[8]95j:65042Bakhvalov, Nikolai S.; Knyazev, Andrew V. Preconditioned iterative methods in a subspace for linear algebraic equations with large jumps in the coefficients.
Domain decomposition methods in scientific and engineering computing (University Park, PA, 1993),
157--162, Contemp. Math., 180,Amer. Math. Soc., Providence, RI, 1994. 65F35 (65F10)
[10]95e:65113Bakhvalov, N. S.; Knyazev, A. V.
Fictitious domain methods and computation of homogenized properties of composites
with a periodic structure of essentially different components. Numerical methods and applications,
221--266, CRC, Boca Raton, FL, 1994. (Reviewer: Luis Trabucho) 65N55 (35B27 65N99 73B27 73V20)
[15]93c:35006Bakhvalov, N. S.; Knyazev, A. V.
Methods for the effective computation of averaged characteristics of composites
of periodic structure consisting of essentially different materials. (Russian)
Computational processes and systems, No. 8 (Russian),
52--94, "Nauka", Moscow, 1991. (Reviewer: Alexander Belyaev) 35B27 (35J55 65N55 73B27)
[21]92d:65005Knyazev, A. V. {\cyr Vychislenie sobstvennykh znacheni\u\i i vektorov v setochnykh zadachakh: algoritmy i otsenki pogreshnosti}.
(Russian) [Calculation of eigenvalues and eigenvectors in difference problems: algorithms and error estimates] Akad. Nauk SSSR, Otdel Vychisl. Mat., Moscow, 1986. 188 pp. (Reviewer: C. Ilioi) 65-02 (49R05 65F15 65F50 65J10)
[22]91a:65083Knyazev, A. V.; Skorokhodov, A. L.
{\cyr Modifitsirovannye iteratsionnye metody v podprostranstve dlya resheniya
sistem uravneni\u\i so znakoneopredelennymi matritsami i spektral\cprime
nykh zadach}. (Russian) [Modified iterative methods in a subspace for solving
systems of equations, with matrices without fixed sign, and spectral problems]
{\cyr Preprint} [Preprint], 205.Akad. Nauk SSSR, Otdel Vychisl. Mat., Moscow, 1988. 48 pp. (Reviewer: Zden\v ek Dostál) 65F10 (65F15)
[23]90m:65070Knyazev, A. V. A parallel algorithm for iterations of a subspace and its implementation on a computer with ring architecture.
(Russian) Numerical methods and mathematical modeling (Russian),
115--123, Akad. Nauk SSSR, Otdel Vychisl. Mat., Moscow, 1987. (Reviewer: Zden\v ek Dostál) 65F10 (65-04 65F15 65W05)
[25]90h:65101Knyazev, A. V. Modified gradient methods and their block analogues for the problems $Mu=\lambda Lu,\;M=M\sp *,\;L=L\sp *>0$.
(Russian) Computer architecture and numerical methods (Russian),
19--32, Akad. Nauk SSSR, Otdel Vychisl. Mat., Moscow, 1985. (Reviewer: Zuhe Shen) 65J10 (65F10)
[26]90e:15002Khorn, R.; Dzhonson, Ch. {\cyr Matrichny\u\i analiz}.
(Russian) [Matrix analysis] Translated from the English by Kh. D. Ikramov, A. V. Knyazev and E. E. Tyrtyshnikov.
Translation edited and with a foreword by Ikramov.
``Mir'', Moscow, 1989. 656 pp. ISBN: 5-03-001042-4 15-01
[29]89j:65030Gregori, R.; Krishnamurti, E. {\cyr Bezoshibochnye vychisleniya}.
(Russian) [Error-free calculations] {\cyr Metody i prilozheniya.} [Methods and applications]
Translated from the English by Kh. D. Ikramov and A. V. Knyazev.
Translation edited and with a foreword by Ikramov.
