Edit Profile (opens in new tab) Brent, Richard Peirce Compute Distance To: Compute Author ID: brent.richard-peirce Published as: Brent, Richard P.; Brent, R. P.; Brent, Richard; Brent, Richard Peirce External Links: MGP · ORCID · Wikidata · dblp · GND · IdRef · theses.fr Documents Indexed: 131 Publications since 1970, including 4 Books 1 Contribution as Editor · 1 Further Contribution Co-Authors: 72 Co-Authors with 81 Joint Publications 2,168 Co-Co-Authors 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 all top 5 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 all top 5 Fields 63 Numerical analysis (65-XX) 54 Number theory (11-XX) 47 Computer science (68-XX) 12 Combinatorics (05-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 11 Information and communication theory, circuits (94-XX) 9 Special functions (33-XX) 6 Approximations and expansions (41-XX) 4 Field theory and polynomials (12-XX) 4 Probability theory and stochastic processes (60-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Functions of a complex variable (30-XX) 3 Operations research, mathematical programming (90-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistics (62-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Real functions (26-XX) 1 Sequences, series, summability (40-XX) 1 Integral equations (45-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications 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 0245.65032Brent, Richard P. 325 1973 The parallel evaluation of general arithmetic expressions. Zbl 0276.68010Brent, Richard P. 121 1974 Fast solution of Toeplitz systems of equations and computation of Padé approximants. Zbl 0475.65018Brent, Richard P.; Gustavson, Fred G.; Yun, David Y. Y. 108 1980 Fast multiple-precision evaluation of elementary functions. Zbl 0324.65018Brent, Richard P. 78 1976 Fast algorithms for manipulating formal power series. Zbl 0388.68052Brent, R. P.; Kung, H. T. 75 1978 Some efficient algorithms for solving systems of nonlinear equations. Zbl 0258.65051Brent, Richard P. 54 1973 An algorithm with guaranteed convergence for finding a zero of a function. Zbl 0231.65046Brent, R. P. 51 1971 Modern computer arithmetic. Zbl 1230.68014Brent, Richard; Zimmermann, Paul 33 2011 The solution of singular-value and symmetric eigenvalue problems on multiprocessor arrays. Zbl 0575.65027Brent, Richard P.; Luk, Franklin T. 31 1985 An improved Monte Carlo factorization algorithm. Zbl 0439.65001Brent, Richard P. 31 1980 Algorithms for minimization without derivatives. Repr. of the 1973 original. Zbl 1009.90133Brent, Richard P. 30 2002 The area-time complexity of binary multiplication. Zbl 0462.68014Brent, R. P.; Kung, H. T. 28 1981 A note on downdating the Cholesky factorization. Zbl 0617.65013Bojanczyk, 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 0597.65029Brent, Richard P.; Luk, Franklin T.; Van Loan, Charles F. 21 1985 A regular layout for parallel adders. Zbl 0477.94037Brent, Richard P.; Kung, H. T. 20 1982 Solving triangular systems on a parallel computer. Zbl 0375.65016Sameh, Ahmed H.; Brent, Richard P. 20 1977 Improved techniques for lower bounds for odd perfect numbers. Zbl 0736.11004Brent, 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 0193.11902Brent, R. P. 19 1970 On the zeros of the Riemann zeta function in the critical strip. Zbl 0422.10031Brent, Richard P. 18 1979 On the stability of the Bareiss and