Washio, Takumi; Cui, Xiaoke; Kanada, Ryo; Okada, Jun-ichi; Sugiura, Seiryo; Okuno, Yasushi; Takada, Shoji; Hisada, Toshiaki Using incomplete Cholesky factorization to increase the time step in molecular dynamics simulations. (English) Zbl 07567547 J. Comput. Appl. Math. 415, Article ID 114519, 12 p. (2022). MSC: 65Nxx 76Mxx 35Jxx PDF BibTeX XML Cite \textit{T. Washio} et al., J. Comput. Appl. Math. 415, Article ID 114519, 12 p. (2022; Zbl 07567547) Full Text: DOI OpenURL
Lourenco, Christopher J.; Moreno-Centeno, Erick Exactly solving sparse rational linear systems via roundoff-error-free Cholesky factorizations. (English) Zbl 07511017 SIAM J. Matrix Anal. Appl. 43, No. 1, 439-463 (2022). MSC: 65F50 65F05 65G50 PDF BibTeX XML Cite \textit{C. J. Lourenco} and \textit{E. Moreno-Centeno}, SIAM J. Matrix Anal. Appl. 43, No. 1, 439--463 (2022; Zbl 07511017) Full Text: DOI OpenURL
Farooq, Aamir; Samar, Mahvish Sensitivity analysis for the generalized Cholesky block downdating problem. (English) Zbl 1486.15008 Linear Multilinear Algebra 70, No. 6, 997-1022 (2022). MSC: 15A12 15A24 15A23 15A60 65F35 PDF BibTeX XML Cite \textit{A. Farooq} and \textit{M. Samar}, Linear Multilinear Algebra 70, No. 6, 997--1022 (2022; Zbl 1486.15008) Full Text: DOI OpenURL
Benner, Peter; Penke, Carolin Efficient and accurate algorithms for solving the Bethe-Salpeter eigenvalue problem for crystalline systems. (English) Zbl 1473.65044 J. Comput. Appl. Math. 400, Article ID 113650, 17 p. (2022). MSC: 65F15 PDF BibTeX XML Cite \textit{P. Benner} and \textit{C. Penke}, J. Comput. Appl. Math. 400, Article ID 113650, 17 p. (2022; Zbl 1473.65044) Full Text: DOI arXiv OpenURL
Bak, Kwan-Young; Kim, Kwang-Rae; Kim, Peter T.; Koo, Ja-Yong; Park, Changyi; Zhu, Hongtu Nonparametric matrix regression function estimation over symmetric positive definite matrices. (English) Zbl 1485.62066 J. Korean Stat. Soc. 50, No. 3, 795-817 (2021). MSC: 62H12 62G05 62G20 PDF BibTeX XML Cite \textit{K.-Y. Bak} et al., J. Korean Stat. Soc. 50, No. 3, 795--817 (2021; Zbl 1485.62066) Full Text: DOI OpenURL
Scott, Jennifer; Tůma, Miroslav Strengths and limitations of stretching for least-squares problems with some dense rows. (English) Zbl 07467961 ACM Trans. Math. Softw. 47, No. 1, Article No. 1, 25 p. (2021). MSC: 65-XX PDF BibTeX XML Cite \textit{J. Scott} and \textit{M. Tůma}, ACM Trans. Math. Softw. 47, No. 1, Article No. 1, 25 p. (2021; Zbl 07467961) Full Text: DOI OpenURL
Chen, Chao; Liang, Tianyu; Biros, George rchol: randomized Cholesky factorization for solving SDD linear systems. (English) Zbl 1480.65003 SIAM J. Sci. Comput. 43, No. 6, C411-C438 (2021). MSC: 65-04 65F08 65F50 15A23 65Y05 PDF BibTeX XML Cite \textit{C. Chen} et al., SIAM J. Sci. Comput. 43, No. 6, C411--C438 (2021; Zbl 1480.65003) Full Text: DOI arXiv OpenURL
Pumir, Thomas; Singer, Amit; Boumal, Nicolas The generalized orthogonal procrustes problem in the high noise regime. (English) Zbl 07446775 Inf. Inference 10, No. 3, 921-954 (2021). MSC: 62Hxx PDF BibTeX XML Cite \textit{T. Pumir} et al., Inf. Inference 10, No. 3, 921--954 (2021; Zbl 07446775) Full Text: DOI arXiv OpenURL
Irmak, Nurettin; Köme, Cahit Linear algebra of the Lucas matrix. (English) Zbl 07426802 Hacet. J. Math. Stat. 50, No. 2, 549-558 (2021). MSC: 15A23 15A09 15A42 11C20 PDF BibTeX XML Cite \textit{N. Irmak} and \textit{C. Köme}, Hacet. J. Math. Stat. 50, No. 2, 549--558 (2021; Zbl 07426802) Full Text: DOI OpenURL
Silva, Lino M.; Oliveira, Aurelio R. L. Modified controlled Cholesky factorization for preconditioning linear systems from the interior-point method. (English) Zbl 1476.90186 Comput. Appl. Math. 40, No. 4, Paper No. 154, 13 p. (2021). MSC: 90C05 90C51 65F08 15A23 PDF BibTeX XML Cite \textit{L. M. Silva} and \textit{A. R. L. Oliveira}, Comput. Appl. Math. 40, No. 4, Paper No. 154, 13 p. (2021; Zbl 1476.90186) Full Text: DOI OpenURL
Chen, Li; Zhou, Shuisheng; Ma, Jiajun; Xu, Mingliang Fast kernel \(k\)-means clustering using incomplete Cholesky factorization. (English) Zbl 07423573 Appl. Math. Comput. 402, Article ID 126037, 12 p. (2021). MSC: 68Txx 65Kxx PDF BibTeX XML Cite \textit{L. Chen} et al., Appl. Math. Comput. 402, Article ID 126037, 12 p. (2021; Zbl 07423573) Full Text: DOI arXiv OpenURL
Milyukova, O. Yu. MPI+OpenMP parallel implementation of conjugate gradient method with factored implicit preconditioners. (Russian. English summary) Zbl 1470.65056 Mat. Model. 33, No. 10, 19-38 (2021). MSC: 65F10 65F08 65F50 65Y05 PDF BibTeX XML Cite \textit{O. Yu. Milyukova}, Mat. Model. 33, No. 10, 19--38 (2021; Zbl 1470.65056) Full Text: DOI MNR OpenURL
Jacquelin, Mathias; Ng, Esmond G.; Peyton, Barry W. Fast implementation of the traveling-salesman-problem method for reordering columns within supernodes. (English) Zbl 1477.90118 SIAM J. Matrix Anal. Appl. 42, No. 3, 1337-1364 (2021). MSC: 90C35 90C27 05C50 65F05 PDF BibTeX XML Cite \textit{M. Jacquelin} et al., SIAM J. Matrix Anal. Appl. 42, No. 3, 1337--1364 (2021; Zbl 1477.90118) Full Text: DOI OpenURL
