-
1
-
-
84968468488
-
Solution of Vandermonde systems of linear equations
-
Björck A., Pereyra V. Solution of Vandermonde systems of linear equations. Math. Comput. 24:1970;893-903.
-
(1970)
Math. Comput.
, vol.24
, pp. 893-903
-
-
Björck, A.1
Pereyra, V.2
-
2
-
-
0001690926
-
Fast inversion of Vandermonde-like matrices involving orthogonal polynomials
-
Calvetti D., Reichel L. Fast inversion of Vandermonde-like matrices involving orthogonal polynomials. BIT. 33:1993;473-484.
-
(1993)
BIT
, vol.33
, pp. 473-484
-
-
Calvetti, D.1
Reichel, L.2
-
3
-
-
0012087153
-
Stability of methods of matrix inversion
-
Du Croz J., Higham N. Stability of methods of matrix inversion. IMA J. Numer. Ana. 13:1992;1-19.
-
(1992)
IMA J. Numer. Ana.
, vol.13
, pp. 1-19
-
-
Du Croz, J.1
Higham, N.2
-
5
-
-
0000835513
-
Lower bounds for the condition number of Vandermonde matrix
-
Gautschi W., Inglese G. Lower bounds for the condition number of Vandermonde matrix. Numer. Math. 52:1988;241-250.
-
(1988)
Numer. Math.
, vol.52
, pp. 241-250
-
-
Gautschi, W.1
Inglese, G.2
-
7
-
-
21144461298
-
Mixed, componentwise and structured condition numbers
-
Gohberg I., Koltracht I. Mixed, componentwise and structured condition numbers. SIAM J. Matrix Anal. Appl. 14:1993;688-704.
-
(1993)
SIAM J. Matrix Anal. Appl.
, vol.14
, pp. 688-704
-
-
Gohberg, I.1
Koltracht, I.2
-
8
-
-
0003044834
-
Linear complexity parallel algorithms for linear systems of equations with recursive structure
-
Gohberg I., Kailath T., Koltracht I., Lancaster P. Linear complexity parallel algorithms for linear systems of equations with recursive structure. Linear Algebra Appl. 88/89:1987;271-315.
-
(1987)
Linear Algebra Appl.
, vol.8889
, pp. 271-315
-
-
Gohberg, I.1
Kailath, T.2
Koltracht, I.3
Lancaster, P.4
-
10
-
-
84968505008
-
Fast Gaussian elimination with partial pivoting for matrices with displacement structure
-
Gohberg I., Kailath T., Olshevsky V. Fast Gaussian elimination with partial pivoting for matrices with displacement structure. Math. Comput. 64:1995;1557-1576.
-
(1995)
Math. Comput.
, vol.64
, pp. 1557-1576
-
-
Gohberg, I.1
Kailath, T.2
Olshevsky, V.3
-
11
-
-
21344478953
-
Fast inversion of Chebyshev-Vandermonde matrices
-
Gohberg I., Olshevsky V. Fast inversion of Chebyshev-Vandermonde matrices. Numer. Math. 67:1994;71-92.
-
(1994)
Numer. Math.
, vol.67
, pp. 71-92
-
-
Gohberg, I.1
Olshevsky, V.2
-
12
-
-
38149147254
-
Complexity of multiplication with vectors for structured matrices
-
Gohberg I., Olshevsky V. Complexity of multiplication with vectors for structured matrices. Linear Algebra Appl. 202:1994;163-192.
-
(1994)
Linear Algebra Appl.
, vol.202
, pp. 163-192
-
-
Gohberg, I.1
Olshevsky, V.2
-
13
-
-
0001926832
-
Fast state space algorithms for matrix Nehari and Nehari-Takagi interpolation problems
-
Gohberg I., Olshevsky V. Fast state space algorithms for matrix Nehari and Nehari-Takagi interpolation problems. Integral Equations Operator Theory. 20:1994;44-83.
-
(1994)
Integral Equations Operator Theory
, vol.20
, pp. 44-83
-
-
Gohberg, I.1
Olshevsky, V.2
-
14
-
-
0000376665
-
Fast algorithms with preprocessing for matrix-vector multiplication problems
-
Gohberg I., Olshevsky V. Fast algorithms with preprocessing for matrix-vector multiplication problems. Complexity. 10:1994.