related Toeplitz factorization algorithms. Zbl 0819.65016Bojanczyk, A. W.; Brent, R. P.; De Hoog, F. R.; Sweet, D. R. 16 1995 QR factorization of Toeplitz matrices. Zbl 0574.65019Bojanczyk, A. W.; Brent, R. P.; de Hoog, F. R. 16 1986 Factorization of the eighth Fermat number. Zbl 0476.10007Brent, Richard P.; Pollard, John M. 15 1981 The first occurrence of large gaps between successive primes. Zbl 0269.10002Brent, Richard P. 15 1973 On the zeros of the Riemann zeta function in the critical strip. II. Zbl 0486.10028Brent, 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 0251.68019Brent, Richard P. 12 1973 Some new algorithms for high-precision computation of Euler’s constant. Zbl 0442.10002Brent, Richard P.; McMillan, Edwin M. 11 1980 Optimal iterative processes for root-finding. Zbl 0252.65041Brent, Richard; Winograd, Shmuel; Wolfe, Philip 11 1973 The parallel evaluation of arithmetic expression without division. Zbl 0252.68028Brent, Richard; Kuck, David; Maruyama, Kiyoshi 11 1973 Error bounds on complex floating-point multiplication. Zbl 1118.65031Brent, Richard; Percival, Colin; Zimmermann, Paul 10 2007 A new algorithm for minimizing a function of several variables without calculating derivatives. Zbl 0311.90065Brent, R. P. 10 1972 Recent progress and prospects for integer factorisation algorithms. Zbl 0988.11056Brent, Richard P. 9 2000 Irregularities in the distribution of primes and twin primes. Zbl 0295.10002Brent, Richard P. 9 1975 A Gaussian pseudo-random number generator \([G5]\). Zbl 0292.65003Brent, Richard P. 9 1974 Numerically stable solution of dense systems of linear equations using mesh-connected processors. Zbl 0574.65020Bojanczyk, A.; Brent, R. P.; Kung, H. T. 8 1984 On the periods of generalized Fibonacci recurrences. Zbl 0809.11083Brent, Richard P. 8 1994 On the Davidenko-Branin method for solving simultaneous nonlinear equations. Zbl 0276.65023Brent, R. P. 8 1972 Determinants and ranks of random matrices over \({\mathbb{Z}}_ m\). Zbl 0628.15010Brent, Richard P.; McKay, Brendan D. 7 1987 On computing factors of cyclotomic polynomials. Zbl 0785.11011Brent, Richard P. 7 1993 Fast computation of Bernoulli, tangent and secant numbers. Zbl 1310.11120Brent, Richard P.; Harvey, David 7 2013 The improved parallel BiCG method for large and sparse unsymmetric linear systems on distributed memory architectures. Zbl 1103.65342Yang, Laurence Tianruo; Brent, Richard P. 7 2003 Faster multiplication in \(\text{GF}(2)[x]\). Zbl 1230.11152Brent, Richard P.; Gaudry, Pierrick; Thomé, Emmanuel; Zimmermann, Paul 7 2008 On the addition of binary numbers. Zbl 0199.51702Brent, R. 7 1970 Fast local convergence with single and multistep methods for nonlinear equations. Zbl 0359.65044Abbott, James P.; Brent, Richard P. 7 1975 Algebraic independence of Mahler functions via radial asymptotics. Zbl 1415.11104Brent, Richard P.; Coons, Michael; Zudilin, Wadim 7 2016 A systolic array for the linear-time solution of Toeplitz systems of equations. Zbl 0532.68049Brent, Richard P.; Luk, Franklin T. 6 1983 Note on best possible bounds for determinants of matrices close to the identity matrix. Zbl 1303.15007Brent, 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 0337.65022Anderssen, R. S.; Brent, R. P.; Daley, D. J.; Moran, P. A. P. 6 1976 Factorization of the tenth Fermat number. Zbl 0977.11053Brent, Richard P. 5 1999 A linear algorithm for data compression. Zbl 