Richard P. Brent

ORCID

Publication Activity (10 Years)

Years Active: 1971-2021
Publications (10 Years): 9

Top Venues

J. Integer Seq.

Math. Comput.

CoRR

J. Comb. Theory, Ser. A

Publications

Richard P. Brent
Some Instructive Mathematical Errors. Maple Trans. 1 (1) (2021)
Richard P. Brent, David J. Platt, Timothy S. Trudgian
Accurate estimation of sums over zeros of the Riemann zeta-function. Math. Comput. 90 (332) (2021)
Richard P. Brent, M. L. Glasser, Anthony J. Guttmann
A Conjectured Integer Sequence Arising From the Exponential Integral. J. Integer Seq. 22 (4) (2019)
Richard P. Brent, Adam B. Yedidia
Computation of Maximal Determinants of Binary Circulant Matrices. J. Integer Seq. 21 (5) (2018)
Richard P. Brent, Adam B. Yedidia
Computation of Maximal Determinants of Binary Circulant Matrices. CoRR (2018)
David H. Bailey, Jonathan M. Borwein, Richard P. Brent, Mohsen Reisi
Reproducibility in Computational Science: A Case Study: Randomness of the Digits of Pi. Exp. Math. 26 (3) (2017)
Richard P. Brent, Christian Krattenthaler, Ole Warnaar
Discrete analogues of Macdonald-Mehta integrals. J. Comb. Theory, Ser. A 144 (2016)
Richard P. Brent, Hideyuki Ohtsuka, Judy-anne H. Osborn, Helmut Prodinger
Some Binomial Sums Involving Absolute Values. J. Integer Seq. 19 (3) (2016)
Richard P. Brent, Judy-anne H. Osborn, Warren D. Smith
Probabilistic lower bounds on maximal determinants of binary matrices. Australas. J Comb. 66 (2016)
Richard P. Brent, Fredrik Johansson
A bound for the error term in the Brent-McMillan algorithm. Math. Comput. 84 (295) (2015)
Shi Bai, Richard P. Brent, Emmanuel Thomé
Root optimization of polynomials in the number field sieve. Math. Comput. 84 (295) (2015)
Richard P. Brent
Generalizing Tuenter's Binomial Sums. J. Integer Seq. 18 (3) (2015)
Richard P. Brent
Finding D-optimal designs by randomised decomposition and switching. Australas. J Comb. 55 (2013)
Richard P. Brent, Judy-anne H. Osborn
General Lower Bounds on Maximal Determinants of Binary Matrices. Electron. J. Comb. 20 (2) (2013)
Richard P. Brent
Further analysis of the binary Euclidean algorithm CoRR (2013)
Shi Bai, Richard P. Brent, Emmanuel Thomé
Root Optimization of Polynomials in the Number Field Sieve. IACR Cryptol. ePrint Arch. 2012 (2012)
Juan Arias de Reyna, Richard P. Brent, Jan van de Lune
On the sign of the real part of the Riemann zeta-function CoRR (2012)
Shi Bai, Richard P. Brent, Emmanuel Thomé
Root optimization of polynomials in the number field sieve CoRR (2012)
Richard P. Brent, David Harvey
Fast computation of Bernoulli, Tangent and Secant numbers CoRR (2011)
Nimalan Nandapalan, Richard P. Brent, Lawrence M. Murray, Alistair P. Rendell
High-Performance Pseudo-Random Number Generation on Graphics Processing Units. PPAM (1) (2011)
Richard P. Brent
Finding many D-optimal designs by randomised decomposition and switching CoRR (2011)
Nimalan Nandapalan, Richard P. Brent, Lawrence M. Murray, Alistair P. Rendell
High-Performance Pseudo-Random Number Generation on Graphics Processing Units CoRR (2011)
Richard P. Brent
On the periods of generalized Fibonacci recurrences. CoRR (2010)
Richard P. Brent
George Forsythe's last paper CoRR (2010)
Richard P. Brent
Some long-period random number generators using shifts and xors CoRR (2010)
Richard P. Brent
The myth of equidistribution for high-dimensional simulation CoRR (2010)
Richard P. Brent
Multiple-precision zero-finding methods and the complexity of elementary function evaluation CoRR (2010)
Richard P. Brent, Paul Zimmermann
Modern Computer Arithmetic (version 0.5.1) CoRR (2010)
Richard P. Brent, Paul Zimmermann
) Algorithm for the Jacobi Symbol. ANTS (2010)
Richard P. Brent
A Simple Approach to Error Reconciliation in Quantum Key Distribution CoRR (2010)
Richard P. Brent
Note on Computing Ratings from Eigenvectors CoRR (2010)
Richard P. Brent
On computing factors of cyclotomic polynomials. CoRR (2010)
Richard P. Brent
MP users guide CoRR (2010)
Richard P. Brent
Stability of fast algorithms for structured linear systems CoRR (2010)
Richard P. Brent
Uses of randomness in computation CoRR (2010)
Richard P. Brent
The complexity of multiple-precision arithmetic CoRR (2010)
Richard P. Brent
