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Brent, Richard Peirce

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Author ID: brent.richard-peirce Recent zbMATH articles by "Brent, Richard Peirce"
Published as: Brent, Richard P.; Brent, R. P.; Brent, Richard; Brent, Richard Peirce
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all top 5

Co-Authors

51 single-authored
10 Kung, H. T.
10 Zimmermann, Paul
7 Bojanczyk, Adam W.
7 Osborn, Judy-Anne H.
5 Luk, Franklin T.
4 de Hoog, Frank Robert
4 te Riele, Herman
4 Yang, Laurence Tianruo
4 Zhou, Bing Bing
3 Abbott, James P.
3 van de Lune, Jan
2 Bailey, David Harold
2 Cohen, Graeme L.
2 Larvala, Samuli
2 McKay, Brendan D.
2 Platt, David John
2 Smith, Warren D.
2 Thomé, Emmanuel
2 Trudgian, Timothy S.
2 Winter, Dik T.
1 Anderssen, Robert Scott
1 Angluin, Dana
1 Arias-de-Reyna, Juan
1 Bai, Shi
1 Baudet, Gerard M.
1 Bloniarz, Peter A.
1 Boley, Daniel L.
1 Borodin, Allan B.
1 Borwein, Jonathan Michael
1 Borwein, Naomi Simone
1 Brown, Donna J.
1 Burachik, Regina Sandra
1 Carlson, David A.
1 Chazelle, Bernard
1 Cook, Stephen Arthur
1 Coons, Michael
1 Crandall, Richard E.
1 Cypher, A.
1 Daley, Daryl John
1 DeMillo, Richard A.
1 Dilcher, Karl
1 Dobkin, David P.
1 Ehrig, Hartmut
1 Fagin, Ronald
1 Filotti, I. S.
1 Fischer, Michael J.
1 Frederickson, Greg N.
1 Gao, Shuhong
1 Gaudry, Pierrick
1 Goldschlager, Leslie M.
1 Golub, Gene Howard
1 Guibas, Leonidas John
1 Gustavson, Fred G.
1 Guttmann, Anthony John
1 Harvey, David I.
1 Heintz, Joos
1 Hoffmann, Christoph M.
1 Hong, Jiawei
1 Hooper, Judith A.
1 Ibarra, Oscar H.
1 Ja’Ja’, Joseph F.
1 Johansson, Fredrik
1 Johnson, Donald B.
1 Joseph, Deborah
1 Kannan, Ravindran
1 Karp, Richard Manning
1 Krattenthaler, Christian Friedrich
1 Kuck, David J.
1 Lauder, Alan G. B.
1 Leininger, Brian S.
1 Lichtenstein, David
1 Lipton, Richard J.
1 Lloyd, Errol L.
1 Lynch, Nancy Ann
1 Mahr, Bernd
1 Maruyama, Kiyoshi
1 Mayer, Jack N.
1 McMillan, Edwin M.
1 Meyer, Albert Ronald
1 Miller, Gary Lee
1 Miller, Raymond E.
1 Mirkowska, Grazyna
1 Moran, Patrick Alfred Pierce
1 Murshed, M. Manzur
1 Ohtsuka, Hideyuki
1 Overmars, Mark H.
1 Parikh, Rohit
1 Paterson, Michael S.
1 Paul, Wolfgang Jakob
1 Percival, Colin
1 Pippenger, Nicholas J.
1 Plaisted, David Alan
1 Pollard, John M.
1 Pomerance, Carl Bernard
1 Pratt, Vaughan R.
1 Prodinger, Helmut
1 Purdum, David
1 Reif, John H.
1 Reingold, Edward Martin
1 Reisi, Mohsen
...and 34 more Co-Authors
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Serials

23 Mathematics of Computation
6 IEEE Transactions on Computers
5 Journal of the Association for Computing Machinery
5 Journal of Integer Sequences
4 Journal of the Australian Mathematical Society, Series B
3 Numerische Mathematik
3 SIAM Journal on Scientific and Statistical Computing
2 Australian Computer Journal
2 Bulletin of the Australian Mathematical Society
2 SIAM Journal on Computing
2 SIAM Journal on Numerical Analysis
2 Journal of VLSI and Computer Systems
2 SIAM Journal on Matrix Analysis and Applications
2 Journal of Parallel and Distributed Computing
2 Communications of the ACM
2 Linear Algebra and its Applications
2 The Australasian Journal of Combinatorics
1 Computers & Mathematics with Applications
1 Discrete Mathematics
1 ACM Transactions on Mathematical Software
1 Ars Combinatoria
1 The Australian Mathematical Society Gazette
1 The Computer Journal. Section A / Section B
1 Journal of Combinatorial Theory. Series A
1 Journal of Algorithms
1 Parallel Computing
1 SIAM Journal on Discrete Mathematics
1 IMRN. International Mathematics Research Notices
1 The Journal of Supercomputing
1 Numerical Algorithms
1 IBM Journal of Research and Development
1 SIAM Journal on Applied Mathematics
1 Notices of the American Mathematical Society
1 Advances in Engineering Software
1 Experimental Mathematics
1 The Electronic Journal of Combinatorics
1 Integers
1 The ANZIAM Journal
1 Journal of the Australian Mathematical Society
1 Information
1 BIT. Nordisk Tidskrift for Informationsbehandling
1 Cambridge Monographs on Applied and Computational Mathematics
1 Springer Proceedings in Mathematics & Statistics

Publications by Year

Citations contained in zbMATH Open

102 Publications have been cited 1,513 times in 1,369 Documents Cited by Year
Algorithms for minimization without derivatives. Zbl 0245.65032
Brent, Richard P.
