Improvement of Convergence Property of Communication Avoiding Conjugate Gradient Method for Linear System Obtained from Meshless Approaches

Autor: Yoshihisa Fujita, Kuniyoshi Abe, Taku Itoh, Akira Matsumoto, Soichiro Ikuno

Publikováno v: Journal of Advanced Simulation in Science and Engineering. 6:43-55

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::309f3648cf19a69c17d54421e4e870e8
https://doi.org/10.15748/jasse.6.43

Converting BiCR method for linear equations with complex symmetric matrices

Autor: Seiji Fujino, Kuniyoshi Abe

Publikováno v: Applied Mathematics and Computation. 321:564-576

The Bi-Conjugate Gradient (BiCG) method for Symmetric Complex matrices (SCBiCG), which can be derived from BiCG, has been proposed for solving linear equations with complex symmetric matrices. However, an alternative method derived from the Bi-Conjug

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ec8b3114bd078193744b94db585d7b12
https://doi.org/10.1016/j.amc.2017.10.046

Hybrid enriched bidiagonalization for discrete ill-posed problems

Autor: Per Christian Hansen, Kuniyoshi Abe, Yiqiu Dong

Publikováno v: Hansen, P C, Dong, Y & Abe, K 2019, ' Hybrid enriched bidiagonalization for discrete ill-posed problems ', Numerical Linear Algebra with Applications, vol. 26, no. 3, e2230 . https://doi.org/10.1002/nla.2230

The regularizing properties of the Golub–Kahan bidiagonalization algorithm are powerful when the associated Krylov subspace captures the dominating components of the solution. In some applications the regularized solution can be further improved by

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8b5705b2f087386fb0b5a2891559a1b9
https://orbit.dtu.dk/en/publications/0c0c0d90-5b1a-4a89-878c-1ee82c1d245b

On Convergence Speed of Parallel Variants of BiCGSTAB for Solving Linear Equations

Autor: Kuniyoshi Abe

Publikováno v: Communications in Computer and Information Science ISBN: 9789811328527

A number of hybrid Bi-Conjugate Gradient (Bi-CG) methods such as the Bi-CG STABilized (BiCGSTAB) method have been developed for solving linear equations. BiCGSTAB has been most often used for efficiently solving the linear equations, but we have some

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::41119e08edb367d6c8f651475524a616
https://doi.org/10.1007/978-981-13-2853-4_31

Performance of Krylov Subspace Methods for Symmetric Matrices in Hybrid Parallelization

Autor: Kuniyoshi Abe, Seiji Fujino

Publikováno v: PDP

We deal with Krylov subspace methods such as the Conjugate Gradient (CG) method for solving linear equations with symmetric matrices on a parallel computer. The algorithm which has the less number of synchronization (abbreviated as synchro) points is

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a15ee33c3b27923dab1e028fdd64d4f2
https://doi.org/10.1109/pdp.2017.63