Schäfer, Florian; Katzfuss, Matthias; Owhadi, Houman Sparse Cholesky factorization by Kullback-Leibler minimization. (English) Zbl 07364386 SIAM J. Sci. Comput. 43, No. 3, A2019-A2046 (2021). MSC: 65F30 42C40 65F50 65N55 65N75 60G42 68W40 PDF BibTeX XML Cite \textit{F. Schäfer} et al., SIAM J. Sci. Comput. 43, No. 3, A2019--A2046 (2021; Zbl 07364386) Full Text: DOI arXiv OpenURL
Schäfer, Florian; Sullivan, T. J.; Owhadi, Houman Compression, inversion, and approximate PCA of dense kernel matrices at near-linear computational complexity. (English) Zbl 1461.65067 Multiscale Model. Simul. 19, No. 2, 688-730 (2021). MSC: 65F99 42C40 62H25 65F50 68Q25 68W40 PDF BibTeX XML Cite \textit{F. Schäfer} et al., Multiscale Model. Simul. 19, No. 2, 688--730 (2021; Zbl 1461.65067) Full Text: DOI arXiv OpenURL
Fialko, Sergiy Parallel finite element solver for multi-core computers with shared memory. (English) Zbl 07351728 Comput. Math. Appl. 94, 1-14 (2021). MSC: 74-XX 65-XX PDF BibTeX XML Cite \textit{S. Fialko}, Comput. Math. Appl. 94, 1--14 (2021; Zbl 07351728) Full Text: DOI OpenURL
Cao, Jian; Genton, Marc G.; Keyes, David E.; Turkiyyah, George M. Sum of Kronecker products representation and its Cholesky factorization for spatial covariance matrices from large grids. (English) Zbl 07345848 Comput. Stat. Data Anal. 157, Article ID 107165, 15 p. (2021). MSC: 62-XX PDF BibTeX XML Cite \textit{J. Cao} et al., Comput. Stat. Data Anal. 157, Article ID 107165, 15 p. (2021; Zbl 07345848) Full Text: DOI OpenURL
Lee, Kyoungjae; Lee, Jaeyong Estimating large precision matrices via modified Cholesky decomposition. (English) Zbl 1464.62294 Stat. Sin. 31, No. 1, 173-196 (2021). MSC: 62H12 15A23 PDF BibTeX XML Cite \textit{K. Lee} and \textit{J. Lee}, Stat. Sin. 31, No. 1, 173--196 (2021; Zbl 1464.62294) Full Text: DOI arXiv OpenURL
Higham, Nicholas J.; Pranesh, Srikara Exploiting lower precision arithmetic in solving symmetric positive definite linear systems and least squares problems. (English) Zbl 1467.65023 SIAM J. Sci. Comput. 43, No. 1, A258-A277 (2021). MSC: 65F05 65F08 65F35 65F10 PDF BibTeX XML Cite \textit{N. J. Higham} and \textit{S. Pranesh}, SIAM J. Sci. Comput. 43, No. 1, A258--A277 (2021; Zbl 1467.65023) Full Text: DOI OpenURL
Farooq, Aamir; Samar, Mahvish; Li, Hanyu; Mu, Chunlai Sensitivity analysis for the block Cholesky downdating problem. (English) Zbl 1483.65063 Int. J. Comput. Math. 97, No. 6, 1234-1253 (2020). MSC: 65F35 65F05 15A23 15A12 PDF BibTeX XML Cite \textit{A. Farooq} et al., Int. J. Comput. Math. 97, No. 6, 1234--1253 (2020; Zbl 1483.65063) Full Text: DOI OpenURL
Dalvand, Zeynab; Hajarian, Masoud Solving generalized inverse eigenvalue problems via L-BFGS-B method. (English) Zbl 1461.65053 Inverse Probl. Sci. Eng. 28, No. 12, 1719-1746 (2020). MSC: 65F18 15A18 15A29 PDF BibTeX XML Cite \textit{Z. Dalvand} and \textit{M. Hajarian}, Inverse Probl. Sci. Eng. 28, No. 12, 1719--1746 (2020; Zbl 1461.65053) Full Text: DOI OpenURL
Kim, Ik-Pyo Symmetric Bernoulli matrix and its Cholesky decomposition. (English) Zbl 1447.15009 Linear Algebra Appl. 603, 402-417 (2020). MSC: 15A23 11B68 65Q30 05A05 05B20 PDF BibTeX XML Cite \textit{I.-P. Kim}, Linear Algebra Appl. 603, 402--417 (2020; Zbl 1447.15009) Full Text: DOI OpenURL
Göllmann, Laurenz Linear algebra in the algebraic context. 2nd revised and expanded edition. (Lineare Algebra im algebraischen Kontext.) (German) Zbl 1437.15001 Lehrbuch. Berlin: Springer Spektrum (ISBN 978-3-662-61737-3/pbk; 978-3-662-61738-0/ebook). xiv, 611 p. (2020). MSC: 15-01 00A05 15A03 15A06 15A15 15A18 15A21 15A23 15A63 PDF BibTeX XML Cite \textit{L. Göllmann}, Lineare Algebra im algebraischen Kontext. 2nd revised and expanded edition. Berlin: Springer Spektrum (2020; Zbl 1437.15001) Full Text: DOI OpenURL
Heredia, Manolo Rodriguez; Oliveira, Aurelio Ribeiro Leite A new proposal to improve the early iterations in the interior point method. (English) Zbl 1442.90201 Ann. Oper. Res. 287, No. 1, 185-208 (2020). MSC: 90C51 PDF BibTeX XML Cite \textit{M. R. Heredia} and \textit{A. R. L. Oliveira}, Ann. Oper. Res. 287, No. 1, 185--208 (2020; Zbl 1442.90201) Full Text: DOI OpenURL
Fukaya, Takeshi; Kannan, Ramaseshan; Nakatsukasa, Yuji; Yamamoto, Yusaku; Yanagisawa, Yuka Shifted Cholesky QR for computing the QR factorization of ill-conditioned matrices. (English) Zbl 1434.65041 SIAM J. Sci. Comput. 42, No. 1, A477-A503 (2020). MSC: 65F22 15A23 65F15 15A18 65G50 PDF BibTeX XML Cite \textit{T. Fukaya} et al., SIAM J. Sci. Comput. 42, No. 1, A477--A503 (2020; Zbl 1434.65041) Full Text: DOI arXiv OpenURL
Kurzak, Jakub; Gates, Mark; Charara, Ali; Yarkhan, Asim; Yamazaki, Ichitaro; Dongarra, Jack Linear systems solvers for distributed-memory machines with GPU accelerators. (English) Zbl 1452.65002 Yahyapour, Ramin (ed.), Euro-Par 2019: parallel processing. 25th international conference on parallel and distributed computing, Göttingen, Germany, August 26–30, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11725, 495-506 (2019). MSC: 65-04 65F05 65Y05 65Y10 PDF BibTeX XML Cite \textit{J. Kurzak} et al., Lect. Notes Comput. Sci. 11725, 495--506 (2019; Zbl 1452.65002) Full Text: DOI OpenURL