0641.68029Brent, R. P. 5 1987 Root optimization of polynomials in the number field sieve. Zbl 1378.11104Bai, Shi; Brent, Richard P.; Thomé, Emmanuel 5 2015 Discrete analogues of Macdonald-Mehta integrals. Zbl 1343.05160Brent, 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 1119.11320Brent, Richard P.; Larvala, Samuli; Zimmermann, Paul 5 2003 The great trinomial hunt. Zbl 1277.11110Brent, Richard P.; Zimmermann, Paul 5 2011 The first occurrence of certain large prime gaps. Zbl 0443.10003Brent, Richard P. 5 1980 Some binomial sums involving absolute values. Zbl 1336.05006Brent, Richard P.; Ohtsuka, Hideyuki; Osborn, Judy-Anne H.; Prodinger, Helmut 5 2016 On determinants of random symmetric matrices over \(Z_ m\). Zbl 0691.15010Brent, Richard P.; McKay, Brendan D. 4 1988 A comparative study of algorithms for computing continued fractions of algebraic numbers. Zbl 0899.11065Brent, Richard P.; te Riele, Herman J. J.; van der Poorten, Alfred J. 4 1996 Systolic VLSI arrays for polynomial GCD computation. Zbl 0542.94043Brent, Richard P.; Kung, H. T. 4 1984 Algorithmic fault tolerance using the Lanczos method. Zbl 0760.65048Boley, 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 0880.68055Zhou, B. B.; Brent, R. P. 4 1997 On the complexity of composition and generalized composition of power series. Zbl 0447.68033Brent, R. P.; Traub, J. F. 4 1980 Multiple-precision zero-finding methods and the complexity of elementary function evaluation. Zbl 0342.65031Brent, Richard P. 4 1976 Random Krylov spaces over finite fields. Zbl 1044.11104Brent, Richard P.; Gao, Shuhong; Lauder, Alan G. B. 4 2003 The distribution of small gaps between successive primes. Zbl 0274.10001Brent, Richard P. 4 1974 Some long-period random number generators using shifts and xors. Zbl 1334.65012Brent, Richard Peirce 4 2007 Ten new primitive binary trinomials. Zbl 1206.11010Brent, Richard P.; Zimmermann, Paul 4 2009 A new lower bound for odd perfect numbers. Zbl 0672.10006Brent, Richard P.; Cohen, Graeme L. 3 1989 General lower bounds on maximal determinants of binary matrices. Zbl 1267.05052Brent, Richard P.; Osborn, Judy-Anne H. 3 2013 Fast algorithms for composition and reversion of multivariate power series (preliminary version). Zbl 0411.68043Brent, R. P.; Kung, H. T. 3 1977 Unrestricted algorithms for elementary and special functions. Zbl 0442.65013Brent, Richard P. 3 1980 Reproducibility in computational science: A case study: randomness of the digits of pi. Zbl 1426.11133Bailey, David H.; Borwein, Jonathan M.; Brent, Richard P.; Reisi, Mohsen 3 2017 Parallel algorithms for integer factorisation. Zbl 0709.11074Brent, Richard P. 2 1990 Stability analysis of a general Toeplitz system solver. Zbl 0837.65017Bojanczyk, 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 0990.11080Murphy, Brian; Brent, Richard P. 2 1998 Algorithms for finding almost irreducible and almost primitive trinomials. Zbl 1087.11075Brent, Richard P.; Zimmermann, Paul 2 2004 A multi-level blocking distinct-degree factorization algorithm. Zbl 1213.11199Brent, Richard P.; Zimmermann, Paul 2 2008 A bound for the error term in the Brent-McMillan algorithm. Zbl 1320.33007Brent, Richard P.; Johansson, Fredrik 2 2015 Finding D-optimal designs by randomised decomposition and switching. Zbl 1278.05059Brent, Richard P. 2 2013 Succinct proofs of primality for the factors of some Fermat numbers. Zbl 0478.10005Brent, Richard