A fast vectorised implementation of Wallace's normal random number generator CoRR (2010)
Adam W. Bojanczyk, Richard P. Brent, Frank R. de Hoog, Douglas R. Sweet
On the stability of the Bareiss and related Toeplitz factorization algorithms. CoRR (2010)
Richard P. Brent
Some integer factorization algorithms using elliptic curves CoRR (2010)
Adam W. Bojanczyk, Richard P. Brent, Frank R. de Hoog
A weakly stable algorithm for general Toeplitz systems CoRR (2010)
Richard P. Brent, Paul Zimmermann
The great trinomial hunt CoRR (2010)
Richard P. Brent
Fast normal random number generators on vector processors CoRR (2010)
Richard P. Brent, Peter L. Montgomery, Herman J. J. te Riele
Factorizations of Cunningham numbers with bases 13 to 99 CoRR (2010)
Richard P. Brent
Unrestricted algorithms for elementary and special functions CoRR (2010)
Richard P. Brent
On the precision attainable with various floating-point number systems CoRR (2010)
Richard P. Brent, Franklin T. Luk, H. T. Kung
Some linear-time algorithms for systolic arrays CoRR (2010)
Douglas R. Sweet, Richard P. Brent
Error analysis of a partial pivoting method for structured matrices CoRR (2010)
Richard P. Brent
Parallel algorithms in linear algebra. CoRR (2010)
Richard P. Brent, Paul Zimmermann
An O(M(n) log n) algorithm for the Jacobi symbol CoRR (2010)
Richard P. Brent
Some comments on C. S. Wallace's random number generators CoRR (2010)
Richard P. Brent, Paul Zimmermann
Ten new primitive binary trinomials. Math. Comput. 78 (266) (2009)
Weifa Liang, Richard P. Brent, Yinlong Xu, Qingshan Wang
Minimum-energy all-to-all multicasting in wireless ad hoc networks. IEEE Trans. Wirel. Commun. 8 (11) (2009)
Richard P. Brent, Pierrick Gaudry, Emmanuel Thomé, Paul Zimmermann
Faster Multiplication in GF(2)[x]. ANTS (2008)
Shi Bai, Richard P. Brent
On the Efficiency of Pollard's Rho Method for Discrete Logarithms. CATS (2008)
Richard P. Brent
Some Comments on C. S. Wallace's Random Number Generators. Comput. J. 51 (5) (2008)
Yuan Jenq Lui, Richard P. Brent, Ani Calinescu
Extracting Significant Phrases from Text. AINA Workshops (1) (2007)
Richard P. Brent, Paul Zimmermann
A Multi-level Blocking Distinct Degree Factorization Algorithm CoRR (2007)
Richard P. Brent, Colin Percival, Paul Zimmermann
Error bounds on complex floating-point multiplication. Math. Comput. 76 (259) (2007)
Pinghao Wang, Bing Bing Zhou, Monther Tarawneh, Daniel Chu, Chen Wang, Albert Y. Zomaya, Richard P. Brent
A Global Maximum Likelihood Super-Quartet Phylogeny Method. APBC (2007)
Bing Bing Zhou, Monther Tarawneh, Daniel Chu, Francis Wang, Chen Wang, Albert Y. Zomaya, Richard P. Brent
On a New Quartet-Based Phylogeny Reconstruction Algorithm. BIOCOMP (2006)
Bing Bing Zhou, Monther Tarawneh, Pinghao Wang, Daniel Chu, Chen Wang, Albert Y. Zomaya, Richard P. Brent
Evidence of Multiple Maximum Likelihood Points for a Phylogenetic Tree. BIBE (2006)
Bing Bing Zhou, Daniel Chu, Monther Tarawneh, Pinghao Wang, Chen Wang, Albert Y. Zomaya, Richard P. Brent
Parallel implementation of a quartet-based algorithm for phylogenetic analysis. IPDPS (2006)
Bing Bing Zhou, Monther Tarawneh, Chen Wang, Albert Y. Zomaya, Richard P. Brent
A Novel Quartet-Based Method for Phylogenetic Inference. BIBE (2005)
Richard P. Brent, Samuli Larvala, Paul Zimmermann
A primitive trinomial of degree 6972593. Math. Comput. 74 (250) (2005)
Laurence Tianruo Yang, Richard P. Brent
Parallel MCGLS and ICGLS Methods for Least Squares Problems on Distributed Memory Architectures. J. Supercomput. 29 (2) (2004)
Richard P. Brent
Fast and Reliable Random Number Generators for Scientific Computing. PARA (2004)
Laurence Tianruo Yang, Richard P. Brent
The Improved Krylov Subspace Methods for Large and Sparse Linear Systems on Bulk Synchronous Parallel Architecture. IPDPS (2003)
Richard P. Brent, Samuli Larvala, Paul Zimmermann
A fast algorithm for testing reducibility of trinomials mod~2 and some new primitive trinomials of degree 3021377. Math. Comput. 72 (243) (2003)
Bing Bing Zhou, Richard P. Brent
An efficient method for computing eigenvalues of a real normal matrix. J. Parallel Distributed Comput. 63 (6) (2003)
Laurence Tianruo Yang, Richard P. Brent