Tomás, Andrés E.; Quintana-Ortí, Enrique S. Cholesky and Gram-Schmidt orthogonalization for tall-and-skinny QR factorizations on graphics processors. (English) Zbl 1452.65077 Yahyapour, Ramin (ed.), Euro-Par 2019: parallel processing. 25th international conference on parallel and distributed computing, Göttingen, Germany, August 26–30, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11725, 469-480 (2019). MSC: 65F25 65F05 65Y05 65Y10 PDF BibTeX XML Cite \textit{A. E. Tomás} and \textit{E. S. Quintana-Ortí}, Lect. Notes Comput. Sci. 11725, 469--480 (2019; Zbl 1452.65077) Full Text: DOI OpenURL
Kahalé, Nabil Efficient simulation of high dimensional Gaussian vectors. (English) Zbl 07179952 Math. Oper. Res. 44, No. 1, 58-73 (2019). MSC: 65C05 PDF BibTeX XML Cite \textit{N. Kahalé}, Math. Oper. Res. 44, No. 1, 58--73 (2019; Zbl 07179952) Full Text: DOI arXiv OpenURL
Samar, Mahvish; Farooq, Aamir; Li, Hanyu; Mu, Chunlai Sensitivity analysis for the generalized Cholesky factorization. (English) Zbl 1433.65026 Appl. Math. Comput. 362, Article ID 124556, 11 p. (2019). MSC: 65D20 15A15 15A16 65G20 65F05 15A23 15A45 PDF BibTeX XML Cite \textit{M. Samar} et al., Appl. Math. Comput. 362, Article ID 124556, 11 p. (2019; Zbl 1433.65026) Full Text: DOI OpenURL
Kılıç, Emrah; Arıkan, Talha A nonlinear generalization of the Filbert matrix and its Lucas analogue. (English) Zbl 1427.15036 Linear Multilinear Algebra 67, No. 1, 141-157 (2019). MSC: 15B36 11C20 11B39 15A09 15A23 05A30 PDF BibTeX XML Cite \textit{E. Kılıç} and \textit{T. Arıkan}, Linear Multilinear Algebra 67, No. 1, 141--157 (2019; Zbl 1427.15036) Full Text: DOI OpenURL
Farooq, Aamir; Samar, Mahvish; Li, Hanyu; Mu, Chunlai Improved rigorous multiplicative perturbation bounds for the generalized Cholesky factorization and the Cholesky-like factorization. (English) Zbl 1416.15013 Math. Inequal. Appl. 22, No. 1, 133-149 (2019). MSC: 15A23 15A45 PDF BibTeX XML Cite \textit{A. Farooq} et al., Math. Inequal. Appl. 22, No. 1, 133--149 (2019; Zbl 1416.15013) Full Text: DOI OpenURL
Sato, Hiroyuki; Aihara, Kensuke Cholesky QR-based retraction on the generalized Stiefel manifold. (English) Zbl 1414.90331 Comput. Optim. Appl. 72, No. 2, 293-308 (2019). MSC: 90C30 65K05 65F30 PDF BibTeX XML Cite \textit{H. Sato} and \textit{K. Aihara}, Comput. Optim. Appl. 72, No. 2, 293--308 (2019; Zbl 1414.90331) Full Text: DOI OpenURL
Phillips, Robert F. A numerical equivalence result for generalized method of moments. (English) Zbl 1418.62531 Econ. Lett. 179, 13-15 (2019). MSC: 62P20 62M10 62M20 PDF BibTeX XML Cite \textit{R. F. Phillips}, Econ. Lett. 179, 13--15 (2019; Zbl 1418.62531) Full Text: DOI OpenURL
Cooper, Joshua; Whitlatch, Hays Uniquely pressable graphs: characterization, enumeration, and recognition. (English) Zbl 1402.05098 Adv. Appl. Math. 103, 13-42 (2019). MSC: 05C25 05C30 05C50 05C75 05C76 05C85 15A23 15B33 68R10 92D20 PDF BibTeX XML Cite \textit{J. Cooper} and \textit{H. Whitlatch}, Adv. Appl. Math. 103, 13--42 (2019; Zbl 1402.05098) Full Text: DOI arXiv OpenURL
Pozza, S.; Strakoš, Z. Algebraic description of the finite Stieltjes moment problem. (English) Zbl 1404.44011 Linear Algebra Appl. 561, 207-227 (2019). MSC: 44A60 30B70 40A15 47B35 47B36 15B99 PDF BibTeX XML Cite \textit{S. Pozza} and \textit{Z. Strakoš}, Linear Algebra Appl. 561, 207--227 (2019; Zbl 1404.44011) Full Text: DOI OpenURL
Kolev, Vasil; Cooklev, Todor; Keinert, Fritz Matrix spectral factorization for SA4 multiwavelet. (English) Zbl 1448.65039 Multidimensional Syst. Signal Process. 29, No. 4, 1613-1641 (2018); correction ibid. 30, No. 3, 1633-1635 (2019). MSC: 65F99 42C40 65T60 PDF BibTeX XML Cite \textit{V. Kolev} et al., Multidimensional Syst. Signal Process. 29, No. 4, 1613--1641 (2018; Zbl 1448.65039) Full Text: DOI arXiv OpenURL
Morini, Benedetta On partial Cholesky factorization and a variant of quasi-Newton preconditioners for symmetric positive definite matrices. (English) Zbl 1432.90162 Axioms 7, No. 3, Paper No. 44, 14 p. (2018). MSC: 90C53 90C30 PDF BibTeX XML Cite \textit{B. Morini}, Axioms 7, No. 3, Paper No. 44, 14 p. (2018; Zbl 1432.90162) Full Text: DOI OpenURL
Scott, Jennifer; Tůma, Miroslav A Schur complement approach to preconditioning sparse linear least-squares problems with some dense rows. (English) Zbl 1406.65015 Numer. Algorithms 79, No. 4, 1147-1168 (2018). Reviewer: Adhemar Bultheel (Leuven) MSC: 65F05 65F10 65K05 65F50 65F08 65F20 PDF BibTeX XML Cite \textit{J. Scott} and \textit{M. Tůma}, Numer. Algorithms 79, No. 4, 1147--1168 (2018; Zbl 1406.65015) Full Text: DOI OpenURL