325
1973
The parallel evaluation of general arithmetic expressions. Zbl 0276.68010
Brent, Richard P.
121
1974
Fast solution of Toeplitz systems of equations and computation of Padé approximants. Zbl 0475.65018
Brent, Richard P.; Gustavson, Fred G.; Yun, David Y. Y.
108
1980
Fast multiple-precision evaluation of elementary functions. Zbl 0324.65018
Brent, Richard P.
78
1976
Fast algorithms for manipulating formal power series. Zbl 0388.68052
Brent, R. P.; Kung, H. T.
75
1978
Some efficient algorithms for solving systems of nonlinear equations. Zbl 0258.65051
Brent, Richard P.
54
1973
An algorithm with guaranteed convergence for finding a zero of a function. Zbl 0231.65046
Brent, R. P.
51
1971
Modern computer arithmetic. Zbl 1230.68014
Brent, Richard; Zimmermann, Paul
33
2011
The solution of singular-value and symmetric eigenvalue problems on multiprocessor arrays. Zbl 0575.65027
Brent, Richard P.; Luk, Franklin T.
31
1985
An improved Monte Carlo factorization algorithm. Zbl 0439.65001
Brent, Richard P.
31
1980
Algorithms for minimization without derivatives. Repr. of the 1973 original. Zbl 1009.90133
Brent, Richard P.
30
2002
The area-time complexity of binary multiplication. Zbl 0462.68014
Brent, R. P.; Kung, H. T.
28
1981
A note on downdating the Cholesky factorization. Zbl 0617.65013
Bojanczyk, A. W.; Brent, R. P.; van Dooren, P.; de Hoog, F. R.
21
1987
Computation of the singular value decomposition using mesh-connected processors. Zbl 0597.65029
Brent, Richard P.; Luk, Franklin T.; Van Loan, Charles F.
21
1985
A regular layout for parallel adders. Zbl 0477.94037
Brent, Richard P.; Kung, H. T.
20
1982
Solving triangular systems on a parallel computer. Zbl 0375.65016
Sameh, Ahmed H.; Brent, Richard P.
20
1977
Improved techniques for lower bounds for odd perfect numbers. Zbl 0736.11004
Brent, R. P.; Cohen, G. L.; te Riele, Herman J. J.
19
1991
Error analysis of algorithms for matrix multiplication and triangular decomposition using Winograd’s identity. Zbl 0193.11902
Brent, R. P.
19
1970
On the zeros of the Riemann zeta function in the critical strip. Zbl 0422.10031
Brent, Richard P.
18
1979
On the stability of the Bareiss and related Toeplitz factorization algorithms. Zbl 0819.65016
Bojanczyk, A. W.; Brent, R. P.; De Hoog, F. R.; Sweet, D. R.
16
1995
QR factorization of Toeplitz matrices. Zbl 0574.65019
Bojanczyk, A. W.; Brent, R. P.; de Hoog, F. R.
16
1986
Factorization of the eighth Fermat number. Zbl 0476.10007
Brent, Richard P.; Pollard, John M.
15
1981
The first occurrence of large gaps between successive primes. Zbl 0269.10002
Brent, Richard P.
15
1973
On the zeros of the Riemann zeta function in the critical strip. II. Zbl 0486.10028
Brent, R. P.; van de Lune, J.; te Riele, Herman J. J.; Winter, D. T.
13
1982
Reducing the retrieval time of scatter storage techniques. Zbl 0251.68019
Brent, Richard P.
12
1973
Some new algorithms for high-precision computation of Euler’s constant. Zbl 0442.10002
Brent, Richard P.; McMillan, Edwin M.
11
1980
Optimal iterative processes for root-finding. Zbl 0252.65041
Brent, Richard; Winograd, Shmuel; Wolfe, Philip
11
1973
The parallel evaluation of arithmetic expression without division. Zbl 0252.68028
Brent, Richard; Kuck, David; Maruyama, Kiyoshi
11
1973
Error bounds on complex floating-point multiplication. Zbl 1118.65031
Brent, Richard; Percival, Colin; Zimmermann, Paul
10
2007
A new algorithm for minimizing a function of several variables without calculating derivatives. Zbl 0311.90065
Brent, R. P.
10
1972
Recent progress and prospects for integer factorisation algorithms. Zbl 0988.11056
Brent, Richard P.
9
2000
Irregularities in the distribution of primes and twin primes. Zbl 0295.10002
Brent, Richard P.
9
1975
A Gaussian pseudo-random number generator \([G5]\). Zbl 0292.65003
Brent, Richard P.
9
1974
Numerically stable solution of dense systems of linear equations using mesh-connected processors. Zbl 0574.65020
Bojanczyk, A.; Brent, R. P.; Kung, H. T.
8
1984
On the periods of generalized Fibonacci recurrences. Zbl 0809.11083
Brent, Richard P.
8
1994
On the Davidenko-Branin method for solving simultaneous nonlinear equations. Zbl 0276.65023
Brent, R. P.
8
1972
Determinants and ranks of random matrices over \({\mathbb{Z}}_ m\). Zbl 0628.15010
Brent, Richard P.; McKay, Brendan D.
7
1987
On computing factors of cyclotomic polynomials. Zbl 0785.11011
Brent, Richard P.
