CORS swMATH ID: 6493 Software Authors: Carpentieri, B.; Jing, Y.-F.; Huang, T.-Z. Description: The BiCOR and CORS iterative algorithms for solving nonsymmetric linear systems The paper describes the theoretical background and computational aspects of two iterative algorithms for solving real nonsymmetric and complex non-Hermetian linear systems. These algorithms are developed from variants of the nonsymmetric Lanczos method. The convergence properties of these two methods are then analyzed using a large number of numerical experiments. The paper also includes a comparison of the two methods under examination with other common iterative algorithms for solving nonsymmetic linear systems. Homepage: http://dl.acm.org/citation.cfm?id=2079184 Keywords: Krylov subspace methods; nonsymmetric Lanczos method; sparse and dense matrix computation; iterative algorithms; real nonsymmetric and complex non-Hermetian linear systems; numerical experiments; comparison of methods Related Software: BiCOR; SparseMatrix; CGS; GpBiCg; BiCGstab; ILUT; CSparse; Algorithm 913; MINRES-QLP; MINRES; Matlab; LYAPACK; TensorToolbox; Regularization tools; Harwell-Boeing sparse matrix collection; GitHub; ABLE; na1 Cited in: 16 Documents Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year The BiCOR and CORS iterative algorithms for solving nonsymmetric linear systems. Zbl 1251.65045Carpentieri, B.; Jing, Y.-F.; Huang, T.-Z. 2011 all top 5 Cited by 28 Authors 7 Huang, Ting-Zhu 6 Jing, Yanfei 5 Carpentieri, Bruno 3 Dai, Hua 3 Zhang, Jianhua 2 Gu, Xian-Ming 1 Azizizadeh, Najmeh 1 Chen, Qi-Xing 1 Deng, Liangjian 1 Duan, Yong 1 Hajarian, Masoud 1 Huang, Guang-Xin 1 Li, Houbiao 1 Li, Liang 1 Li, Tao 1 Ma, Changfeng 1 Meng, Jing 1 Ou, Yigui 1 Saberi Movahed, Farid 1 Sun, Dong-Lin 1 Tajaddini, Azita 1 Wen, Chun 1 Wu, Gang 1 Yan, Tongxin 1 Yin, Feng 1 Yuan, Pei 1 Zhang, Xinfang 1 Zhao, Liang all top 5 Cited in 12 Serials 3 Computers & Mathematics with Applications 2 Applied Mathematics and Computation 2 Journal of Computational and Applied Mathematics 1 Journal of Computational Physics 1 Linear and Multilinear Algebra 1 Journal of Scientific Computing 1 Numerical Algorithms 1 Applied Mathematical Modelling 1 SIAM Journal on Scientific Computing 1 Numerical Linear Algebra with Applications 1 Journal of Applied Mathematics 1 Journal of Applied Analysis and Computation Cited in 4 Fields 16 Numerical analysis (65-XX) 7 Linear and multilinear algebra; matrix theory (15-XX) 1 Partial differential equations (35-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year