-
2
-
-
0034343596
-
On a conjecture of E.A. Rakhmanov
-
Beckermann B.: On a conjecture of E. A. Rakhmanov. Constr. Approx. 16, 427-448 (2000).
-
(2000)
Constr. Approx.
, vol.16
, pp. 427-448
-
-
Beckermann, B.1
-
3
-
-
33750162548
-
Discrete orthogonal polynomials and superlinear convergence of Krylov subspace methods in numerical linear algebra
-
In: Marcellan, F., van Assche, W. (eds.), Lecture Notes in Mathematics, Springer, Berlin
-
Beckermann, B.: Discrete orthogonal polynomials and superlinear convergence of Krylov subspace methods in numerical linear algebra. In: Marcellan, F., van Assche, W. (eds.) Orthogonal Polynomials and Special Functions. Lecture Notes in Mathematics, vol. 1883, pp. 119-185. Springer, Berlin (2006).
-
(2006)
Orthogonal Polynomials and Special Functions
, vol.1883
, pp. 119-185
-
-
Beckermann, B.1
-
4
-
-
77957300827
-
Extremal rational functions on symmetric discrete sets and superlinear convergence of the ADI method
-
Beckermann B., Gryson A.: Extremal rational functions on symmetric discrete sets and superlinear convergence of the ADI method. Constr. Approx. 32, 393-428 (2010).
-
(2010)
Constr. Approx.
, vol.32
, pp. 393-428
-
-
Beckermann, B.1
Gryson, A.2
-
6
-
-
3042580768
-
On the sharpness of an asymptotic error estimate for conjugate gradients
-
Beckermann B., Kuijlaars A. B. J.: On the sharpness of an asymptotic error estimate for conjugate gradients. BIT 41, 856-867 (2001).
-
(2001)
Bit
, vol.41
, pp. 856-867
-
-
Beckermann, B.1
Kuijlaars, A.B.J.2
-
7
-
-
0035733975
-
Superlinear convergence of conjugate gradients
-
Beckermann B., Kuijlaars A. B. J.: Superlinear convergence of conjugate gradients. SIAM J. Numer. Anal. 39, 300-329 (2001).
-
(2001)
SIAM J. Numer. Anal.
, vol.39
, pp. 300-329
-
-
Beckermann, B.1
Kuijlaars, A.B.J.2
-
9
-
-
84904192266
-
Error estimation and evaluation of matrix functions via the Faber transform
-
Beckermann B., Reichel L.: Error estimation and evaluation of matrix functions via the Faber transform. SIAM J. Numer. Anal. 47, 3849-3883 (2009).
-
(2009)
SIAM J. Numer. Anal.
, vol.47
, pp. 3849-3883
-
-
Beckermann, B.1
Reichel, L.2
-
10
-
-
0003246658
-
Orthogonal rational functions
-
Cambridge University Press, Cambridge
-
Bultheel, A., González-Vera, P., Hendriksen, E., Njåstad, O.: Orthogonal rational functions. In: Cambridge Monographs on Applied and Computational Mathematics, vol. 5. Cambridge University Press, Cambridge (1999).
-
(1999)
Cambridge Monographs on Applied and Computational Mathematics
, vol.5
-
-
Bultheel, A.1
González-Vera, P.2
Hendriksen, E.3
Njåstad, O.4
-
11
-
-
0033241008
-
Families of equilibrium measures with external field on the real axis
-
Buyarov V., Rakhmanov E. A.: Families of equilibrium measures with external field on the real axis. Sb. Math. 190, 791-802 (1999).
-
(1999)
Sb. Math.
, vol.190
, pp. 791-802
-
-
Buyarov, V.1
Rakhmanov, E.A.2
-
12
-
-
0033472171
-
Iterative exponential filtering for large discrete ill-posed problems
-
Calvetti D., Reichel L., Zhang Q.: Iterative exponential filtering for large discrete ill-posed problems. Numer. Math. 83, 535-556 (1999).
-
(1999)
Numer. Math.
, vol.83
, pp. 535-556
-
-
Calvetti, D.1
Reichel, L.2
Zhang, Q.3
-
13
-
-
24144432907
-
A continuum limit of relativistic Toda lattice: asymptotic theory of discrete Laurent orthogonal polynomials with varying recurrence coefficients
-
Coussement J., van Assche W.: A continuum limit of relativistic Toda lattice: asymptotic theory of discrete Laurent orthogonal polynomials with varying recurrence coefficients. J. Phys. A 38, 3337-3366 (2005).
