Xie, Dexuan New solution decomposition and minimization schemes for Poisson-Boltzmann equation in calculation of biomolecular electrostatics. (English) Zbl 1349.78077 J. Comput. Phys. 275, 294-309 (2014). MSC: 78M10 78A30 65N30 92C40 PDFBibTeX XMLCite \textit{D. Xie}, J. Comput. Phys. 275, 294--309 (2014; Zbl 1349.78077) Full Text: DOI
Xie, Dexuan; Zarrouk, Mazen G. Convergence analysis of truncated incomplete Hessian Newton minimization method and application in biomolecular potential energy minimization. (English) Zbl 1219.90189 Comput. Optim. Appl. 48, No. 2, 213-232 (2011). MSC: 90C53 90C90 PDFBibTeX XMLCite \textit{D. Xie} and \textit{M. G. Zarrouk}, Comput. Optim. Appl. 48, No. 2, 213--232 (2011; Zbl 1219.90189) Full Text: DOI
Xie, Dexuan; Ni, Qin An incomplete Hessian Newton minimization method and its application in a chemical database problem. (English) Zbl 1181.90195 Comput. Optim. Appl. 44, No. 3, 467-485 (2009). MSC: 90C06 90C30 90C53 PDFBibTeX XMLCite \textit{D. Xie} and \textit{Q. Ni}, Comput. Optim. Appl. 44, No. 3, 467--485 (2009; Zbl 1181.90195) Full Text: DOI Link
Xie, Dexuan; Schlick, Tamar A more lenient stopping rule for line search algorithms. (English) Zbl 1040.90039 Optim. Methods Softw. 17, No. 4, 683-700 (2002). Reviewer: Francisco Guerra Vazquez (Puebla) MSC: 90C30 90C59 49M37 92E10 PDFBibTeX XMLCite \textit{D. Xie} and \textit{T. Schlick}, Optim. Methods Softw. 17, No. 4, 683--700 (2002; Zbl 1040.90039) Full Text: DOI
Xie, Dexuan; Schlick, Tamar Remark on algorithm 702. – The updated truncated Newton minimization package. (English) Zbl 0963.65064 ACM Trans. Math. Softw. 25, No. 1, 108-122 (1999). MSC: 65K05 90C30 90C53 PDFBibTeX XMLCite \textit{D. Xie} and \textit{T. Schlick}, ACM Trans. Math. Softw. 25, No. 1, 108--122 (1999; Zbl 0963.65064) Full Text: DOI
Xie, Dexuan; Schlick, Tamar Efficient implementation of the truncated-Newton algorithm for large-scale chemistry applications. (English) Zbl 0956.65049 SIAM J. Optim. 10, No. 1, 132-154 (1999). Reviewer: Hans Benker (Merseburg) MSC: 65K05 92E10 90C06 90C30 PDFBibTeX XMLCite \textit{D. Xie} and \textit{T. Schlick}, SIAM J. Optim. 10, No. 1, 132--154 (1999; Zbl 0956.65049) Full Text: DOI
Schlick, Tamar Modified Cholesky factorizations for sparse preconditioners. (English) Zbl 0771.65031 SIAM J. Sci. Comput. 14, No. 2, 424-445 (1993). Reviewer: F.Szidarovszky (Tucson) MSC: 65K05 90C30 65F10 90C06 PDFBibTeX XMLCite \textit{T. Schlick}, SIAM J. Sci. Comput. 14, No. 2, 424--445 (1993; Zbl 0771.65031) Full Text: DOI
Fauci, Lisa J.; Fogelson, Aaron L. Truncated Newton methods and the modeling of complex immersed elastic structures. (English) Zbl 0741.76103 Commun. Pure Appl. Math. 46, No. 6, 787-818 (1993). MSC: 76Z99 76D99 74F10 74L15 92C10 PDFBibTeX XMLCite \textit{L. J. Fauci} and \textit{A. L. Fogelson}, Commun. Pure Appl. Math. 46, No. 6, 787--818 (1992; Zbl 0741.76103) Full Text: DOI