7
1993
Fast computation of Bernoulli, tangent and secant numbers. Zbl 1310.11120
Brent, Richard P.; Harvey, David
7
2013
The improved parallel BiCG method for large and sparse unsymmetric linear systems on distributed memory architectures. Zbl 1103.65342
Yang, Laurence Tianruo; Brent, Richard P.
7
2003
Faster multiplication in \(\text{GF}(2)[x]\). Zbl 1230.11152
Brent, Richard P.; Gaudry, Pierrick; Thomé, Emmanuel; Zimmermann, Paul
7
2008
On the addition of binary numbers. Zbl 0199.51702
Brent, R.
7
1970
Fast local convergence with single and multistep methods for nonlinear equations. Zbl 0359.65044
Abbott, James P.; Brent, Richard P.
7
1975
Algebraic independence of Mahler functions via radial asymptotics. Zbl 1415.11104
Brent, Richard P.; Coons, Michael; Zudilin, Wadim
7
2016
A systolic array for the linear-time solution of Toeplitz systems of equations. Zbl 0532.68049
Brent, Richard P.; Luk, Franklin T.
6
1983
Note on best possible bounds for determinants of matrices close to the identity matrix. Zbl 1303.15007
Brent, Richard P.; Osborn, Judy-anne H.; Smith, Warren D.
6
2015
Concerning \(\int^1_0\dots\int^1_0(\chi^2_1+\dots+\chi^2_k)^{1/2}d\chi_1\dots d\chi_k\) and a Taylor series method. Zbl 0337.65022
Anderssen, R. S.; Brent, R. P.; Daley, D. J.; Moran, P. A. P.
6
1976
Factorization of the tenth Fermat number. Zbl 0977.11053
Brent, Richard P.
5
1999
A linear algorithm for data compression. Zbl 0641.68029
Brent, R. P.
5
1987
Root optimization of polynomials in the number field sieve. Zbl 1378.11104
Bai, Shi; Brent, Richard P.; Thomé, Emmanuel
5
2015
Discrete analogues of Macdonald-Mehta integrals. Zbl 1343.05160
Brent, Richard P.; Krattenthaler, Christian; Warnaar, Ole
5
2016
A fast algorithm for testing reducibility of trinomials mod 2 and some new primitive trinomials of degree 3021377. Zbl 1119.11320
Brent, Richard P.; Larvala, Samuli; Zimmermann, Paul
5
2003
The great trinomial hunt. Zbl 1277.11110
Brent, Richard P.; Zimmermann, Paul
5
2011
The first occurrence of certain large prime gaps. Zbl 0443.10003
Brent, Richard P.
5
1980
Some binomial sums involving absolute values. Zbl 1336.05006
Brent, Richard P.; Ohtsuka, Hideyuki; Osborn, Judy-Anne H.; Prodinger, Helmut
5
2016
On determinants of random symmetric matrices over \(Z_ m\). Zbl 0691.15010
Brent, Richard P.; McKay, Brendan D.
4
1988
A comparative study of algorithms for computing continued fractions of algebraic numbers. Zbl 0899.11065
Brent, Richard P.; te Riele, Herman J. J.; van der Poorten, Alfred J.
4
1996
Systolic VLSI arrays for polynomial GCD computation. Zbl 0542.94043
Brent, Richard P.; Kung, H. T.
4
1984
Algorithmic fault tolerance using the Lanczos method. Zbl 0760.65048
Boley, Daniel L.; Brent, Richard P.; Golub, Gene H.; Luk, Franklin T.
4
1992
A parallel ring ordering algorithm for efficient one-sided Jacobi SVD computations. Zbl 0880.68055
Zhou, B. B.; Brent, R. P.
4
1997
On the complexity of composition and generalized composition of power series. Zbl 0447.68033
Brent, R. P.; Traub, J. F.
4
1980
Multiple-precision zero-finding methods and the complexity of elementary function evaluation. Zbl 0342.65031
Brent, Richard P.
4
1976
Random Krylov spaces over finite fields. Zbl 1044.11104
Brent, Richard P.; Gao, Shuhong; Lauder, Alan G. B.
4
2003
The distribution of small gaps between successive primes. Zbl 0274.10001
Brent, Richard P.
4
1974
Some long-period random number generators using shifts and xors. Zbl 1334.65012
Brent, Richard Peirce
4
2007
Ten new primitive binary trinomials. Zbl 1206.11010
Brent, Richard P.; Zimmermann, Paul
4
2009
A new lower bound for odd perfect numbers. Zbl 0672.10006
Brent, Richard P.; Cohen, Graeme L.
3
1989
General lower bounds on maximal determinants of binary matrices. Zbl 1267.05052
Brent, Richard P.; Osborn, Judy-Anne H.
3
2013
Fast algorithms for composition and reversion of multivariate power series (preliminary version). Zbl 0411.68043
Brent, R. P.; Kung, H. T.
3
1977
Unrestricted algorithms for elementary and special functions. Zbl 0442.65013
Brent, Richard P.
3
1980
Reproducibility in computational science: A case study: randomness of the digits of pi. Zbl 1426.11133
Bailey, David H.; Borwein, Jonathan M.; Brent, Richard P.; Reisi, Mohsen
3
2017
Parallel algorithms for integer factorisation. Zbl 0709.11074
Brent, Richard P.
2
1990
Stability analysis of a general Toeplitz system solver. Zbl 0837.65017
Bojanczyk, Adam W.; Brent, Richard P.; de Hoog, Frank R.
2
1995
On quadratic polynomials for the number field sieve. Repr. from Australian Computer Science Communications 20, No. 3 (1998). Zbl 0990.11080
Murphy, Brian; Brent, Richard P.
