Vo, H. D.; Sidje, R. B. Implementation of variable parameters in the Krylov-based finite state projection for solving the chemical master equation. (English) Zbl 1411.65070 Appl. Math. Comput. 293, 334-344 (2017). MSC: 65F60 65L05 92E10 PDF BibTeX XML Cite \textit{H. D. Vo} and \textit{R. B. Sidje}, Appl. Math. Comput. 293, 334--344 (2017; Zbl 1411.65070) Full Text: DOI
Sadkane, Miloud; Sidje, Roger B. An alternating maximization method for approximating the hump of the matrix exponential. (English) Zbl 1378.65097 BIT 57, No. 3, 609-628 (2017). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F60 65K10 49J05 15A18 PDF BibTeX XML Cite \textit{M. Sadkane} and \textit{R. B. Sidje}, BIT 57, No. 3, 609--628 (2017; Zbl 1378.65097) Full Text: DOI
Vo, Huy D.; Sidje, Roger B. Approximating the large sparse matrix exponential using incomplete orthogonalization and Krylov subspaces of variable dimension. (English) Zbl 1424.65063 Numer. Linear Algebra Appl. 24, No. 3, e2090, 13 p. (2017). Reviewer: Zhongxiao Jia (Beijing) MSC: 65F60 65F10 65F50 PDF BibTeX XML Cite \textit{H. D. Vo} and \textit{R. B. Sidje}, Numer. Linear Algebra Appl. 24, No. 3, e2090, 13 p. (2017; Zbl 1424.65063) Full Text: DOI
Hoang, N. S.; Sidje, Roger B. Functionally fitted Runge-Kutta-Nyström methods. (English) Zbl 1359.65114 BIT 56, No. 1, 129-150 (2016). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 65L06 65L05 65L20 65L60 34A34 PDF BibTeX XML Cite \textit{N. S. Hoang} and \textit{R. B. Sidje}, BIT 56, No. 1, 129--150 (2016; Zbl 1359.65114) Full Text: DOI
Sadkane, Miloud; Sidje, Roger B. Efficient computation of the spectral projections of regular matrix pairs. (English) Zbl 1332.65060 J. Comput. Appl. Math. 298, 72-81 (2016). MSC: 65F30 PDF BibTeX XML Cite \textit{M. Sadkane} and \textit{R. B. Sidje}, J. Comput. Appl. Math. 298, 72--81 (2016; Zbl 1332.65060) Full Text: DOI
Bertalan, Tom S.; Islam, Akand W.; Sidje, Roger B.; Carlson, Eric S. OpenMG: A new multigrid implementation in Python. (English) Zbl 1349.65116 Numer. Linear Algebra Appl. 21, No. 5, 685-700 (2014). MSC: 65F10 76S05 65N55 65Y15 PDF BibTeX XML Cite \textit{T. S. Bertalan} et al., Numer. Linear Algebra Appl. 21, No. 5, 685--700 (2014; Zbl 1349.65116) Full Text: DOI
Hoang, N. S.; Sidje, R. B. On the equivalence of the continuous Adams-Bashforth method and Nordsieck’s technique for changing the step size. (English) Zbl 1308.65120 Appl. Math. Lett. 26, No. 7, 725-728 (2013). MSC: 65L06 PDF BibTeX XML Cite \textit{N. S. Hoang} and \textit{R. B. Sidje}, Appl. Math. Lett. 26, No. 7, 725--728 (2013; Zbl 1308.65120) Full Text: DOI
Sidje, R. B. Inexact uniformization and GMRES methods for large Markov chains. (English) Zbl 1265.65011 Numer. Linear Algebra Appl. 18, No. 6, 947-960 (2011). MSC: 65C40 60J22 PDF BibTeX XML Cite \textit{R. B. Sidje}, Numer. Linear Algebra Appl. 18, No. 6, 947--960 (2011; Zbl 1265.65011) Full Text: DOI
Sidje, Roger B. On the simultaneous tridiagonalization of two symmetric matrices. (English) Zbl 1221.65107 Numer. Math. 118, No. 3, 549-566 (2011). MSC: 65F30 15A22 PDF BibTeX XML Cite \textit{R. B. Sidje}, Numer. Math. 118, No. 3, 549--566 (2011; Zbl 1221.65107) Full Text: DOI
Sidje, Roger B.; Saad, Yousef Rational approximation to the Fermi-Dirac function with applications in density functional theory. (English) Zbl 1211.65026 Numer. Algorithms 56, No. 3, 455-479 (2011). MSC: 65D20 81Q05 65F05 33E20 33F05 PDF BibTeX XML Cite \textit{R. B. Sidje} and \textit{Y. Saad}, Numer. Algorithms 56, No. 3, 455--479 (2011; Zbl 1211.65026) Full Text: DOI