Gonzaga de Oliveira, Sanderson L.; Bernardes, J. A. B.; Chagas, G. O. An evaluation of reordering algorithms to reduce the computational cost of the incomplete Cholesky-conjugate gradient method. (English) Zbl 1416.65083 Comput. Appl. Math. 37, No. 3, 2965-3004 (2018). MSC: 65F10 65F50 PDF BibTeX XML Cite \textit{S. L. Gonzaga de Oliveira} et al., Comput. Appl. Math. 37, No. 3, 2965--3004 (2018; Zbl 1416.65083) Full Text: DOI OpenURL
Velazco, Marta; Oliveira, Aurelio R. L. Computing the splitting preconditioner for interior point method using an incomplete factorization approach. (English) Zbl 1397.90400 Kliewer, Natalia (ed.) et al., Operations research proceedings 2017. Selected papers of the annual international conference of the German Operations Research Society (GOR), Freie Universiät Berlin, Germany, September 6–8, 2017. Cham: Springer (ISBN 978-3-319-89919-0/pbk; 978-3-319-89920-6/ebook). Operations Research Proceedings, 97-103 (2018). MSC: 90C51 65K05 90C05 65F08 PDF BibTeX XML Cite \textit{M. Velazco} and \textit{A. R. L. Oliveira}, Oper. Res. Proc. 2017, 97--103 (2018; Zbl 1397.90400) Full Text: DOI OpenURL
Adiceam, Faustin; Zorin, Evgeniy On the minimum of a positive definite quadratic form over non-zero lattice points. Theory and applications. (English. French summary) Zbl 1441.11175 J. Math. Pures Appl. (9) 118, 1-43 (2018). Reviewer: Alar Leibak (Tallinn) MSC: 11H55 11H06 94A15 11Z05 15A23 PDF BibTeX XML Cite \textit{F. Adiceam} and \textit{E. Zorin}, J. Math. Pures Appl. (9) 118, 1--43 (2018; Zbl 1441.11175) Full Text: DOI arXiv Link OpenURL
García-Ardila, Juan Carlos; Garza, Luis E.; Marcellán, Francisco A canonical Geronimus transformation for matrix orthogonal polynomials. (English) Zbl 1391.42031 Linear Multilinear Algebra 66, No. 2, 357-381 (2018). Reviewer: Marcel G. de Bruin (Heemstede) MSC: 42C05 15A23 PDF BibTeX XML Cite \textit{J. C. García-Ardila} et al., Linear Multilinear Algebra 66, No. 2, 357--381 (2018; Zbl 1391.42031) Full Text: DOI OpenURL
Li, Hanyu Structured condition numbers for some matrix factorizations of structured matrices. (English) Zbl 1382.65122 J. Comput. Appl. Math. 336, 219-234 (2018). MSC: 65F35 65F05 PDF BibTeX XML Cite \textit{H. Li}, J. Comput. Appl. Math. 336, 219--234 (2018; Zbl 1382.65122) Full Text: DOI OpenURL
Kim, Ik-Pyo; Kräuter, Arnold R. Decompositions of a matrix by means of its dual matrices with applications. (English) Zbl 1376.15022 Linear Algebra Appl. 537, 100-117 (2018). MSC: 15B05 15A23 65F05 41A05 PDF BibTeX XML Cite \textit{I.-P. Kim} and \textit{A. R. Kräuter}, Linear Algebra Appl. 537, 100--117 (2018; Zbl 1376.15022) Full Text: DOI OpenURL
Aliaga, José I.; Carratalá-Sáez, Rocío; Quintana-Ortí, Enrique S. Parallel solution of hierarchical symmetric positive definite linear systems. (English) Zbl 1376.65029 Appl. Math. Nonlinear Sci. 2, No. 1, 201-212 (2017). MSC: 65F05 65Y05 65Y20 PDF BibTeX XML Cite \textit{J. I. Aliaga} et al., Appl. Math. Nonlinear Sci. 2, No. 1, 201--212 (2017; Zbl 1376.65029) Full Text: DOI OpenURL
Escobedo, Adolfo R.; Moreno-Centeno, Erick Roundoff-error-free basis updates of LU factorizations for the efficient validation of optimality certificates. (English) Zbl 1373.65018 SIAM J. Matrix Anal. Appl. 38, No. 3, 829-853 (2017). MSC: 65F05 65K05 90C05 90C11 65G50 PDF BibTeX XML Cite \textit{A. R. Escobedo} and \textit{E. Moreno-Centeno}, SIAM J. Matrix Anal. Appl. 38, No. 3, 829--853 (2017; Zbl 1373.65018) Full Text: DOI OpenURL
Göllmann, Laurenz Lineare algebra in the algebraic context. (Lineare Algebra im algebraischen Kontext.) (German) Zbl 1382.15001 Springer-Lehrbuch. Berlin: Springer Spektrum (ISBN 978-3-662-54342-9/pbk; 978-3-662-54343-6/ebook). xii, 570 p. (2017). Reviewer: Frank Uhlig (Auburn) MSC: 15-01 00A05 15A03 15A06 15A15 15A18 15A21 15A23 15A63 PDF BibTeX XML Cite \textit{L. Göllmann}, Lineare Algebra im algebraischen Kontext. Berlin: Springer Spektrum (2017; Zbl 1382.15001) Full Text: DOI OpenURL
Said-Houari, Belkacem Linear algebra. (English) Zbl 1381.15001 Compact Textbooks in Mathematics. Cham: Birkhäuser/Springer (ISBN 978-3-319-63792-1/pbk; 978-3-319-63793-8/ebook). xiii, 384 p. (2017). Reviewer: Mihail Voicu (Iaşi) MSC: 15-01 15A03 15A04 15A06 15A09 15A15 15A18 15A21 15A23 15B10 15A30 65F05 15A63 PDF BibTeX XML Cite \textit{B. Said-Houari}, Linear algebra. Cham: Birkhäuser/Springer (2017; Zbl 1381.15001) Full Text: DOI OpenURL
Haider, Khawaja Shafiq; Ghafoor, Abdul; Imran, Muhammad; Malik, Fahad Mumtaz Model reduction of large scale descriptor systems using time limited Gramians. (English) Zbl 1366.93090 Asian J. Control 19, No. 3, 1217-1227 (2017). MSC: 93B11 93A15 93C05 15A23 PDF BibTeX XML Cite \textit{K. S. Haider} et al., Asian J. Control 19, No. 3, 1217--1227 (2017; Zbl 1366.93090) Full Text: DOI OpenURL
Modin, Klas Geometry of matrix decompositions seen through optimal transport and information geometry. (English) Zbl 1368.15010 J. Geom. Mech. 9, No. 3, 335-390 (2017). MSC: 15A23 53C21 58B20 65F20 PDF BibTeX XML Cite \textit{K. Modin}, J. Geom. Mech. 9, No. 3, 335--390 (2017; Zbl 1368.15010) Full Text: DOI arXiv OpenURL
