Search Results - "Abe, Kuniyoshi"

Converting BiCR method for linear equations with complex symmetric matrices by Abe, Kuniyoshi, Fujino, Seiji

“…The Bi-Conjugate Gradient (BiCG) method for Symmetric Complex matrices (SCBiCG), which can be derived from BiCG, has been proposed for solving linear equations…”
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Hybrid enriched bidiagonalization for discrete ill‐posed problems by Hansen, Per Christian, Dong, Yiqiu, Abe, Kuniyoshi

“…Summary The regularizing properties of the Golub–Kahan bidiagonalization algorithm are powerful when the associated Krylov subspace captures the dominating…”
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A variant of IDRstab with reliable update strategies for solving sparse linear systems by Aihara, Kensuke, Abe, Kuniyoshi, Ishiwata, Emiko

“…The IDRStab method is often more effective than the IDR(s) method and the BiCGstab(ℓ) method for solving large nonsymmetric linear systems. IDRStab can have a…”
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A quasi-minimal residual variant of IDRstab using the residual smoothing technique by Aihara, Kensuke, Abe, Kuniyoshi, Ishiwata, Emiko

“…Quasi-Minimal Residual (QMR)-type methods have been developed for improving the oscillations in the residual norms of the Bi-Conjugate Gradient (Bi-CG) method…”
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Variable Preconditioned Krylov Subspace Method With Communication Avoiding Technique for Electromagnetic Analysis by Ikuno, Soichiro, Gong Chen, Itoh, Taku, Nakata, Susumu, Abe, Kuniyoshi

“…The variable preconditioned (VP) Krylov subspace method with communication avoiding (CA) technique is adopted for the solver of a linear system obtained from…”
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Hybrid Bi-CG methods with a Bi-CG formulation closer to the IDR approach by Abe, Kuniyoshi, Sleijpen, Gerard L.G.

“…The Induced Dimension Reduction(s) (IDR(s)) method has recently been developed. Sleijpen et al. have reformulated the Bi-Conjugate Gradient STABilized…”
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Solving linear equations with a stabilized GPBiCG method by Abe, Kuniyoshi, Sleijpen, Gerard L.G.

“…Any residual polynomial of hybrid Bi-Conjugate Gradient (Bi-CG) methods, as Bi-CG STABilized (Bi-CGSTAB), BiCGstab(ℓ), Generalized Product-type Bi-CG (GPBiCG),…”
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A variant algorithm of the O rthomin( m) method for solving linear systems by Abe, Kuniyoshi, Zhang, Shao-Liang

“…We propose a variant of O rthomin( m) for solving linear systems A x = b . It is mathematically equivalent to the original O rthomin( m) method, but uses…”
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BiCR variants of the hybrid BiCG methods for solving linear systems with nonsymmetric matrices by Abe, Kuniyoshi, Sleijpen, Gerard L.G.

“…We propose Bi-Conjugate Residual (BiCR) variants of the hybrid Bi-Conjugate Gradient (BiCG) methods (referred to as the hybrid BiCR variants) for solving…”
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An extended G S method for dense linear systems by Niki, Hiroshi, Kohno, Toshiyuki, Abe, Kuniyoshi

“…Davey and Rosindale [K. Davey, I. Rosindale, An iterative solution scheme for systems of boundary element equations, Internat. J. Numer. Methods Engrg. 37…”
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A variable preconditioned GCR( m ) method using the GSOR method for singular and rectangular linear systems by Aoto, Daisuke, Ishiwata, Emiko, Abe, Kuniyoshi

“…The Generalized Conjugate Residual (GCR) method with a variable preconditioning is an efficient method for solving a large sparse linear system A x = b . It…”
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A variant algorithm of the ORTHOMiN(m) method for solving linear systems by ABE, Kuniyoshi, ZHANG, Shao-Liang

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An extended GS method for dense linear systems by NIKI, Hiroshi, KOHNO, Toshiyuki, ABE, Kuniyoshi

“…Davey and Rosindale [K. Davey, I. Rosindale, An iterative solution scheme for systems of boundary element equations, Internat. J. Numer. Methods Engrg. 37…”
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Performance of Krylov Subspace Methods for Symmetric Matrices in Hybrid Parallelization by Abe, Kuniyoshi, Fujino, Seiji

“…We deal with Krylov subspace methods such as the Conjugate Gradient (CG) method for solving linear equations with symmetric matrices on a parallel computer…”
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Variant Implementations of SCBiCG Method for Linear Equations with Complex Symmetric Matrices by Abe, Kuniyoshi, Fujino, Seiji

“…SCBiCG (Bi-Conjugate Gradient method for Symmetric Complex matrices) has been proposed for solving linear equations with complex symmetric matrices, where…”
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A Variant of the ORTHOMIN(2) Method for Singular Linear Systems by Abe, Kuniyoshi, Zhang, Shao-Liang, Mitsui, Taketomo, Jin, Cheng-Hai

“…For singular linear systems Ax=b, ORTHOMIN(2) is known theoretically to attain the minimum residual min x∈Rn‖b−Ax‖2 under a certain condition. However, in the…”
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Variable preconditioned Krylov subspace method with communication avoiding technique for electromagnetic analysis by Ikuno, Soichiro, Gong Chen, Itoh, Taku, Nakata, Susumu, Abe, Kuniyoshi

“…The Variable Preconditioned (VP) Krylov subspace method with communication avoiding (CA) technique is adopted for the solver of a linear system obtained from…”
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