2
1998
Algorithms for finding almost irreducible and almost primitive trinomials. Zbl 1087.11075
Brent, Richard P.; Zimmermann, Paul
2
2004
A multi-level blocking distinct-degree factorization algorithm. Zbl 1213.11199
Brent, Richard P.; Zimmermann, Paul
2
2008
A bound for the error term in the Brent-McMillan algorithm. Zbl 1320.33007
Brent, Richard P.; Johansson, Fredrik
2
2015
Finding D-optimal designs by randomised decomposition and switching. Zbl 1278.05059
Brent, Richard P.
2
2013
Succinct proofs of primality for the factors of some Fermat numbers. Zbl 0478.10005
Brent, Richard P.
2
1982
An efficient method for computing eigenvalues of a real normal matrix. Zbl 1056.65032
Zhou, B. B.; Brent, R. P.
2
2003
Parallel algorithms for Toeplitz systems. Zbl 0735.65009
Brent, Richard P.
2
1991
On the precision attainable with various floating-point number systems. Zbl 0261.65036
Brent, Richard P.
2
1973
Computation of the regular continued fraction for Euler’s constant. Zbl 0369.10002
Brent, Richard P.
2
1977
Analysis of the binary Euclidean algorithm. Zbl 0373.68040
Brent, Richard P.
2
1976
On the accuracy of asymptotic approximations to the log-gamma and Riemann-Siegel theta functions. Zbl 1436.11106
Brent, Richard P.
2
2019
Probabilistic lower bounds on maximal determinants of binary matrices. Zbl 1375.05042
Brent, Richard P.; Osborn, Judy-Anne H.; Smith, Warren D.
2
2016
Random number generation and simulation on vector and parallel computers. Zbl 0928.65010
Brent, Richard P.
1
1998
A systolic algorithm for extended GCD computation. Zbl 0657.10002
Bojanczyk, A. W.; Brent, R. P.
1
1987
On minors of maximal determinant matrices. Zbl 1310.15055
Brent, Richard P.; Osborn, Judy-Anne H.
1
2013
Some area-time tradeoffs for VLSI. Zbl 0492.68041
Brent, Richard P.; Goldschlager, Leslie M.
1
1982
Computing Aurifeuillian factors. Zbl 0840.12003
Brent, Richard P.
1
1995
Three new factors of Fermat numbers. Zbl 1042.11082
Brent, R. P.; Crandall, R. E.; Dilcher, K.; Van Halewyn, C.
1
2000
A primitive trinomial of degree 6972593. Zbl 1077.11002
Brent, Richard P.; Larvala, Samuli; Zimmermann, Paul
1
2005
An \(O(M(n) \log n)\) algorithm for the Jacobi symbol. Zbl 1260.11081
Brent, Richard P.; Zimmermann, Paul
1
2010
Generalizing Tuenter’s binomial sums. Zbl 1309.05013
Brent, Richard P.
1
2015
Parallel solution of certain Toeplitz least-squares problems. Zbl 0587.65031
Bojańczyk, A.; Brent, R. P.
1
1986
An AUGMENT interface for Brent’s multiple precision arithmetic package. Zbl 0433.68028
Brent, Richard P.; Hooper, Judith A.; Yohe, J. Michael
1
1980
Some high-order zero-finding methods using almost orthogonal polynomials. Zbl 0333.65022
Brent, Richard P.
1
1975
A class of optimal-order zero-finding methods using derivative evaluations. Zbl 0342.65030
Brent, Richard P.
1
1976
Parallel algorithms for digital signal processing. Zbl 0736.65012
Brent, Richard P.
1
1991
Accurate estimation of sums over zeros of the Riemann zeta-function. Zbl 1480.11103
Brent, Richard P.; Platt, David J.; Trudgian, Timothy S.
1
2021
On the accuracy of asymptotic approximations to the log-gamma and Riemann-Siegel theta functions. Zbl 1436.11106
Brent, Richard P.
2
2019
Computation of maximal determinants of binary circulant matrices. Zbl 1388.05028
Brent, Richard P.; Yedidia, Adam B.
1
2018
Reproducibility in computational science: A case study: randomness of the digits of pi. Zbl 1426.11133
Bailey, David H.; Borwein, Jonathan M.; Brent, Richard P.; Reisi, Mohsen
3
2017
Algebraic independence of Mahler functions via radial asymptotics. Zbl 1415.11104
Brent, Richard P.; Coons, Michael; Zudilin, Wadim
7
2016
Discrete analogues of Macdonald-Mehta integrals. Zbl 1343.05160
Brent, Richard P.; Krattenthaler, Christian; Warnaar, Ole
5
2016
Some binomial sums involving absolute values. Zbl 1336.05006
Brent, Richard P.; Ohtsuka, Hideyuki; Osborn, Judy-Anne H.; Prodinger, Helmut
5
2016
Probabilistic lower bounds on maximal determinants of binary matrices. Zbl 1375.05042
Brent, Richard P.; Osborn, Judy-Anne H.; Smith, Warren D.
2
2016
Note on best possible bounds for determinants of matrices close to the identity matrix. Zbl 1303.15007
Brent, Richard P.; Osborn, Judy-anne H.; Smith, Warren D.
6
2015
Root optimization of polynomials in the number field sieve. Zbl 1378.11104
Bai, Shi; Brent, Richard P.; Thomé, Emmanuel
5
2015
A bound for the error term in the Brent-McMillan algorithm. Zbl 1320.33007
Brent, Richard P.; Johansson, Fredrik
2
2015
Generalizing Tuenter’s binomial sums. Zbl 1309.05013
Brent, Richard P.