Pirova, Anna; Meyerov, Iosif; Kozinov, Evgeniy; Lebedev, Sergey PMORSy: parallel sparse matrix ordering software for fill-in minimization. (English) Zbl 1365.65132 Optim. Methods Softw. 32, No. 2, 274-289 (2017). MSC: 65F50 65Y05 65Y10 65Y15 PDF BibTeX XML Cite \textit{A. Pirova} et al., Optim. Methods Softw. 32, No. 2, 274--289 (2017; Zbl 1365.65132) Full Text: DOI OpenURL
Wang, Wei-Guo; Wei, Yimin Mixed and componentwise condition numbers for matrix decompositions. (English) Zbl 1375.65048 Theor. Comput. Sci. 681, 199-216 (2017). MSC: 65F05 15A23 65F35 PDF BibTeX XML Cite \textit{W.-G. Wang} and \textit{Y. Wei}, Theor. Comput. Sci. 681, 199--216 (2017; Zbl 1375.65048) Full Text: DOI OpenURL
Stanisławski, Rafał; Rydel, Marek; Latawiec, Krzysztof J. Modeling of discrete-time fractional-order state space systems using the balanced truncation method. (English) Zbl 1364.93438 J. Franklin Inst. 354, No. 7, 3008-3020 (2017). MSC: 93C55 93C05 26A33 15A18 15A23 93B05 93B07 PDF BibTeX XML Cite \textit{R. Stanisławski} et al., J. Franklin Inst. 354, No. 7, 3008--3020 (2017; Zbl 1364.93438) Full Text: DOI OpenURL
Hou, Thomas Y.; Li, Qin; Zhang, Pengchuan A sparse decomposition of low rank symmetric positive semidefinite matrices. (English) Zbl 1386.65127 Multiscale Model. Simul. 15, No. 1, 410-444 (2017). MSC: 65F50 15B48 PDF BibTeX XML Cite \textit{T. Y. Hou} et al., Multiscale Model. Simul. 15, No. 1, 410--444 (2017; Zbl 1386.65127) Full Text: DOI arXiv OpenURL
Kılıç, Emrah; Prodinger, Helmut The generalized Lilbert matrix. (English) Zbl 1389.11045 Period. Math. Hung. 73, No. 1, 62-72 (2016). Reviewer: Krassimir Atanassov (Sofia) MSC: 11B39 15B05 15A23 PDF BibTeX XML Cite \textit{E. Kılıç} and \textit{H. Prodinger}, Period. Math. Hung. 73, No. 1, 62--72 (2016; Zbl 1389.11045) Full Text: DOI OpenURL
García-Ardila, Juan Carlos; Garza, Luis E.; Marcellán, Francisco An extension of the Geronimus transformation for orthogonal matrix polynomials on the real line. (English) Zbl 1352.42036 Mediterr. J. Math. 13, No. 6, 5009-5032 (2016). MSC: 42C05 15A23 PDF BibTeX XML Cite \textit{J. C. García-Ardila} et al., Mediterr. J. Math. 13, No. 6, 5009--5032 (2016; Zbl 1352.42036) Full Text: DOI OpenURL
Bornemann, Folkmar Numerical linear algebra. A concise introduction with MATLAB and Julia. (Numerische lineare Algebra. Eine konzise Einführung mit MATLAB und Julia.) (German) Zbl 1362.65030 Springer Studium Mathematik – Bachelor. Wiesbaden: Springer Spektrum (ISBN 978-3-658-12883-8/pbk; 978-3-658-12884-5/ebook). x, 145 p. (2016). Reviewer: Michael Jung (Dresden) MSC: 65Fxx 65-01 65Y15 PDF BibTeX XML Cite \textit{F. Bornemann}, Numerische lineare Algebra. Eine konzise Einführung mit MATLAB und Julia. Wiesbaden: Springer Spektrum (2016; Zbl 1362.65030) Full Text: DOI OpenURL
Scholz, Daniel Numerical analysis interactive. Understanding the basics, exploring models and applying methods with taramath. (Numerik interaktiv. Grundlagen verstehen, Modelle erforschen und Verfahren anwenden mit taramath.) (German) Zbl 1358.65002 Heidelberg: Springer Spektrum (ISBN 978-3-662-52939-3/pbk; 978-3-662-52940-9/ebook). xiv, 252 p. (2016). Reviewer: Michael Jung (Dresden) MSC: 65-01 97N10 00A06 68N15 65Fxx 65H10 65D05 65D32 65L05 65L06 65L10 65L12 65L60 65T50 PDF BibTeX XML Cite \textit{D. Scholz}, Numerik interaktiv. Grundlagen verstehen, Modelle erforschen und Verfahren anwenden mit taramath. Heidelberg: Springer Spektrum (2016; Zbl 1358.65002) Full Text: DOI OpenURL
Ariznabarreta, Gerardo; Mañas, Manuel Multivariate orthogonal polynomials and integrable systems. (English) Zbl 1350.15002 Adv. Math. 302, 628-739 (2016). MSC: 15A23 42C05 65F05 37K10 37L60 46L55 PDF BibTeX XML Cite \textit{G. Ariznabarreta} and \textit{M. Mañas}, Adv. Math. 302, 628--739 (2016; Zbl 1350.15002) Full Text: DOI arXiv OpenURL
Higham, Nicholas J.; Strabić, Nataša Bounds for the distance to the nearest correlation matrix. (English) Zbl 1347.65075 SIAM J. Matrix Anal. Appl. 37, No. 3, 1088-1102 (2016). MSC: 65F30 62H20 15B48 PDF BibTeX XML Cite \textit{N. J. Higham} and \textit{N. Strabić}, SIAM J. Matrix Anal. Appl. 37, No. 3, 1088--1102 (2016; Zbl 1347.65075) Full Text: DOI OpenURL
Ledoan, Andrew Explicit formulas for the distribution of complex zeros of a family of random sums. (English) Zbl 1381.60086 J. Math. Anal. Appl. 444, No. 2, 1304-1320 (2016). MSC: 60G50 PDF BibTeX XML Cite \textit{A. Ledoan}, J. Math. Anal. Appl. 444, No. 2, 1304--1320 (2016; Zbl 1381.60086) Full Text: DOI OpenURL
Davis, Timothy A.; Rajamanickam, Sivasankaran; Sid-Lakhdar, Wissam M. A survey of direct methods for sparse linear systems. (English) Zbl 1346.65011 Acta Numerica 25, 383-566 (2016). Reviewer: Liu Xinguo (Qingdao) MSC: 65F05 65F50 65-02 65Y05 68W30 PDF BibTeX XML Cite \textit{T. A. Davis} et al., Acta Numerica 25, 383--566 (2016; Zbl 1346.65011) Full Text: DOI Link OpenURL