Sidje, Roger B.; Winkles, Nathan Evaluation of the performance of inexact GMRES. (English) Zbl 1209.65040 J. Comput. Appl. Math. 235, No. 8, 1956-1975 (2011). MSC: 65F10 PDF BibTeX XML Cite \textit{R. B. Sidje} and \textit{N. Winkles}, J. Comput. Appl. Math. 235, No. 8, 1956--1975 (2011; Zbl 1209.65040) Full Text: DOI
Sheehan, Bernard N.; Saad, Yousef; Sidje, Roger B. Computing \(exp(-\tau A) b\) with Laguerre polynomials. (English) Zbl 1205.65165 ETNA, Electron. Trans. Numer. Anal. 37, 147-165 (2010). MSC: 65F50 65L05 41A10 PDF BibTeX XML Cite \textit{B. N. Sheehan} et al., ETNA, Electron. Trans. Numer. Anal. 37, 147--165 (2010; Zbl 1205.65165) Full Text: EMIS EuDML
Hoang, Nguyen S.; Sidje, Roger B. Functionally fitted explicit pseudo two-step Runge-Kutta methods. (English) Zbl 1158.65050 Appl. Numer. Math. 59, No. 1, 39-55 (2009). Reviewer: R. Militaru (Craiova) MSC: 65L06 34A34 65L20 65L70 65L50 PDF BibTeX XML Cite \textit{N. S. Hoang} and \textit{R. B. Sidje}, Appl. Numer. Math. 59, No. 1, 39--55 (2009; Zbl 1158.65050) Full Text: DOI
Macnamara, Shev; Burrage, Kevin; Sidje, Roger B. Multiscale modeling of chemical kinetics via the master equation. (English) Zbl 1153.60370 Multiscale Model. Simul. 6(2007), No. 4, 1146-1168 (2008). MSC: 60H35 65C40 65F10 PDF BibTeX XML Cite \textit{S. Macnamara} et al., Multiscale Model. Simul. 6, No. 4, 1146--1168 (2008; Zbl 1153.60370) Full Text: DOI
Sidje, Roger B.; Williams, Alan B.; Burrage, Kevin Fast generalized cross validation using Krylov subspace methods. (English) Zbl 1157.65012 Numer. Algorithms 47, No. 2, 109-131 (2008). Reviewer: Andrei Martínez Finkelshtein (Almeria) MSC: 65D10 65F10 PDF BibTeX XML Cite \textit{R. B. Sidje} et al., Numer. Algorithms 47, No. 2, 109--131 (2008; Zbl 1157.65012) Full Text: DOI
Hoang, Nguyen Si; Sidje, Roger B. On the stability of functionally fitted Runge-Kutta methods. (English) Zbl 1143.65066 BIT 48, No. 1, 61-77 (2008). MSC: 65L20 65L05 65L06 65L60 34A34 PDF BibTeX XML Cite \textit{N. S. Hoang} and \textit{R. B. Sidje}, BIT 48, No. 1, 61--77 (2008; Zbl 1143.65066) Full Text: DOI
Sidje, Roger B.; Hoang, Nguyen S. On the stability function of functionally fitted Runge-Kutta methods. (English) Zbl 1337.65078 ANZIAM J. 48C(2006-2010), Proc. 2006, C151-C167 (2007). MSC: 65L06 65L20 PDF BibTeX XML Cite \textit{R. B. Sidje} and \textit{N. S. Hoang}, ANZIAM J. 48C, C151--C167 (2007; Zbl 1337.65078) Full Text: Link
Sidje, Roger B.; Burrage, Kevin; Macnamara, Shev Inexact uniformization method for computing transient distributions of Markov chains. (English) Zbl 1154.65300 SIAM J. Sci. Comput. 29, No. 6, 2562-2580 (2007). MSC: 65C40 60J27 65F50 65F30 PDF BibTeX XML Cite \textit{R. B. Sidje} et al., SIAM J. Sci. Comput. 29, No. 6, 2562--2580 (2007; Zbl 1154.65300) Full Text: DOI
Nguyen, Hoang Si; Sidje, Roger B.; Cong, Nguyen Huu Analysis of trigonometric implicit Runge-Kutta methods. (English) Zbl 1106.65063 J. Comput. Appl. Math. 198, No. 1, 187-207 (2007). Reviewer: Neville Ford (Chester) MSC: 65L06 65L05 34A34 65L20 65L60 PDF BibTeX XML Cite \textit{H. S. Nguyen} et al., J. Comput. Appl. Math. 198, No. 1, 187--207 (2007; Zbl 1106.65063) Full Text: DOI
Hoang, Nguyen Si; Sidje, Roger B.; Cong, Nguyen Huu On functionally-fitted Runge-Kutta methods. (English) Zbl 1108.65076 BIT 46, No. 4, 861-874 (2006). Reviewer: John C. Butcher (Auckland) MSC: 65L06 65L05 65L60 65L20 34A34 PDF BibTeX XML Cite \textit{N. S. Hoang} et al., BIT 46, No. 4, 861--874 (2006; Zbl 1108.65076) Full Text: DOI
Sidje, Roger B.; Burrage, K. QRT: A QR-based tridiagonalization algorithm for nonsymmetric matrices. (English) Zbl 1081.65040 SIAM J. Matrix Anal. Appl. 26, No. 3, 878-900 (2005). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65F30 65F15 65F25 15A21 PDF BibTeX XML Cite \textit{R. B. Sidje} and \textit{K. Burrage}, SIAM J. Matrix Anal. Appl. 26, No. 3, 878--900 (2005; Zbl 1081.65040) Full Text: DOI
