On Efficient Numerical Approximation of the Bilinear Form c* A(-1)b

0358802 - ÚI 2012 RIV US eng J - Článek v odborném periodiku
Strakoš, Z. - Tichý, Petr
On Efficient Numerical Approximation of the Bilinear Form c* A(-1)b.
SIAM Journal on Scientific Computing. Roč. 33, č. 2 (2011), s. 565-587. ISSN 1064-8275. E-ISSN 1095-7197
Grant CEP: GA AV ČR IAA100300802
Grant ostatní: GA ČR(CZ) GA201/09/0917; GA AV ČR(CZ) M100300901
Program: GA
Výzkumný záměr: CEZ:AV0Z10300504
Klíčová slova: bilinear forms * scattering amplitude * method of moments * Krylov subspace methods * conjugate gradient method * biconjugate gradient method * Lanczos algorithm * Arnoldi algorithm * Gauss-Christoffel quadrature * model reduction
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.569, rok: 2011

Citováno: 8

--- FIKA, P. - MITROULI, M. - ROUPA, P. ESTIMATES FOR THE BILINEAR FORM x(T)A(-1)y WITH APPLICATIONS TO LINEAR ALGEBRA PROBLEMS. ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS. ISSN 1068-9613, 2014, vol. 43, p. 70-89. [WOS]
--- DU, L. - FUTAMURA, Y. - SAKURAI, T. Block conjugate gradient type methods for the approximation of bilinear form C(H)A(-1)B. COMPUTERS & MATHEMATICS WITH APPLICATIONS. ISSN 0898-1221, JAN 2014, vol. 66, no. 12, p. 2446-2455. [WOS]
--- WU, G. - WEI, Y.M. - JIA, Z.G. - LING, S.T. - ZHANG, L. Towards backward perturbation bounds for approximate dual Krylov subspaces. BIT NUMERICAL MATHEMATICS. ISSN 0006-3835, MAR 2013, vol. 53, no. 1, p. 225-239. [WOS]
--- STATHOPOULOS, A. - LAEUCHLI, J. - ORGINOS, K. HIERARCHICAL PROBING FOR ESTIMATING THE TRACE OF THE MATRIX INVERSE ON TOROIDAL LATTICES. SIAM JOURNAL ON SCIENTIFIC COMPUTING. ISSN 1064-8275, 2013, vol. 35, no. 5, p. S299-S322. [WOS]
--- AHUJA, K. - DE STURLER, E. - GUGERCIN, S. - CHANG, E.R. RECYCLING BICG WITH AN APPLICATION TO MODEL REDUCTION. SIAM JOURNAL ON SCIENTIFIC COMPUTING. ISSN 1064-8275, 2012, vol. 34, no. 4, p. A1925-A1949. [WOS]
--- AHMAD, M.I. - SZYLD, D.B. - VAN GIJZEN, M.B. PRECONDITIONED MULTISHIFT BiCG FOR H-2-OPTIMAL MODEL REDUCTION. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS. ISSN 0895-4798, 2017, vol. 38, no. 2, p. 401-424. [WOS]
--- FIKA, P. - MITROULI, M. Estimation of the bilinear form y* f(A)x for Hermitian matrices. LINEAR ALGEBRA AND ITS APPLICATIONS. ISSN 0024-3795, AUG 1 2016, vol. 502, SI, p. 140-158. [WOS]
--- SCHWEITZER, M. A two-sided short-recurrence extended Krylov subspace method for nonsymmetric matrices and its relation to rational moment matching. NUMERICAL ALGORITHMS. ISSN 1017-1398, SEP 2017, vol. 76, no. 1, p. 1-31. [WOS]

Trvalý link: http://hdl.handle.net/11104/0196736