1
2015
Fast computation of Bernoulli, tangent and secant numbers. Zbl 1310.11120
Brent, Richard P.; Harvey, David
7
2013
General lower bounds on maximal determinants of binary matrices. Zbl 1267.05052
Brent, Richard P.; Osborn, Judy-Anne H.
3
2013
Finding D-optimal designs by randomised decomposition and switching. Zbl 1278.05059
Brent, Richard P.
2
2013
On minors of maximal determinant matrices. Zbl 1310.15055
Brent, Richard P.; Osborn, Judy-Anne H.
1
2013
Modern computer arithmetic. Zbl 1230.68014
Brent, Richard; Zimmermann, Paul
33
2011
The great trinomial hunt. Zbl 1277.11110
Brent, Richard P.; Zimmermann, Paul
5
2011
An \(O(M(n) \log n)\) algorithm for the Jacobi symbol. Zbl 1260.11081
Brent, Richard P.; Zimmermann, Paul
1
2010
Ten new primitive binary trinomials. Zbl 1206.11010
Brent, Richard P.; Zimmermann, Paul
4
2009
Faster multiplication in \(\text{GF}(2)[x]\). Zbl 1230.11152
Brent, Richard P.; Gaudry, Pierrick; Thomé, Emmanuel; Zimmermann, Paul
7
2008
A multi-level blocking distinct-degree factorization algorithm. Zbl 1213.11199
Brent, Richard P.; Zimmermann, Paul
2
2008
Error bounds on complex floating-point multiplication. Zbl 1118.65031
Brent, Richard; Percival, Colin; Zimmermann, Paul
10
2007
Some long-period random number generators using shifts and xors. Zbl 1334.65012
Brent, Richard Peirce
4
2007
A primitive trinomial of degree 6972593. Zbl 1077.11002
Brent, Richard P.; Larvala, Samuli; Zimmermann, Paul
1
2005
Algorithms for finding almost irreducible and almost primitive trinomials. Zbl 1087.11075
Brent, Richard P.; Zimmermann, Paul
2
2004
The improved parallel BiCG method for large and sparse unsymmetric linear systems on distributed memory architectures. Zbl 1103.65342
Yang, Laurence Tianruo; Brent, Richard P.
7
2003
A fast algorithm for testing reducibility of trinomials mod 2 and some new primitive trinomials of degree 3021377. Zbl 1119.11320
Brent, Richard P.; Larvala, Samuli; Zimmermann, Paul
5
2003
Random Krylov spaces over finite fields. Zbl 1044.11104
Brent, Richard P.; Gao, Shuhong; Lauder, Alan G. B.
4
2003
An efficient method for computing eigenvalues of a real normal matrix. Zbl 1056.65032
Zhou, B. B.; Brent, R. P.
2
2003
Algorithms for minimization without derivatives. Repr. of the 1973 original. Zbl 1009.90133
Brent, Richard P.
30
2002
Recent progress and prospects for integer factorisation algorithms. Zbl 0988.11056
Brent, Richard P.
9
2000
Three new factors of Fermat numbers. Zbl 1042.11082
Brent, R. P.; Crandall, R. E.; Dilcher, K.; Van Halewyn, C.
1
2000
Factorization of the tenth Fermat number. Zbl 0977.11053
Brent, Richard P.
5
1999
On quadratic polynomials for the number field sieve. Repr. from Australian Computer Science Communications 20, No. 3 (1998). Zbl 0990.11080
Murphy, Brian; Brent, Richard P.
2
1998
Random number generation and simulation on vector and parallel computers. Zbl 0928.65010
Brent, Richard P.
1
1998
A parallel ring ordering algorithm for efficient one-sided Jacobi SVD computations. Zbl 0880.68055
Zhou, B. B.; Brent, R. P.
4
1997
A comparative study of algorithms for computing continued fractions of algebraic numbers. Zbl 0899.11065
Brent, Richard P.; te Riele, Herman J. J.; van der Poorten, Alfred J.
4
1996
On the stability of the Bareiss and related Toeplitz factorization algorithms. Zbl 0819.65016
Bojanczyk, A. W.; Brent, R. P.; De Hoog, F. R.; Sweet, D. R.
16
1995
Stability analysis of a general Toeplitz system solver. Zbl 0837.65017
Bojanczyk, Adam W.; Brent, Richard P.; de Hoog, Frank R.
2
1995
Computing Aurifeuillian factors. Zbl 0840.12003
Brent, Richard P.
1
1995
On the periods of generalized Fibonacci recurrences. Zbl 0809.11083
Brent, Richard P.
8
1994
On computing factors of cyclotomic polynomials. Zbl 0785.11011
Brent, Richard P.
7
1993
Algorithmic fault tolerance using the Lanczos method. Zbl 0760.65048
Boley, Daniel L.; Brent, Richard P.; Golub, Gene H.; Luk, Franklin T.
4
1992
Improved techniques for lower bounds for odd perfect numbers. Zbl 0736.11004
Brent, R. P.; Cohen, G. L.; te Riele, Herman J. J.
19
1991
Parallel algorithms for Toeplitz systems. Zbl 0735.65009
Brent, Richard P.
2
1991
Parallel algorithms for digital signal processing. Zbl 0736.65012
Brent, Richard P.
1
1991
Parallel algorithms for integer factorisation. Zbl 0709.11074
Brent, Richard P.
2
1990
A new lower bound for odd perfect numbers. Zbl 0672.10006
Brent, Richard P.; Cohen, Graeme L.