Sidje, Roger B.; Burrage, Kevin; Philippe, B. An augmented Lanczos algorithm for the efficient computation of a dot-product of a function of a large sparse symmetric matrix. (English) Zbl 1188.65061 Sloot, Peter M. A. (ed.) et al., Computational science – ICCS 2003. International conference, Melbourne, Australia and St. Petersburg, Russia, June 2–4, 2003. Proceedings, Part III. Berlin: Springer (ISBN 3-540-40196-2/pbk). Lecture Notes in Computer Science 2659, 693-704 (2003). MSC: 65F50 65F30 PDF BibTeX XML Cite \textit{R. B. Sidje} et al., Lect. Notes Comput. Sci. 2659, 693--704 (2003; Zbl 1188.65061) Full Text: DOI
Burrage, K. (ed.); Sidje, Roger B. (ed.) Proceedings of the tenth Biennial Computation Techniques and Applications Conference, CTAC-2001, held at the University of Queensland, Australia, 16–18 July 2001. (English) Zbl 1123.76306 ANZIAM J. 44C, Proc. 2001, C1-C867 (2003). MSC: 76-06 74-06 65-06 00B25 PDF BibTeX XML Cite \textit{K. Burrage} (ed.) and \textit{R. B. Sidje} (ed.), ANZIAM J. 44C, C1--C867 (2003; Zbl 1123.76306) Full Text: Link
Christen, Peter; Altas, Irfan; Hegland, Markus; Roberts, Stephen; Burrage, Kevin; Sidje, Roger Parallelization of a finite element surface fitting algorithm for data mining. (English) Zbl 0977.65012 ANZIAM J. 42C, C385-C399 (2000). MSC: 65D10 65Y05 68T10 65C60 62J05 PDF BibTeX XML Cite \textit{P. Christen} et al., ANZIAM J. 42C, C385--C399 (2000; Zbl 0977.65012)
Burrage, Kevin; Eldershaw, Craig; Sidje, Roger A parallel matrix-free implementation of a Runge-Kutta code. (English) Zbl 1193.65118 Cranny, Tim (ed.) et al., Joint Australian-Taiwanese workshop on analysis and applications, Brisbane, Australia, March 31–April 04, 1997. Canberra: Australian National University, Centre for Mathematics and its Applications (ISBN 0-7315-5201-6/pbk). Proceedings of the Centre for Mathematics and its Applications, Australian National University 37, 83-88 (1999). MSC: 65L06 PDF BibTeX XML Cite \textit{K. Burrage} et al., Proc. Cent. Math. Appl. Aust. Natl. Univ. 37, 83--88 (1999; Zbl 1193.65118)
Sadkane, Miloud; Sidje, Roger B. Implementation of a variable block Davidson method with deflation for solving large sparse eigenproblems. (English) Zbl 0940.65039 Numer. Algorithms 20, No. 2-3, 217-240 (1999). Reviewer: Myron Sussman (Bethel Park) MSC: 65F15 65F50 65Y15 65F35 PDF BibTeX XML Cite \textit{M. Sadkane} and \textit{R. B. Sidje}, Numer. Algorithms 20, No. 2--3, 217--240 (1999; Zbl 0940.65039) Full Text: DOI
Sidje, Roger B.; Stewart, William J. A numerical study of large sparse matrix exponentials arising in Markov chains. (English) Zbl 1042.65508 Comput. Stat. Data Anal. 29, No. 3, 345-368 (1999). MSC: 65C40 PDF BibTeX XML Cite \textit{R. B. Sidje} and \textit{W. J. Stewart}, Comput. Stat. Data Anal. 29, No. 3, 345--368 (1999; Zbl 1042.65508) Full Text: DOI
Sidje, Roger B. Expokit: A software package for computing matrix exponentials. (English) Zbl 0917.65063 ACM Trans. Math. Softw. 24, No. 1, 130-156 (1998). MSC: 65L05 34-04 65Y15 34A30 65F30 PDF BibTeX XML Cite \textit{R. B. Sidje}, ACM Trans. Math. Softw. 24, No. 1, 130--156 (1998; Zbl 0917.65063) Full Text: DOI
Sidje, R. B. Alternatives for parallel Krylov subspace basis computation. (English) Zbl 0889.65029 Numer. Linear Algebra Appl. 4, No. 4, 305-331 (1997). Reviewer: M.Rozložník (Praha) MSC: 65F10 65F25 65Y05 65F50 PDF BibTeX XML Cite \textit{R. B. Sidje}, Numer. Linear Algebra Appl. 4, No. 4, 305--331 (1997; Zbl 0889.65029) Full Text: DOI