-
(2005)
J. Phys. A
, vol.38
, pp. 3337-3366
-
-
Coussement, J.1
van Assche, W.2
-
15
-
-
0000614428
-
Constrained energy problems with applications to orthogonal polynomials of a discrete variable
-
Dragnev P. D., Saff E. B.: Constrained energy problems with applications to orthogonal polynomials of a discrete variable. Journal d'Analyse Mathématique 72, 223-259 (1997).
-
(1997)
Journal D'analyse Mathématique
, vol.72
, pp. 223-259
-
-
Dragnev, P.D.1
Saff, E.B.2
-
16
-
-
0032163793
-
From potential theory to matrix iterations in six steps
-
Driscoll T. A., Toh K.-C., Trefethen L. N.: From potential theory to matrix iterations in six steps. SIAM Rev. 40, 547-578 (1998).
-
(1998)
SIAM Rev.
, vol.40
, pp. 547-578
-
-
Driscoll, T.A.1
Toh, K.-C.2
Trefethen, L.N.3
-
17
-
-
0000446481
-
Two polynomial methods of calculating functions of symmetric matrices
-
Druskin V., Knizhnerman L.: Two polynomial methods of calculating functions of symmetric matrices. USSR Comput. Maths. Math. Phys. 29, 112-121 (1989).
-
(1989)
USSR Comput. Maths. Math. Phys.
, vol.29
, pp. 112-121
-
-
Druskin, V.1
Knizhnerman, L.2
-
18
-
-
0032377092
-
Extended Krylov subspaces: approximation of the matrix square root and related functions
-
Druskin V., Knizhnerman L.: Extended Krylov subspaces: approximation of the matrix square root and related functions. SIAM J. Matrix Anal. Appl. 19, 775-778 (1998).
-
(1998)
SIAM J. Matrix Anal. Appl.
, vol.19
, pp. 775-778
-
-
Druskin, V.1
Knizhnerman, L.2
-
19
-
-
78149325330
-
On adaptive choice of shifts in rational Krylov subspace reduction of evolutionary problems
-
Druskin V., Lieberman C., Zaslavsky M.: On adaptive choice of shifts in rational Krylov subspace reduction of evolutionary problems. SIAM J. Sci. Comput. 32, 2485-2496 (2010).
-
(2010)
SIAM J. Sci. Comput.
, vol.32
, pp. 2485-2496
-
-
Druskin, V.1
Lieberman, C.2
Zaslavsky, M.3
-
21
-
-
0000269389
-
Efficient solution of parabolic equations by Krylov approximation methods
-
Gallopoulos E., Saad Y.: Efficient solution of parabolic equations by Krylov approximation methods. Numer. Linear Algebra Appl. 13, 1236-1264 (1992).
-
(1992)
Numer. Linear Algebra Appl.
, vol.13
, pp. 1236-1264
-
-
Gallopoulos, E.1
Saad, Y.2
-
22
-
-
0000002780
-
Predicting the behavior of finite precision Lanczos and conjugate gradient computations
-
Greenbaum A., Strakoš Z.: Predicting the behavior of finite precision Lanczos and conjugate gradient computations. SIAM J. Matrix Anal. Appl. 13, 121-137 (1992).
-
(1992)
SIAM J. Matrix Anal. Appl.
, vol.13
, pp. 121-137
-
-
Greenbaum, A.1
Strakoš, Z.2
-
25
-
-
84883463199
-
Automated parameter selection for rational Arnoldi approximation of Markov functions
-
to appear
-
Güttel, S., Knizhnerman, L.: Automated parameter selection for rational Arnoldi approximation of Markov functions. Proc. Appl. Math. Mech. (2011, to appear).
-
(2011)
Proc. Appl. Math. Mech.
-
-
Güttel, S.1
Knizhnerman, L.2
-
28
-
-
0000405592
-
On the eigenvalues of certain Hermitian forms
-
Kac M., Murdock W. L., Szego{double acute} G.: On the eigenvalues of certain Hermitian forms. Indiana Univ. Math. J. 2, 767-800 (1953).
-
(1953)
Indiana Univ. Math. J.
, vol.2
, pp. 767-800
-
-
Kac, M.1
Murdock, W.L.2
Szego, G.3
-
29
-
-
77954843781
-
A new investigation of the extended Krylov subspace method for matrix function evaluations
-
Knizhnerman L., Simoncini V.: A new investigation of the extended Krylov subspace method for matrix function evaluations. Numer. Linear Algebra Appl. 17, 615-638 (2010).
-
(2010)
Numer. Linear Algebra Appl.