``Mir'', Moscow, 1988. 208 pp. ISBN: 5-03-001145-5 65Fxx (65-04 65G05 68U99)
[30]89d:65040Knyazev, A. V. Methods for the derivation of some estimates in a symmetric eigenvalue problem.
(Russian) Computational processes and systems, No. 5 (Russian),
164--173, "Nauka", Moscow, 1987. (Reviewer: K. Veseli\'c) 65F15 (49G10)
[31]89b:65094Knyazev, A. V.; Lebedev, V. I.
Estimates for convergence and analysis of the optimality of iterative methods
for the simultaneous computation of several eigenvectors. (Russian) Computational methods in linear algebra (Russian) (Moscow, 1982),
94--114, Akad. Nauk SSSR, Otdel Vychisl. Mat., Moscow, 1983. (Reviewer: Zden\v ek Dostál) 65F15
[33]88i:47004Knyazev, A. V. The Kato-Temple block algorithm for the estimation of eigenvalues: justification and application.
(Russian) Conjugate equations and perturbation theory in problems of mathematical physics (Russian),
127--135, Akad. Nauk SSSR, Otdel Vychisl. Mat., Moscow, 1985. (Reviewer: A. V. Dzhishkariani) 47A50 (49G10 65J10)
[34]88f:65245Lebedev, V. I.; Bakhvalov, N. S.; Agoshkov, V. I.; Baburin, O. V.; Knyazev, A. V.; Shutyaev, V. P. {\cyr Parallel\cprime nye algoritmy resheniya nekotorykh statsionarnykh zadach matematichesko\u\i fiziki}.
(Russian) [Parallel algorithms for solving some stationary problems of mathematical physics] With a preface by G. I. Marchuk.
Akad. Nauk SSSR, Otdel Vychisl. Mat., Moscow, 1984. 143 pp. (Reviewer: Marián Vajter\v sic) 65W05 (65F10)
[36]87h:65068Knyazev, A. V. Sharp a priori error estimates for the Rayleigh-Ritz method with no assumptions on fixed sign or compactness.
(Russian) Mat. Zametki 38 (1985), no. 6, 900--907, 958. (Reviewer: C. Ilioi) 65F15
[40]1 109 101Knyazev, A. V. A preconditioned conjugate gradient method for eigenvalue problems and its implementation in a subspace.
Numerical treatment of eigenvalue problems, Vol. 5 (Oberwolfach, 1990),
143--154, Internat. Ser. Numer. Math., 96,Birkhäuser, Basel, 1991. 65F15 (65N25)
[41]1 106 462Bakhvalov, N. S.; Knyazev, A. V.; Kobel\cprime kov, G. M. Iterative methods for solving equations with highly varying coefficients.
Fourth International Symposium on Domain Decomposition Methods for Partial Differential Equations (Moscow, 1990),
197--205, SIAM, Philadelphia, PA, 1991. 65N55
[42]999 596Knyazev, A. V.
An error estimate for the approximation by the Rayleigh-Ritz method to the
invariant subspace that corresponds to nearby eigenvalues. (Russian) Computer architecture and numerical methods (Russian),
16--18, Akad. Nauk SSSR, Otdel Vychisl. Mat., Moscow, 1985. 65J10 (65F15)
[43]994 807Knyazev, A. V. {\cyr O nekotorykh dvukhstupenchatykh metodakh nakhozhdeniya granits spektra line\u\i nogo puchka matrits}.
(Russian) [Some two-step methods for finding the boundaries of the spectrum of a linear matrix pencil] {\cyr Preprint} [Preprint], 3749/16.Inst. Atomn. Energii, Moscow, 1983. 29 pp. 65F15
[45]938 324Knyazev, A. V.
Sharp a priori error estimates of inequality type in the Rayleigh-Ritz method
for symmetric spectral problems without assumptions on sign-definiteness
or compactness. (Russian) Methods of numerical and applied mathematics (Russian),
74--88, Akad. Nauk SSSR, Vychisl. Tsentr, Moscow, 1985. 49G10 (65J10)