3
1989
On determinants of random symmetric matrices over \(Z_ m\). Zbl 0691.15010
Brent, Richard P.; McKay, Brendan D.
4
1988
A note on downdating the Cholesky factorization. Zbl 0617.65013
Bojanczyk, A. W.; Brent, R. P.; van Dooren, P.; de Hoog, F. R.
21
1987
Determinants and ranks of random matrices over \({\mathbb{Z}}_ m\). Zbl 0628.15010
Brent, Richard P.; McKay, Brendan D.
7
1987
A linear algorithm for data compression. Zbl 0641.68029
Brent, R. P.
5
1987
A systolic algorithm for extended GCD computation. Zbl 0657.10002
Bojanczyk, A. W.; Brent, R. P.
1
1987
QR factorization of Toeplitz matrices. Zbl 0574.65019
Bojanczyk, A. W.; Brent, R. P.; de Hoog, F. R.
16
1986
Parallel solution of certain Toeplitz least-squares problems. Zbl 0587.65031
Bojańczyk, A.; Brent, R. P.
1
1986
The solution of singular-value and symmetric eigenvalue problems on multiprocessor arrays. Zbl 0575.65027
Brent, Richard P.; Luk, Franklin T.
31
1985
Computation of the singular value decomposition using mesh-connected processors. Zbl 0597.65029
Brent, Richard P.; Luk, Franklin T.; Van Loan, Charles F.
21
1985
Numerically stable solution of dense systems of linear equations using mesh-connected processors. Zbl 0574.65020
Bojanczyk, A.; Brent, R. P.; Kung, H. T.
8
1984
Systolic VLSI arrays for polynomial GCD computation. Zbl 0542.94043
Brent, Richard P.; Kung, H. T.
4
1984
A systolic array for the linear-time solution of Toeplitz systems of equations. Zbl 0532.68049
Brent, Richard P.; Luk, Franklin T.
6
1983
A regular layout for parallel adders. Zbl 0477.94037
Brent, Richard P.; Kung, H. T.
20
1982
On the zeros of the Riemann zeta function in the critical strip. II. Zbl 0486.10028
Brent, R. P.; van de Lune, J.; te Riele, Herman J. J.; Winter, D. T.
13
1982
Succinct proofs of primality for the factors of some Fermat numbers. Zbl 0478.10005
Brent, Richard P.
2
1982
Some area-time tradeoffs for VLSI. Zbl 0492.68041
Brent, Richard P.; Goldschlager, Leslie M.
1
1982
The area-time complexity of binary multiplication. Zbl 0462.68014
Brent, R. P.; Kung, H. T.
28
1981
Factorization of the eighth Fermat number. Zbl 0476.10007
Brent, Richard P.; Pollard, John M.
15
1981
Fast solution of Toeplitz systems of equations and computation of Padé approximants. Zbl 0475.65018
Brent, Richard P.; Gustavson, Fred G.; Yun, David Y. Y.
108
1980
An improved Monte Carlo factorization algorithm. Zbl 0439.65001
Brent, Richard P.
31
1980
Some new algorithms for high-precision computation of Euler’s constant. Zbl 0442.10002
Brent, Richard P.; McMillan, Edwin M.
11
1980
The first occurrence of certain large prime gaps. Zbl 0443.10003
Brent, Richard P.
5
1980
On the complexity of composition and generalized composition of power series. Zbl 0447.68033
Brent, R. P.; Traub, J. F.
4
1980
Unrestricted algorithms for elementary and special functions. Zbl 0442.65013
Brent, Richard P.
3
1980
An AUGMENT interface for Brent’s multiple precision arithmetic package. Zbl 0433.68028
Brent, Richard P.; Hooper, Judith A.; Yohe, J. Michael
1
1980
On the zeros of the Riemann zeta function in the critical strip. Zbl 0422.10031
Brent, Richard P.
18
1979
Fast algorithms for manipulating formal power series. Zbl 0388.68052
Brent, R. P.; Kung, H. T.
75
1978
Solving triangular systems on a parallel computer. Zbl 0375.65016
Sameh, Ahmed H.; Brent, Richard P.
20
1977
Fast algorithms for composition and reversion of multivariate power series (preliminary version). Zbl 0411.68043
Brent, R. P.; Kung, H. T.
3
1977
Computation of the regular continued fraction for Euler’s constant. Zbl 0369.10002
Brent, Richard P.
2
1977
Fast multiple-precision evaluation of elementary functions. Zbl 0324.65018
Brent, Richard P.
78
1976
Concerning \(\int^1_0\dots\int^1_0(\chi^2_1+\dots+\chi^2_k)^{1/2}d\chi_1\dots d\chi_k\) and a Taylor series method. Zbl 0337.65022
Anderssen, R. S.; Brent, R. P.; Daley, D. J.; Moran, P. A. P.
6
1976
Multiple-precision zero-finding methods and the complexity of elementary function evaluation. Zbl 0342.65031
Brent, Richard P.
4
1976
Analysis of the binary Euclidean algorithm. Zbl 0373.68040
Brent, Richard P.
2
1976
A class of optimal-order zero-finding methods using derivative evaluations. Zbl 0342.65030
Brent, Richard P.
1
1976
Irregularities in the distribution of primes and twin primes. Zbl 0295.10002
Brent, Richard P.
9
1975
Fast local convergence with single and multistep methods for nonlinear equations. Zbl 0359.65044
Abbott, James P.; Brent, Richard P.