Parallel MCGLS and ICGLS Methods for Least Squares Problems on Distributed Memory Architectures. ISPA (2003)
Richard P. Brent, Paul Zimmermann
Random Number Generators with Period Divisible by a Mersenne Prime. ICCSA (1) (2003)
Richard P. Brent, Shuhong Gao, Alan G. B. Lauder
Random Krylov Spaces over Finite Fields. SIAM J. Discret. Math. 16 (2) (2003)
Laurence Tianruo Yang, Richard P. Brent
The Improved BiCG Method for Large and Sparse Linear Systems on Parallel Distributed Memory Architectures. IPDPS (2002)
Bing Bing Zhou, Richard P. Brent
Gang Scheduling with a Queue for Large Jobs. IPDPS (2001)
Bing Bing Zhou, Richard P. Brent
On the Development of an Efficient Coscheduling System. JSSPP (2001)
Weifa Liang, Richard P. Brent, Hong Shen
Fully Dynamic Maintenance of k-Connectivity in Parallel. IEEE Trans. Parallel Distributed Syst. 12 (8) (2001)
Laurence Tianruo Yang, Richard P. Brent
The Improved Conjugate Gradient Squared (ICGS) Method on Parallel Distributed Memory Architectures. ICPP Workshops (2001)
Laurence Tianruo Yang, Richard P. Brent
The Parallel Improved Lanczos Method for Integer Factorization over Finite Fields for Public Key Cryptosystems. ICPP Workshops (2001)
M. Manzur Murshed, Richard P. Brent
How promising is the k-constrained reconfigurable mesh? CATA (2000)
Bing Bing Zhou, David Walsh, Richard P. Brent
Resource Allocation Schemes for Gang Scheduling. JSSPP (2000)
M. Manzur Murshed, Richard P. Brent
Adaptive AT2 optimal algorithms on reconfigurable meshes. Parallel Comput. 26 (11) (2000)
Richard P. Brent, Richard E. Crandall, Karl Dilcher, C. Van Halewyn
Three new factors of Fermat numbers. Math. Comput. 69 (231) (2000)
Richard P. Brent
Recent Progress and Prospects for Integer Factorisation Algorithms. COCOON (2000)
Richard P. Brent
Some Parallel Algorithms for Integer Factorisation. Euro-Par (1999)
Richard P. Brent
Computer Arithmetic - A Programmer's Perspective. IEEE Symposium on Computer Arithmetic (1999)
M. Manzur Murshed, Richard P. Brent
Maximal Contour Algorithms on Constrained Reconfigurable Meshes. PDPTA (1999)
Bing Bing Zhou, Paul Mackerras, Chris W. Johnson, David Walsh, Richard P. Brent
An Efficient Resource Allocation Scheme for Gang Scheduling. IWCC (1999)
Richard P. Brent
Factorization of the tenth Fermat number. Math. Comput. 68 (225) (1999)
Bing Bing Zhou, Richard P. Brent, Chris W. Johnson, David Walsh
Job Re-pacing for Enhancing the Performance of Gang Scheduling. JSSPP (1999)
Richard P. Brent
Random Number Generation and Simulation on Vector and Parallel Computers. Euro-Par (1998)
Bing Bing Zhou, X. Qu, Richard P. Brent
Effective scheduling in a mixed parallel and sequential computing environment. PDP (1998)
Bing Bing Zhou, Richard P. Brent, David Walsh, Kuniyasu Suzaki
Job Scheduling Strategies for Networks of Workstations. JSSPP (1998)
M. Manzur Murshed, Richard P. Brent
Constant Time Algorithms for Computing the Contour of Maximal Elements on a Reconfigurable Mesh. Parallel Process. Lett. 8 (3) (1998)
Richard P. Brent, L. Grosz, David L. Harrar II, Markus Hegland, Margaret Kahn, G. Keating, G. Mercer, Ole Møller Nielsen, Michael R. Osborne, Bing Bing Zhou, M. Nakanishi
Development of a Mathematical Subroutine Library for Fujitsu Vector Parallel Processors. International Conference on Supercomputing (1998)
Brian Murphy, Richard P. Brent
On Quadratic Polynomials for the Number Field Sieve. CATS (1998)
Bing Bing Zhou, Richard P. Brent
A Parallel Ring Ordering Algorithm for Efficient One-Sided Jacobi SVD Computations. J. Parallel Distributed Comput. 42 (1) (1997)
M. Manzur Murshed, Richard P. Brent
Constant Time Algorithms for Computing the Contour of Maximal Elements on the Reconfigurable Mesh. ICPADS (1997)
Richard P. Brent, Alfred J. van der Poorten, Herman J. J. te Riele
A Comparative Study of Algorithms for Computing Continued Fractions of Algebraic Numbers. ANTS (1996)
Weifa Liang, Richard P. Brent
Constructing the Spanners of Graphs in Parallel. IPPS (1996)
Wanli Ma, C. W. Johnson, Richard P. Brent
Programming with transactions and chemical abstract machine. ISPAN (1996)

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Publication Activity (10 Years)

Top Topics

Top Venues

Richard P. Brent