Abdelfattah, A.; Anzt, H.; Dongarra, J.; Gates, M.; Haidar, A.; Kurzak, J.; Luszczek, P.; Tomov, S.; Yamazaki, I.; YarKhan, A. Linear algebra software for large-scale accelerated multicore computing. (English) Zbl 1353.65019 Acta Numerica 25, 1-160 (2016). Reviewer: Raffaella Pavani (Milano) MSC: 65F05 65Y15 65F15 65F20 65F50 PDF BibTeX XML Cite \textit{A. Abdelfattah} et al., Acta Numerica 25, 1--160 (2016; Zbl 1353.65019) Full Text: DOI OpenURL
Mészáros, Csaba Exploiting hardware capabilities in interior point methods. (English) Zbl 1382.90115 Optim. Methods Softw. 31, No. 2, 435-443 (2016). MSC: 90C51 65K05 65Y05 65Y10 90C05 PDF BibTeX XML Cite \textit{C. Mészáros}, Optim. Methods Softw. 31, No. 2, 435--443 (2016; Zbl 1382.90115) Full Text: DOI OpenURL
Domes, Ferenc; Neumaier, Arnold Linear and parabolic relaxations for quadratic constraints. (English) Zbl 1351.90131 J. Glob. Optim. 65, No. 3, 457-486 (2016). MSC: 90C26 90C20 65F30 65G20 PDF BibTeX XML Cite \textit{F. Domes} and \textit{A. Neumaier}, J. Glob. Optim. 65, No. 3, 457--486 (2016; Zbl 1351.90131) Full Text: DOI OpenURL
Cantero, M. J.; Marcellán, F.; Moral, L.; Velázquez, L. Darboux transformations for CMV matrices. (English) Zbl 1345.42029 Adv. Math. 298, 122-206 (2016). Reviewer: Teresa A. Mesquita (Vila Nova de Famalicão) MSC: 42C05 47B36 15A23 PDF BibTeX XML Cite \textit{M. J. Cantero} et al., Adv. Math. 298, 122--206 (2016; Zbl 1345.42029) Full Text: DOI arXiv OpenURL
Li, Hanyu; Wei, Yimin; Yang, Yanfei New rigorous perturbation bounds for the Cholesky-like factorization of skew-symmetric matrix. (English) Zbl 1330.15015 Linear Algebra Appl. 491, 83-100 (2016). MSC: 15A23 15A45 PDF BibTeX XML Cite \textit{H. Li} et al., Linear Algebra Appl. 491, 83--100 (2016; Zbl 1330.15015) Full Text: DOI OpenURL
Faustmann, Markus; Melenk, Jens Markus; Praetorius, Dirk Existence of \(\mathcal{H}\)-matrix approximants to the inverses of BEM matrices: the simple-layer operator. (English) Zbl 1327.65253 Math. Comput. 85, No. 297, 119-152 (2016). MSC: 65N38 35J05 65F05 PDF BibTeX XML Cite \textit{M. Faustmann} et al., Math. Comput. 85, No. 297, 119--152 (2016; Zbl 1327.65253) Full Text: DOI arXiv OpenURL
Kardani, Omid; Lyamin, Andrei; Krabbenhøft, Kristian Application of a GPU-accelerated hybrid preconditioned conjugate gradient approach for large 3D problems in computational geomechanics. (English) Zbl 1443.65045 Comput. Math. Appl. 69, No. 10, 1114-1131 (2015). MSC: 65F10 65F08 65K05 65K10 65Y10 86-08 PDF BibTeX XML Cite \textit{O. Kardani} et al., Comput. Math. Appl. 69, No. 10, 1114--1131 (2015; Zbl 1443.65045) Full Text: DOI OpenURL
Akkus, Ilker The Lehmer matrix with recursive factorial entries. (English) Zbl 1463.15078 Kuwait J. Sci. 42, No. 2, 34-41 (2015). MSC: 15B99 15A15 15A09 15A23 11C20 PDF BibTeX XML Cite \textit{I. Akkus}, Kuwait J. Sci. 42, No. 2, 34--41 (2015; Zbl 1463.15078) Full Text: Link OpenURL
Alvand, M. Stochastic averaging for SDEs with Hopf drift and polynomial diffusion coefficients. (English) Zbl 1412.34148 J. Linear Topol. Algebra 4, No. 2, 101-114 (2015). MSC: 34C29 60H10 60H35 15A23 PDF BibTeX XML Cite \textit{M. Alvand}, J. Linear Topol. Algebra 4, No. 2, 101--114 (2015; Zbl 1412.34148) Full Text: Link OpenURL
Li, Hanyu; Yang, Yanfei New rigorous perturbation bounds for the generalized Cholesky factorization. (English) Zbl 1390.15044 Appl. Math. Comput. 259, 668-675 (2015). MSC: 15A23 65F05 PDF BibTeX XML Cite \textit{H. Li} and \textit{Y. Yang}, Appl. Math. Comput. 259, 668--675 (2015; Zbl 1390.15044) Full Text: DOI arXiv OpenURL
Krause, Oswin; Igel, Christian A more efficient rank-one covariance matrix update for evolution strategies. (English) Zbl 1360.62273 Proceedings of the 13th ACM SIGEVO workshop on foundations of genetic algorithms, FOGA 2015, Aberystwyth, UK, January 17–20, 2015. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-3434-1). 129-136 (2015). MSC: 62H12 65F05 68T05 68T20 68W20 PDF BibTeX XML Cite \textit{O. Krause} and \textit{C. Igel}, in: Proceedings of the 13th ACM SIGEVO workshop on foundations of genetic algorithms, FOGA 2015, Aberystwyth, UK, January 17--20, 2015. New York, NY: Association for Computing Machinery (ACM). 129--136 (2015; Zbl 1360.62273) Full Text: DOI OpenURL
Deng, Yong Investigation on the inverse problem for the generalized Lehmer matrix. (Chinese. English summary) Zbl 1363.15030 J. Cent. China Norm. Univ., Nat. Sci. 49, No. 6, 827-830 (2015). MSC: 15A29 15A09 65F05 15A23 PDF BibTeX XML Cite \textit{Y. Deng}, J. Cent. China Norm. Univ., Nat. Sci. 49, No. 6, 827--830 (2015; Zbl 1363.15030) OpenURL
Li, Haiyan; Huang, Yunbao; Jiang, Shaoen; Jing, Longfei; Ding, Yongkun An efficient computational approach for evaluating radiation flux for laser driven inertial confinement fusion targets. (English) Zbl 1344.82013 Comput. Phys. Commun. 193, 49-54 (2015). MSC: 82-08 82D75 PDF BibTeX XML Cite \textit{H. Li} et al., Comput. Phys. Commun. 193, 49--54 (2015; Zbl 1344.82013) Full Text: DOI OpenURL
Pan, Pingqi On “An efficient implementation of the face algorithm for linear programming”. (English) Zbl 1349.90609 Oper. Res. Trans. 19, No. 3, 78-84 (2015). MSC: 90C05 PDF BibTeX XML Cite \textit{P. Pan}, Oper. Res. Trans. 19, No. 3, 78--84 (2015; Zbl 1349.90609) Full Text: DOI OpenURL