P. 2 1982 An efficient method for computing eigenvalues of a real normal matrix. Zbl 1056.65032Zhou, B. B.; Brent, R. P. 2 2003 Parallel algorithms for Toeplitz systems. Zbl 0735.65009Brent, Richard P. 2 1991 On the precision attainable with various floating-point number systems. Zbl 0261.65036Brent, Richard P. 2 1973 Computation of the regular continued fraction for Euler’s constant. Zbl 0369.10002Brent, Richard P. 2 1977 Analysis of the binary Euclidean algorithm. Zbl 0373.68040Brent, Richard P. 2 1976 On the accuracy of asymptotic approximations to the log-gamma and Riemann-Siegel theta functions. Zbl 1436.11106Brent, Richard P. 2 2019 Probabilistic lower bounds on maximal determinants of binary matrices. Zbl 1375.05042Brent, Richard P.; Osborn, Judy-Anne H.; Smith, Warren D. 2 2016 Random number generation and simulation on vector and parallel computers. Zbl 0928.65010Brent, Richard P. 1 1998 A systolic algorithm for extended GCD computation. Zbl 0657.10002Bojanczyk, A. W.; Brent, R. P. 1 1987 On minors of maximal determinant matrices. Zbl 1310.15055Brent, Richard P.; Osborn, Judy-Anne H. 1 2013 Some area-time tradeoffs for VLSI. Zbl 0492.68041Brent, Richard P.; Goldschlager, Leslie M. 1 1982 Computing Aurifeuillian factors. Zbl 0840.12003Brent, Richard P. 1 1995 Three new factors of Fermat numbers. Zbl 1042.11082Brent, R. P.; Crandall, R. E.; Dilcher, K.; Van Halewyn, C. 1 2000 A primitive trinomial of degree 6972593. Zbl 1077.11002Brent, Richard P.; Larvala, Samuli; Zimmermann, Paul 1 2005 An \(O(M(n) \log n)\) algorithm for the Jacobi symbol. Zbl 1260.11081Brent, Richard P.; Zimmermann, Paul 1 2010 Generalizing Tuenter’s binomial sums. Zbl 1309.05013Brent, Richard P. 1 2015 Parallel solution of certain Toeplitz least-squares problems. Zbl 0587.65031Bojańczyk, A.; Brent, R. P. 1 1986 An AUGMENT interface for Brent’s multiple precision arithmetic package. Zbl 0433.68028Brent, Richard P.; Hooper, Judith A.; Yohe, J. Michael 1 1980 Some high-order zero-finding methods using almost orthogonal polynomials. Zbl 0333.65022Brent, Richard P. 1 1975 A class of optimal-order zero-finding methods using derivative evaluations. Zbl 0342.65030Brent, Richard P. 1 1976 Parallel algorithms for digital signal processing. Zbl 0736.65012Brent, Richard P. 1 1991 Accurate estimation of sums over zeros of the Riemann zeta-function. Zbl 1480.11103Brent, 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 1436.11106Brent, Richard P. 2 2019 Computation of maximal determinants of binary circulant matrices. Zbl 1388.05028Brent, Richard P.; Yedidia, Adam B. 1 2018 Reproducibility in computational science: A case study: randomness of the digits of pi. Zbl 1426.11133Bailey, David H.; Borwein, Jonathan M.; Brent, Richard P.; Reisi, Mohsen 3 2017 Algebraic independence of Mahler functions via radial asymptotics. Zbl 1415.11104Brent, Richard P.; Coons, Michael; Zudilin, Wadim 7 2016 Discrete analogues of Macdonald-Mehta integrals. Zbl 1343.05160Brent, Richard P.; Krattenthaler, Christian; Warnaar, Ole 5 2016 Some binomial sums involving absolute values. Zbl 1336.05006Brent, Richard P.; Ohtsuka, Hideyuki; Osborn, Judy-Anne H.; Prodinger, Helmut 5 2016 Probabilistic lower bounds on maximal determinants of binary matrices. Zbl 1375.05042Brent, 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 1303.15007Brent, Richard P.; Osborn, Judy-anne H.; Smith, Warren D. 6 