, vol.17
, pp. 615-638
-
-
Knizhnerman, L.1
Simoncini, V.2
-
30
-
-
79958288318
-
Convergence analysis of the extended Krylov subspace method for the Lyapunov equation
-
Knizhnerman L., Simoncini V.: Convergence analysis of the extended Krylov subspace method for the Lyapunov equation. Numer. Math. 118, 567-586 (2011).
-
(2011)
Numer. Math.
, vol.118
, pp. 567-586
-
-
Knizhnerman, L.1
Simoncini, V.2
-
31
-
-
0034353662
-
Which eigenvalues are found by the Lanczos method?
-
Kuijlaars A. B. J.: Which eigenvalues are found by the Lanczos method?. SIAM J. Matrix Anal. Appl. 22, 306-321 (2000).
-
(2000)
SIAM J. Matrix Anal. Appl.
, vol.22
, pp. 306-321
-
-
Kuijlaars, A.B.J.1
-
32
-
-
33644583290
-
Convergence analysis of Krylov subspace iterations with methods from potential theory
-
Kuijlaars A. B. J.: Convergence analysis of Krylov subspace iterations with methods from potential theory. SIAM Rev. 48, 3-40 (2006).
-
(2006)
SIAM Rev.
, vol.48
, pp. 3-40
-
-
Kuijlaars, A.B.J.1
-
33
-
-
0000094594
-
An iteration method for the solution of the eigenvalue problem of linear differential and integral operators
-
Lanczos C.: An iteration method for the solution of the eigenvalue problem of linear differential and integral operators. J. Res. Nat. Bur. Standards 45, 225-280 (1950).
-
(1950)
J. Res. Nat. Bur. Standards
, vol.45
, pp. 225-280
-
-
Lanczos, C.1
-
34
-
-
33646773628
-
The Lanczos and conjugate gradient algorithms in finite precision arithmetic
-
Meurant G., Strakoš Z.: The Lanczos and conjugate gradient algorithms in finite precision arithmetic. Acta Numer. 15, 471-542 (2006).
-
(2006)
Acta Numer.
, vol.15
, pp. 471-542
-
-
Meurant, G.1
Strakoš, Z.2
-
35
-
-
0003357940
-
Rational approximations and orthogonality
-
Providence
-
Nikishin, E. M., Sorokin, V. N.: Rational approximations and orthogonality. Transl. Amer. Math. Soc., vol. 92, Providence (1991).
-
(1991)
Transl. Amer. Math. Soc.
, vol.92
-
-
Nikishin, E.M.1
Sorokin, V.N.2
-
37
-
-
0030305556
-
Equilibrium measure and the distribution of zeros on the extremal polynomials of a discrete variable
-
Rakhmanov E. A.: Equilibrium measure and the distribution of zeros on the extremal polynomials of a discrete variable. Sb. Math. 187, 1213-1228 (1996).
-
(1996)
Sb. Math.
, vol.187
, pp. 1213-1228
-
-
Rakhmanov, E.A.1
-
38
-
-
0001422598
-
Rational Krylov sequence methods for eigenvalue computation
-
Ruhe A.: Rational Krylov sequence methods for eigenvalue computation. Lin. Alg. Appl. 58, 391-405 (1984).
-
(1984)
Lin. Alg. Appl.
, vol.58
, pp. 391-405
-
-
Ruhe, A.1
-
39
-
-
0038880200
-
Rational Krylov algorithms for nonsymmetric eigenvalue problems
-
In: Golub, G. H., Greenbaum, A., Luskin, M. (eds.). IMA Volumes in Mathematics and its Applications. Springer, New York
-
Ruhe, A.: Rational Krylov algorithms for nonsymmetric eigenvalue problems. In: Golub, G. H., Greenbaum, A., Luskin, M. (eds.) Recent Advances in Iterative Methods. IMA Volumes in Mathematics and its Applications, pp. 149-164. Springer, New York (1994).
-
(1994)
Recent Advances in Iterative Methods
, pp. 149-164
-
-
Ruhe, A.1
-
40
-
-
0026818185
-
Analysis of some Krylov subspace approximations to the exponential operator
-
Saad Y.: Analysis of some Krylov subspace approximations to the exponential operator. SIAM J. Numer. Anal. 29, 209-228 (1992).
-
(1992)
SIAM J. Numer. Anal.
, vol.29
, pp. 209-228
-
-
Saad, Y.1
-
43
-
-
0003336252
-
Interpolation and Approximation by Rational Functions in the Complex Domain
-
5th edn, Providence
-
Walsh, J. L.: Interpolation and Approximation by Rational Functions in the Complex Domain, 5th edn. Amer. Math. Soc., Providence (1969).
-
(1969)
Amer. Math. Soc.
-
-
Walsh, J.L.1
|