Escobedo, Adolfo R.; Moreno-Centeno, Erick Roundoff-error-free algorithms for solving linear systems via Cholesky and LU factorizations. (English) Zbl 1337.65025 INFORMS J. Comput. 27, No. 4, 677-689 (2015). MSC: 65F05 65G50 65Y20 PDF BibTeX XML Cite \textit{A. R. Escobedo} and \textit{E. Moreno-Centeno}, INFORMS J. Comput. 27, No. 4, 677--689 (2015; Zbl 1337.65025) Full Text: DOI Link OpenURL
Harbrecht, Helmut; Peters, Michael; Siebenmorgen, Markus Efficient approximation of random fields for numerical applications. (English) Zbl 1349.65048 Numer. Linear Algebra Appl. 22, No. 4, 596-617 (2015). Reviewer: Alan L. Andrew (Bundoora) MSC: 65C50 65F15 60G60 65N75 15A23 PDF BibTeX XML Cite \textit{H. Harbrecht} et al., Numer. Linear Algebra Appl. 22, No. 4, 596--617 (2015; Zbl 1349.65048) Full Text: DOI Link OpenURL
Yamamoto, Yusaku; Nakatsukasa, Yuji; Yanagisawa, Yuka; Fukaya, Takeshi Roundoff error analysis of the CholeskyQR2 algorithm. (English) Zbl 1330.65049 ETNA, Electron. Trans. Numer. Anal. 44, 306-326 (2015). MSC: 65F05 65F35 65G50 15A23 PDF BibTeX XML Cite \textit{Y. Yamamoto} et al., ETNA, Electron. Trans. Numer. Anal. 44, 306--326 (2015; Zbl 1330.65049) Full Text: EMIS OpenURL
Krishtal, Ilya; Strohmer, Thomas; Wertz, Tim Localization of matrix factorizations. (English) Zbl 1341.15012 Found. Comput. Math. 15, No. 4, 931-951 (2015). Reviewer: Tin Yau Tam (Auburn) MSC: 15A23 15A30 15A60 65F05 15B48 15B57 PDF BibTeX XML Cite \textit{I. Krishtal} et al., Found. Comput. Math. 15, No. 4, 931--951 (2015; Zbl 1341.15012) Full Text: DOI arXiv OpenURL
Alvand, Mohammad Constructing an SDE from its two-point generator. (English) Zbl 1334.60099 Stoch. Dyn. 15, No. 4, Article ID 1550025, 22 p. (2015). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 60H10 37H10 60B10 15A23 PDF BibTeX XML Cite \textit{M. Alvand}, Stoch. Dyn. 15, No. 4, Article ID 1550025, 22 p. (2015; Zbl 1334.60099) Full Text: DOI OpenURL
Jayanth Karthik, N.; Chandrasekaran, E.; Sattanathan, R. Solving symmetric fully fuzzy linear systems with trapezoidal fuzzy number matrices. (English) Zbl 1328.65073 J. Comb. Math. Comb. Comput. 92, 265-274 (2015). MSC: 65F05 15B15 PDF BibTeX XML Cite \textit{N. Jayanth Karthik} et al., J. Comb. Math. Comb. Comput. 92, 265--274 (2015; Zbl 1328.65073) OpenURL
Cheng, Tzu-Chang F.; Ing, Ching-Kang; Yu, Shu-Hui Toward optimal model averaging in regression models with time series errors. (English) Zbl 1337.62250 J. Econom. 189, No. 2, 321-334 (2015). MSC: 62M10 62J05 62M20 PDF BibTeX XML Cite \textit{T.-C. F. Cheng} et al., J. Econom. 189, No. 2, 321--334 (2015; Zbl 1337.62250) Full Text: DOI arXiv OpenURL
Van Loan, Charles F.; Vokt, Joseph P. Approximating matrices with multiple symmetries. (English) Zbl 1319.65032 SIAM J. Matrix Anal. Appl. 36, No. 3, 974-993 (2015). MSC: 65F30 65F05 15A69 15B57 PDF BibTeX XML Cite \textit{C. F. Van Loan} and \textit{J. P. Vokt}, SIAM J. Matrix Anal. Appl. 36, No. 3, 974--993 (2015; Zbl 1319.65032) Full Text: DOI arXiv OpenURL
Rozložník, M.; Okulicka-Dłużewska, F.; Smoktunowicz, A. Cholesky-like factorization of symmetric indefinite matrices and orthogonalization with respect to bilinear forms. (English) Zbl 1317.65105 SIAM J. Matrix Anal. Appl. 36, No. 2, 727-751 (2015). MSC: 65F25 65F05 65F35 65G50 PDF BibTeX XML Cite \textit{M. Rozložník} et al., SIAM J. Matrix Anal. Appl. 36, No. 2, 727--751 (2015; Zbl 1317.65105) Full Text: DOI Link OpenURL
Modin, Klas Generalized Hunter-Saxton equations, optimal information transport, and factorization of diffeomorphisms. (English) Zbl 1330.58009 J. Geom. Anal. 25, No. 2, 1306-1334 (2015). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 58D05 58D15 35Q31 53C21 58B20 94A17 65F99 PDF BibTeX XML Cite \textit{K. Modin}, J. Geom. Anal. 25, No. 2, 1306--1334 (2015; Zbl 1330.58009) Full Text: DOI arXiv OpenURL
Cheng, Tzu-Chang F.; Ing, Ching-Kang; Yu, Shu-Hui Inverse moment bounds for sample autocovariance matrices based on detrended time series and their applications. (English) Zbl 1312.15050 Linear Algebra Appl. 473, 180-201 (2015). MSC: 15B52 15A09 62M10 PDF BibTeX XML Cite \textit{T.-C. F. Cheng} et al., Linear Algebra Appl. 473, 180--201 (2015; Zbl 1312.15050) Full Text: DOI OpenURL
Cantó, Rafael; Peláez, María J.; Urbano, Ana M. Full rank Cholesky factorization for rank deficient matrices. (English) Zbl 1325.15008 Appl. Math. Lett. 40, 17-22 (2015). MSC: 15A23 65F05 PDF BibTeX XML Cite \textit{R. Cantó} et al., Appl. Math. Lett. 40, 17--22 (2015; Zbl 1325.15008) Full Text: DOI OpenURL
Li, Liang; Huang, Ting-Zhu; Jing, Yan-Fei; Ren, Zhi-Gang Effective preconditioning through minimum degree ordering interleaved with incomplete factorization. (English) Zbl 1310.65035 J. Comput. Appl. Math. 279, 225-232 (2015). MSC: 65F08 65F10 PDF BibTeX XML Cite \textit{L. Li} et al., J. Comput. Appl. Math. 279, 225--232 (2015; Zbl 1310.65035) Full Text: DOI OpenURL