2015 Root optimization of polynomials in the number field sieve. Zbl 1378.11104Bai, Shi; Brent, Richard P.; Thomé, Emmanuel 5 2015 A bound for the error term in the Brent-McMillan algorithm. Zbl 1320.33007Brent, Richard P.; Johansson, Fredrik 2 2015 Generalizing Tuenter’s binomial sums. Zbl 1309.05013Brent, Richard P. 1 2015 Fast computation of Bernoulli, tangent and secant numbers. Zbl 1310.11120Brent, Richard P.; Harvey, David 7 2013 General lower bounds on maximal determinants of binary matrices. Zbl 1267.05052Brent, Richard P.; Osborn, Judy-Anne H. 3 2013 Finding D-optimal designs by randomised decomposition and switching. Zbl 1278.05059Brent, Richard P. 2 2013 On minors of maximal determinant matrices. Zbl 1310.15055Brent, Richard P.; Osborn, Judy-Anne H. 1 2013 Modern computer arithmetic. Zbl 1230.68014Brent, Richard; Zimmermann, Paul 33 2011 The great trinomial hunt. Zbl 1277.11110Brent, Richard P.; Zimmermann, Paul 5 2011 An \(O(M(n) \log n)\) algorithm for the Jacobi symbol. Zbl 1260.11081Brent, Richard P.; Zimmermann, Paul 1 2010 Ten new primitive binary trinomials. Zbl 1206.11010Brent, Richard P.; Zimmermann, Paul 4 2009 Faster multiplication in \(\text{GF}(2)[x]\). Zbl 1230.11152Brent, Richard P.; Gaudry, Pierrick; Thomé, Emmanuel; Zimmermann, Paul 7 2008 A multi-level blocking distinct-degree factorization algorithm. Zbl 1213.11199Brent, Richard P.; Zimmermann, Paul 2 2008 Error bounds on complex floating-point multiplication. Zbl 1118.65031Brent, Richard; Percival, Colin; Zimmermann, Paul 10 2007 Some long-period random number generators using shifts and xors. Zbl 1334.65012Brent, Richard Peirce 4 2007 A primitive trinomial of degree 6972593. Zbl 1077.11002Brent, Richard P.; Larvala, Samuli; Zimmermann, Paul 1 2005 Algorithms for finding almost irreducible and almost primitive trinomials. Zbl 1087.11075Brent, Richard P.; Zimmermann, Paul 2 2004 The improved parallel BiCG method for large and sparse unsymmetric linear systems on distributed memory architectures. Zbl 1103.65342Yang, 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 1119.11320Brent, Richard P.; Larvala, Samuli; Zimmermann, Paul 5 2003 Random Krylov spaces over finite fields. Zbl 1044.11104Brent, Richard P.; Gao, Shuhong; Lauder, Alan G. B. 4 2003 An efficient method for computing eigenvalues of a real normal matrix. Zbl 1056.65032Zhou, B. B.; Brent, R. P. 2 2003 Algorithms for minimization without derivatives. Repr. of the 1973 original. Zbl 1009.90133Brent, Richard P. 30 2002 Recent progress and prospects for integer factorisation algorithms. Zbl 0988.11056Brent, Richard P. 9 2000 Three new factors of Fermat numbers. Zbl 1042.11082Brent, R. P.; Crandall, R. E.; Dilcher, K.; Van Halewyn, C. 1 2000 Factorization of the tenth Fermat number. Zbl 0977.11053Brent, Richard P. 5 1999 On quadratic polynomials for the number field sieve. Repr. from Australian Computer Science Communications 20, No. 3 (1998). Zbl 0990.11080Murphy, Brian; Brent, Richard P. 2 1998 Random number generation and simulation on vector and parallel computers. Zbl 0928.65010Brent, Richard P. 1 1998 A parallel ring ordering algorithm for efficient one-sided Jacobi SVD computations. Zbl 0880.68055Zhou, B. B.; Brent, R. P. 4 1997 A comparative study of algorithms for computing continued fractions of algebraic numbers. Zbl 0899.11065Brent, 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 