7
1975
Some high-order zero-finding methods using almost orthogonal polynomials. Zbl 0333.65022
Brent, Richard P.
1
1975
The parallel evaluation of general arithmetic expressions. Zbl 0276.68010
Brent, Richard P.
121
1974
A Gaussian pseudo-random number generator \([G5]\). Zbl 0292.65003
Brent, Richard P.
9
1974
The distribution of small gaps between successive primes. Zbl 0274.10001
Brent, Richard P.
4
1974
Algorithms for minimization without derivatives. Zbl 0245.65032
Brent, Richard P.
325
1973
Some efficient algorithms for solving systems of nonlinear equations. Zbl 0258.65051
Brent, Richard P.
54
1973
The first occurrence of large gaps between successive primes. Zbl 0269.10002
Brent, Richard P.
15
1973
Reducing the retrieval time of scatter storage techniques. Zbl 0251.68019
Brent, Richard P.
12
1973
Optimal iterative processes for root-finding. Zbl 0252.65041
Brent, Richard; Winograd, Shmuel; Wolfe, Philip
11
1973
The parallel evaluation of arithmetic expression without division. Zbl 0252.68028
Brent, Richard; Kuck, David; Maruyama, Kiyoshi
11
1973
On the precision attainable with various floating-point number systems. Zbl 0261.65036
Brent, Richard P.
2
1973
A new algorithm for minimizing a function of several variables without calculating derivatives. Zbl 0311.90065
Brent, R. P.
10
1972
On the Davidenko-Branin method for solving simultaneous nonlinear equations. Zbl 0276.65023
Brent, R. P.
8
1972
An algorithm with guaranteed convergence for finding a zero of a function. Zbl 0231.65046
Brent, R. P.
51
1971
...and 2 more Documents
all top 5

Cited by 2,064 Authors