Meister, Andreas [Vömel, C.] Numerics of linear systems of equations. An introduction to modern methods. With MATLAB-implementations by C. Vömel. 5th revised ed. (Numerik linearer Gleichungssysteme. Eine Einführung in moderne Verfahren. Mit MATLAB-Implementierungen von C. Vömel.) (German) Zbl 1310.65001 Heidelberg: Springer Spektrum (ISBN 978-3-658-07199-8/pbk; 978-3-658-07200-1/ebook). xii, 276 p. (2015). MSC: 65-01 65F10 65F05 65N06 65N55 65F35 35J05 PDF BibTeX XML Cite \textit{A. Meister}, Numerik linearer Gleichungssysteme. Eine Einführung in moderne Verfahren. Mit MATLAB-Implementierungen von C. Vömel. 5th revised ed. Heidelberg: Springer Spektrum (2015; Zbl 1310.65001) Full Text: DOI OpenURL
Abu-Saman, Awni M.; El-Okur, Shady Sayed Divide-and-conquer strategy with Cholesky’s factorization for inverting symmetric positive definite matrices. (English) Zbl 1413.65039 Int. Electron. J. Pure Appl. Math. 7, No. 2, 53-62 (2014). MSC: 65F05 15A23 PDF BibTeX XML Cite \textit{A. M. Abu-Saman} and \textit{S. S. El-Okur}, Int. Electron. J. Pure Appl. Math. 7, No. 2, 53--62 (2014; Zbl 1413.65039) Full Text: DOI OpenURL
Wang, Wei-guo; Wei, Yimin Mixed and componentwise condition numbers for matrix decompositions. (English) Zbl 1345.65025 Watt, Stephen M. (ed.) et al., Proceedings of the 2014 symposium on symbolic-numeric computation, SNC 2014, Shanghai, China, July 28–31, 2014. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-2963-7). 31-32 (2014). MSC: 65F30 15A23 65F35 68W30 PDF BibTeX XML Cite \textit{W.-g. Wang} and \textit{Y. Wei}, in: Proceedings of the 2014 symposium on symbolic-numeric computation, SNC 2014, Shanghai, China, July 28--31, 2014. New York, NY: Association for Computing Machinery (ACM). 31--32 (2014; Zbl 1345.65025) Full Text: DOI OpenURL
Khoromskaia, V.; Khoromskij, B. N. Møller-Plesset (MP2) energy correction using tensor factorization of the grid-based two-electron integrals. (English) Zbl 1344.65035 Comput. Phys. Commun. 185, No. 1, 2-10 (2014). MSC: 65D30 81V70 81V55 PDF BibTeX XML Cite \textit{V. Khoromskaia} and \textit{B. N. Khoromskij}, Comput. Phys. Commun. 185, No. 1, 2--10 (2014; Zbl 1344.65035) Full Text: DOI OpenURL
Scott, Jennifer; Tůma, Miroslav On signed incomplete Cholesky factorization preconditioners for saddle-point systems. (English) Zbl 1310.65036 SIAM J. Sci. Comput. 36, No. 6, A2984-A3010 (2014). MSC: 65F08 65F05 65F50 PDF BibTeX XML Cite \textit{J. Scott} and \textit{M. Tůma}, SIAM J. Sci. Comput. 36, No. 6, A2984--A3010 (2014; Zbl 1310.65036) Full Text: DOI Link OpenURL
Yanagisawa, Yuka; Ogita, Takeshi; Oishi, Shin’ichi Convergence analysis of an algorithm for accurate inverse Cholesky factorization. (English) Zbl 1309.65032 Japan J. Ind. Appl. Math. 31, No. 3, 461-482 (2014). MSC: 65F05 65F08 65F10 65F22 PDF BibTeX XML Cite \textit{Y. Yanagisawa} et al., Japan J. Ind. Appl. Math. 31, No. 3, 461--482 (2014; Zbl 1309.65032) Full Text: DOI OpenURL
Li, Hanyu; Yang, Yanfei Rigorous multiplicative perturbation bounds for the generalized Cholesky factorization and the Cholesky-like factorization. (English) Zbl 1317.15013 J. Math. Inequal. 8, No. 4, 925-937 (2014). Reviewer: Raffaella Pavani (Milano) MSC: 15A23 65F05 15A45 PDF BibTeX XML Cite \textit{H. Li} and \textit{Y. Yang}, J. Math. Inequal. 8, No. 4, 925--937 (2014; Zbl 1317.15013) Full Text: DOI arXiv Link OpenURL
Derevyagin, Maxim; Marcellán, Francisco A note on the Geronimus transformation and Sobolev orthogonal polynomials. (English) Zbl 1306.42043 Numer. Algorithms 67, No. 2, 271-287 (2014). Reviewer: Teresa A. Mesquita (Vila Nova de Famalicão) MSC: 42C05 15A23 PDF BibTeX XML Cite \textit{M. Derevyagin} and \textit{F. Marcellán}, Numer. Algorithms 67, No. 2, 271--287 (2014; Zbl 1306.42043) Full Text: DOI arXiv Link OpenURL
Rump, Siegfried M.; Jeannerod, Claude-Pierre Improved backward error bounds for LU and Cholesky factorizations. (English) Zbl 1309.65031 SIAM J. Matrix Anal. Appl. 35, No. 2, 684-698 (2014). Reviewer: Liu Xinguo (Qingdao) MSC: 65F05 65G50 PDF BibTeX XML Cite \textit{S. M. Rump} and \textit{C.-P. Jeannerod}, SIAM J. Matrix Anal. Appl. 35, No. 2, 684--698 (2014; Zbl 1309.65031) Full Text: DOI Link OpenURL
Luce, Robert; Ng, Esmond G. On the minimum FLOPs problem in the sparse Cholesky factorization. (English) Zbl 1298.65047 SIAM J. Matrix Anal. Appl. 35, No. 1, 1-21 (2014). Reviewer: Constantin Popa (Constanţa) MSC: 65F05 65F50 68Q17 65Y20 PDF BibTeX XML Cite \textit{R. Luce} and \textit{E. G. Ng}, SIAM J. Matrix Anal. Appl. 35, No. 1, 1--21 (2014; Zbl 1298.65047) Full Text: DOI arXiv OpenURL
Scott, Jennifer; Tuma, Miroslav On positive semidefinite modification schemes for incomplete Cholesky factorization. (English) Zbl 1298.65049 SIAM J. Sci. Comput. 36, No. 2, 609-633 (2014). Reviewer: Constantin Popa (Constanţa) MSC: 65F05 65F50 PDF BibTeX XML Cite \textit{J. Scott} and \textit{M. Tuma}, SIAM J. Sci. Comput. 36, No. 2, 609--633 (2014; Zbl 1298.65049) Full Text: DOI Link OpenURL