0819.65016Bojanczyk, A. W.; Brent, R. P.; De Hoog, F. R.; Sweet, D. R. 16 1995 Stability analysis of a general Toeplitz system solver. Zbl 0837.65017Bojanczyk, Adam W.; Brent, Richard P.; de Hoog, Frank R. 2 1995 Computing Aurifeuillian factors. Zbl 0840.12003Brent, Richard P. 1 1995 On the periods of generalized Fibonacci recurrences. Zbl 0809.11083Brent, Richard P. 8 1994 On computing factors of cyclotomic polynomials. Zbl 0785.11011Brent, Richard P. 7 1993 Algorithmic fault tolerance using the Lanczos method. Zbl 0760.65048Boley, Daniel L.; Brent, Richard P.; Golub, Gene H.; Luk, Franklin T. 4 1992 Improved techniques for lower bounds for odd perfect numbers. Zbl 0736.11004Brent, R. P.; Cohen, G. L.; te Riele, Herman J. J. 19 1991 Parallel algorithms for Toeplitz systems. Zbl 0735.65009Brent, Richard P. 2 1991 Parallel algorithms for digital signal processing. Zbl 0736.65012Brent, Richard P. 1 1991 Parallel algorithms for integer factorisation. Zbl 0709.11074Brent, Richard P. 2 1990 A new lower bound for odd perfect numbers. Zbl 0672.10006Brent, Richard P.; Cohen, Graeme L. 3 1989 On determinants of random symmetric matrices over \(Z_ m\). Zbl 0691.15010Brent, Richard P.; McKay, Brendan D. 4 1988 A note on downdating the Cholesky factorization. Zbl 0617.65013Bojanczyk, 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 0628.15010Brent, Richard P.; McKay, Brendan D. 7 1987 A linear algorithm for data compression. Zbl 0641.68029Brent, R. P. 5 1987 A systolic algorithm for extended GCD computation. Zbl 0657.10002Bojanczyk, A. W.; Brent, R. P. 1 1987 QR factorization of Toeplitz matrices. Zbl 0574.65019Bojanczyk, A. W.; Brent, R. P.; de Hoog, F. R. 16 1986 Parallel solution of certain Toeplitz least-squares problems. Zbl 0587.65031Bojańczyk, A.; Brent, R. P. 1 1986 The solution of singular-value and symmetric eigenvalue problems on multiprocessor arrays. Zbl 0575.65027Brent, Richard P.; Luk, Franklin T. 31 1985 Computation of the singular value decomposition using mesh-connected processors. Zbl 0597.65029Brent, 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 0574.65020Bojanczyk, A.; Brent, R. P.; Kung, H. T. 8 1984 Systolic VLSI arrays for polynomial GCD computation. Zbl 0542.94043Brent, Richard P.; Kung, H. T. 4 1984 A systolic array for the linear-time solution of Toeplitz systems of equations. Zbl 0532.68049Brent, Richard P.; Luk, Franklin T. 6 1983 A regular layout for parallel adders. Zbl 0477.94037Brent, Richard P.; Kung, H. T. 20 1982 On the zeros of the Riemann zeta function in the critical strip. II. Zbl 0486.10028Brent, 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 0478.10005Brent, Richard P. 2 1982 Some area-time tradeoffs for VLSI. Zbl 0492.68041Brent, Richard P.; Goldschlager, Leslie M. 1 1982 The area-time complexity of binary multiplication. Zbl 0462.68014Brent, R. P.; Kung, H. T. 28 1981 Factorization of the eighth Fermat number. Zbl 0476.10007Brent, Richard P.; Pollard, John M. 15 1981 Fast solution of Toeplitz systems of equations and computation of Padé approximants. Zbl 0475.65018Brent, Richard P.; Gustavson, Fred G.; Yun, David Y. Y. 108 1980 An improved Monte Carlo factorization algorithm. Zbl 0439.65001Brent, Richard P. 31 1980 Some new algorithms for high-precision computation of Euler’s constant. Zbl 0442.10002Brent, Richard P.; McMillan, Edwin M. 11 1980 The first occurrence of certain large prime gaps. Zbl 