machine with connections to its nearest neighbours."
by ( Book )
2 editions published in in English and held by 6 libraries worldwide
by ( Book )
2 editions published between and 1978 in English and held by 5 libraries worldwide
by ( Book )
2 editions published in in Undetermined and English and held by 5 libraries worldwide
by ( Book )
2 editions published in in English and held by 5 libraries worldwide
by ( Book )
1 edition published in in English and held by 5 libraries worldwide
by ( Book )
1 edition published in in English and held by 5 libraries worldwide
by ( Book )
1 edition published in in English and held by 5 libraries worldwide
by ( Book )
3 editions published in in English and held by 4 libraries worldwide
This paper concerns the systolic array computation of the generalized singular value decomposition. Numerical algorithms for both one and two-dimensional systolic architectures are discussed.
by ( Book )
2 editions published in in English and held by 4 libraries worldwide
Parallel Jacobi-like algorithms are presented for computing a singular-value decomposition of an $mxn$ matrix $(m \geq n)$ and an eigenvalue decomposition of an $n x n$ symmetric matrix. A linear array of $O(n)$ processors is proposed for the singular-value problem and the associated algorithm requires time $O(mnS)$, where $S$ is the number of sweeps (typically $S \leq 10)$. A square array of $O(n[superscript]{2})$ processors with nearest-neighbor communication is proposed for the eigenvalue problem; the associated algorithm requires time $O(nS)$.
by ( Book )
1 edition published in in English and held by 4 libraries worldwide
by ( Book )
1 edition published in in English and held by 4 libraries worldwide
by ( Book )
1 edition published in in English and held by 4 libraries worldwide

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Audience Level
 0 1 Kids General Special
Audience level: 0.77 (from 0.67 for The soluti ... to 1.00 for MP users g ...)
Related Identities
Alternative Names
Brent, R. P
Brent, Richard P.
Brent, Richard Peirce
Languages
English (162)
Undetermined (9)
Covers