28 Brent, Richard Peirce
22 Pan, Victor Yakovlevich
17 Schost, Éric
16 van der Hoeven, Joris
9 Bojanczyk, Adam W.
9 Rump, Siegfried Michael
8 Petković, Miodrag S.
7 Akl, Selim G.
7 Bach, Eric
7 Gu, Tongxiang
7 Harvey, David I.
7 Lecerf, Grégoire
7 Panario, Daniel
7 Zuo, Xianyu
6 Borwein, Jonathan Michael
6 Breslauer, Dany
6 Heinig, Georg
6 Jeannerod, Claude-Pierre
6 Potra, Florian-Alexandru
6 Van Dooren, Paul M.
6 von zur Gathen, Joachim
5 Borwein, Peter Benjamin
5 Bostan, Alin
5 Bravo, Jhon Jairo
5 Codenotti, Bruno
5 Cohen, Graeme L.
5 Crandall, Richard E.
5 de la Llave, Rafael
5 Johansson, Fredrik
5 Mastronardi, Nicola
5 Salvy, Bruno
5 Zhang, Litao
5 Zimmermann, Paul
4 Agarwal, Ravi P.
4 Bailey, David Harold
4 Coons, Michael
4 Doliskani, Javad
4 Džunić, Jovana
4 Galil, Zvi
4 Glowinski, Roland
4 Goodrich, Michael Truman
4 Hansen, Pierre
4 Jaumard, Brigitte
4 Karatsuba, Ekaterina Anatol’evna
4 Luca, Florian
4 Muller, Jean-Michel
4 Petković, Ljiljana D.
4 Preparata, Franco P.
4 Sen, Syamal Kumar
4 Trench, William F.
4 Trudgian, Timothy S.
4 Van Barel, Marc
4 Vrahatis, Michael N.
4 Yap, Chee-Keng
4 Zufiria, Pedro J.
3 Alefeld, Götz E.
3 Andrews, Jeffrey L.
3 Atallah, Mikhail J.
3 Bernstein, Daniel Julius
3 Berthomieu, Jérémy
3 Blakey, Ed
3 Büthe, Jan
3 Cao, Xiaodong
3 Charlier, J.-P.
3 De Agostino, Sergio
3 De Feo, Luca
3 Deng, Naiyang
3 Eldén, Lars
3 Eppstein, David Arthur
3 Falcone, Maurizio
3 Farooq, Aamir
3 Farouki, Rida T.
3 Ferretti, Roberto Giorgio
3 Fortes, Miguel Angel
3 Gemignani, Luca
3 Giesbrecht, Mark W.
3 Gonnet, Gaston H.
3 Gutman, Semion
3 Guttalu, Ramesh S.
3 Hong, Jin
3 Kailath, Thomas
3 Kaltofen, Erich L.
3 Koko, Jonas
3 Kotsireas, Ilias S.
3 Labahn, George
3 Leão, Jeremias
3 Lenstra, Hendrik W. jun.
3 Limaye, Nutan
3 Liu, Xingping
3 Louvet, Nicolas
3 Lu, Shi-Hui
3 Luk, Franklin T.
3 Magoulas, George D.
3 Martínez, José Mario
3 McNicholas, Paul D.
3 Meyers, Johan
3 Mezzarobba, Marc
3 Mifflin, Robert
3 Moghrabi, Issam A. R.
3 Nagy, James Gerard
...and 1,964 more Authors
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Cited in 339 Serials

96 Mathematics of Computation
71 Linear Algebra and its Applications
52 Journal of Computational and Applied Mathematics
41 Journal of Symbolic Computation
35 Computers & Mathematics with Applications
34 Applied Mathematics and Computation
34 Theoretical Computer Science
32 Information Processing Letters
30 Numerische Mathematik
28 Journal of Computational Physics
27 Journal of Complexity
25 Algorithmica
22 Computational Statistics and Data Analysis
21 Computing
20 BIT
17 International Journal of Computer Mathematics
16 Journal of Computer and System Sciences
16 Numerical Algorithms
15 Discrete Applied Mathematics
11 Calcolo
11 Journal of Optimization Theory and Applications
11 Journal of Statistical Computation and Simulation
10 Journal of Number Theory
10 Parallel Algorithms and Applications
9 Computer Methods in Applied Mechanics and Engineering
9 Mathematical Programming
9 Information and Computation
9 Applicable Algebra in Engineering, Communication and Computing
8 European Journal of Operational Research
8 Mathematical Programming. Series A. Series B
7 Mathematics and Computers in Simulation
7 Applied Numerical Mathematics
7 Journal of Global Optimization
7 Journal of Integer Sequences
6 Computer Physics Communications
6 Computational Geometry
6 Communications in Statistics. Simulation and Computation
6 Experimental Mathematics
6 SIAM Journal on Scientific Computing
6 Finite Fields and their Applications
6 Optimization Methods & Software
5 Computers and Fluids
5 Journal of Mathematical Analysis and Applications
5 Psychometrika
5 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
5 Information Sciences
5 Journal of Econometrics
5 SIAM Journal on Computing
5 Computers & Operations Research
5 Applied Mathematics Letters
5 SIAM Journal on Matrix Analysis and Applications
5 Designs, Codes and Cryptography
5 Computational Complexity
5 Journal de Théorie des Nombres de Bordeaux
5 Computational and Applied Mathematics
5 Statistics and Computing
4 Discrete Mathematics
4 The Mathematical Intelligencer
4 Automatica
4 SIAM Journal on Algebraic and Discrete Methods
4 Computer Aided Geometric Design
4 Japan Journal of Industrial and Applied Mathematics
4 The Journal of Supercomputing
4 Engineering Analysis with Boundary Elements
4 The Ramanujan Journal
4 LMS Journal of Computation and Mathematics
4 Brazilian Journal of Probability and Statistics
4 BIT. Nordisk Tidskrift for Informationsbehandling
4 Mathematics in Computer Science
3 Acta Informatica
3 Astrophysics and Space Science
3 Bulletin of the Australian Mathematical Society
3 Lithuanian Mathematical Journal
3 Metrika
3 Chaos, Solitons and Fractals
3 Journal of Approximation Theory
3 Journal of Differential Equations
3 Journal of Mathematical Psychology
3 Journal of Soviet Mathematics
3 Journal of Statistical Planning and Inference
3 Mathematical Systems Theory
3 Numerical Functional Analysis and Optimization
3 Proceedings of the American Mathematical Society
3 Transactions of the American Mathematical Society
3 European Journal of Combinatorics
3 Circuits, Systems, and Signal Processing
3 Mathematical and Computer Modelling
3 Journal of Scientific Computing
3 Annals of Operations Research
3 Computational Statistics
3 Applied Mathematical Modelling
3 SIAM Review
3 Celestial Mechanics and Dynamical Astronomy
3 Physics of Fluids
3 Journal of Mathematical Sciences (New York)
3 Numerical Linear Algebra with Applications
3 Theory of Computing Systems
3 Computational Geosciences
3 Foundations of Computational Mathematics
3 International Journal of Number Theory
...and 239 more Serials
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Cited in 54 Fields

578 Numerical analysis (65-XX)
384 Computer science (68-XX)
241 Number theory (11-XX)
123 Operations research, mathematical programming (90-XX)
119 Statistics (62-XX)
91 Linear and multilinear algebra; matrix theory (15-XX)
86 Information and communication theory, circuits (94-XX)
48 Fluid mechanics (76-XX)
44 Field theory and polynomials (12-XX)
42 Combinatorics (05-XX)
38 Special functions (33-XX)
38 Probability theory and stochastic processes (60-XX)
35 Calculus of variations and optimal control; optimization (49-XX)
32 Approximations and expansions (41-XX)
30 Partial differential equations (35-XX)
28 Commutative algebra (13-XX)
25 Ordinary differential equations (34-XX)
25 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
23 Real functions (26-XX)
23 Systems theory; control (93-XX)
22 Algebraic geometry (14-XX)
22 Mechanics of deformable solids (74-XX)
19 Functions of a complex variable (30-XX)
19 Biology and other natural sciences (92-XX)
18 Mathematical logic and foundations (03-XX)
18 Mechanics of particles and systems (70-XX)
14 Dynamical systems and ergodic theory (37-XX)
11 Operator theory (47-XX)
11 Quantum theory (81-XX)
11 Statistical mechanics, structure of matter (82-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
8 Convex and discrete geometry (52-XX)
7 Group theory and generalizations (20-XX)
6 General and overarching topics; collections (00-XX)
6 History and biography (01-XX)
6 Difference and functional equations (39-XX)
6 Sequences, series, summability (40-XX)
6 Differential geometry (53-XX)
6 Classical thermodynamics, heat transfer (80-XX)
5 Optics, electromagnetic theory (78-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Geophysics (86-XX)
3 Measure and integration (28-XX)
3 Integral equations (45-XX)
3 Relativity and gravitational theory (83-XX)
3 Astronomy and astrophysics (85-XX)
2 Manifolds and cell complexes (57-XX)
1 General algebraic systems (08-XX)
1 Abstract harmonic analysis (43-XX)
1 Integral transforms, operational calculus (44-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Mathematics education (97-XX)

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