0443.10003Brent, Richard P. 5 1980 On the complexity of composition and generalized composition of power series. Zbl 0447.68033Brent, R. P.; Traub, J. F. 4 1980 Unrestricted algorithms for elementary and special functions. Zbl 0442.65013Brent, Richard P. 3 1980 An AUGMENT interface for Brent’s multiple precision arithmetic package. Zbl 0433.68028Brent, Richard P.; Hooper, Judith A.; Yohe, J. Michael 1 1980 On the zeros of the Riemann zeta function in the critical strip. Zbl 0422.10031Brent, Richard P. 18 1979 Fast algorithms for manipulating formal power series. Zbl 0388.68052Brent, R. P.; Kung, H. T. 75 1978 Solving triangular systems on a parallel computer. Zbl 0375.65016Sameh, Ahmed H.; Brent, Richard P. 20 1977 Fast algorithms for composition and reversion of multivariate power series (preliminary version). Zbl 0411.68043Brent, R. P.; Kung, H. T. 3 1977 Computation of the regular continued fraction for Euler’s constant. Zbl 0369.10002Brent, Richard P. 2 1977 Fast multiple-precision evaluation of elementary functions. Zbl 0324.65018Brent, 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 0337.65022Anderssen, 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 0342.65031Brent, Richard P. 4 1976 Analysis of the binary Euclidean algorithm. Zbl 0373.68040Brent, Richard P. 2 1976 A class of optimal-order zero-finding methods using derivative evaluations. Zbl 0342.65030Brent, Richard P. 1 1976 Irregularities in the distribution of primes and twin primes. Zbl 0295.10002Brent, Richard P. 9 1975 Fast local convergence with single and multistep methods for nonlinear equations. Zbl 0359.65044Abbott, James P.; Brent, Richard P. 7 1975 Some high-order zero-finding methods using almost orthogonal polynomials. Zbl 0333.65022Brent, Richard P. 1 1975 The parallel evaluation of general arithmetic expressions. Zbl 0276.68010Brent, Richard P. 121 1974 A Gaussian pseudo-random number generator \([G5]\). Zbl 0292.65003Brent, Richard P. 9 1974 The distribution of small gaps between successive primes. Zbl 0274.10001Brent, Richard P. 4 1974 Algorithms for minimization without derivatives. Zbl 0245.65032Brent, Richard P. 325 1973 Some efficient algorithms for solving systems of nonlinear equations. Zbl 0258.65051Brent, Richard P. 54 1973 The first occurrence of large gaps between successive primes. Zbl 0269.10002Brent, Richard P. 15 1973 Reducing the retrieval time of scatter storage techniques. Zbl 0251.68019Brent, Richard P. 12 1973 Optimal iterative processes for root-finding. Zbl 0252.65041Brent, Richard; Winograd, Shmuel; Wolfe, Philip 11 1973 The parallel evaluation of arithmetic expression without division. Zbl 0252.68028Brent, Richard; Kuck, David; Maruyama, Kiyoshi 11 1973 On the precision attainable with various floating-point number systems. Zbl 0261.65036Brent, Richard P. 2 1973 A new algorithm for minimizing a function of several variables without calculating derivatives. Zbl 0311.90065Brent, R. P. 10 1972 On the Davidenko-Branin method for solving simultaneous nonlinear equations. Zbl 0276.65023Brent, R. P. 8 1972 An algorithm with guaranteed convergence for finding a zero of a function. Zbl 0231.65046Brent, R. P. 51 1971 ...and 2 more Documents all cited Publications top 5 cited Publications 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 all top 5 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. 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