-
(1994)
Complexity
, vol.10
-
-
Gohberg, I.1
Olshevsky, V.2
-
15
-
-
0001005483
-
Error analysis of the Björck-Pereyra algorithms for solving Vandermonde systems
-
Higham N. Error analysis of the Björck-Pereyra algorithms for solving Vandermonde systems. Numer. Math. 50:1987;613-632.
-
(1987)
Numer. Math.
, vol.50
, pp. 613-632
-
-
Higham, N.1
-
16
-
-
0001939091
-
Stability analysis of algorithms for solving confluent Vandermonde-like systems
-
Higham N. Stability analysis of algorithms for solving confluent Vandermonde-like systems. SIAM J. Matrix Anal. Appl. 11:1990;23-41.
-
(1990)
SIAM J. Matrix Anal. Appl.
, vol.11
, pp. 23-41
-
-
Higham, N.1
-
17
-
-
0002675246
-
Algebraic Methods for Toeplitz-like Matrices and Operators
-
Basel: Birkauser
-
Heinig G., Rost K. Algebraic Methods for Toeplitz-like Matrices and Operators. Operator Theory. 13:1984;Birkauser, Basel.
-
(1984)
Operator Theory
, vol.13
-
-
Heinig, G.1
Rost, K.2
-
18
-
-
0014637212
-
The inversion of the Vandermonde matrix and the transformation to the Jordan canonical form
-
Kaufman I. The inversion of the Vandermonde matrix and the transformation to the Jordan canonical form. IEEE Trans. Automatic Control. 14:1969;774-777.
-
(1969)
IEEE Trans. Automatic Control
, vol.14
, pp. 774-777
-
-
Kaufman, I.1
-
20
-
-
0017951648
-
Displacement ranks of matrices and linear equations
-
Kailath T., Kung S., Morf M. Displacement ranks of matrices and linear equations. J. Math. Anal. Appl. 68:1979;395-407.
-
(1979)
J. Math. Anal. Appl.
, vol.68
, pp. 395-407
-
-
Kailath, T.1
Kung, S.2
Morf, M.3
-
21
-
-
0009257037
-
Fast algorithms for generalized displacement structures
-
Proc. of the MTNS-91 Conference, 32, Mita Press, Japan
-
T. Kailath, A. H. Sayed, 1992, Fast algorithms for generalized displacement structures, Recent Advances in Mathematical Theory of Systems, Control, Networks and Signal Processing II, Proc. of the MTNS-91 Conference, 27, 32, Mita Press, Japan.
-
(1992)
Recent Advances in Mathematical Theory of Systems, Control, Networks and Signal Processing
, vol.2
, pp. 27
-
-
Kailath, T.1
Sayed, A.H.2
-
22
-
-
0000665794
-
Displacement structure: Theory and applications
-
Kailath T., Sayed A. H. Displacement structure: Theory and applications. SIAM Rev. 37:1995;297-386.
-
(1995)
SIAM Rev.
, vol.37
, pp. 297-386
-
-
Kailath, T.1
Sayed, A.H.2
-
23
-
-
85045586915
-
Displacement structure approach to polynomial Vandermonde and related matrices
-
Kailath T., Olshevsky V. Displacement structure approach to polynomial Vandermonde and related matrices. Linear Algebra Appl. 1994.
-
(1994)
Linear Algebra Appl.
-
-
Kailath, T.1
Olshevsky, V.2
-
24
-
-
0002301645
-
Displacement structure approach to Chebyshev-Vandermonde and related matrices
-
Kailath T., Olshevsky V. Displacement structure approach to Chebyshev-Vandermonde and related matrices. Integral Equations Operator Theory. 22:1995;65-92.
-
(1995)
Integral Equations Operator Theory
, vol.22
, pp. 65-92
-
-
Kailath, T.1
Olshevsky, V.2
-
25
-
-
0000736208
-
Triangular factorization of structured matrices
-
I. Gohberg I. Schur Methods in Operator Theory and Signal Processing. Basel: Birkhauser
-
Lev-Ari H., Kailath T. Triangular factorization of structured matrices. Gohberg I. I. Schur Methods in Operator Theory and Signal Processing. Operator Theory: Advances and Applications. 18:1986;Birkhauser, Basel.
-
(1986)
Operator Theory: Advances and Applications
, vol.18
-
-
Lev-Ari, H.1
Kailath, T.2
-
27
-
-
0012536950
-
Inverses of Vandermonde matrices
-
Parker F. Inverses of Vandermonde matrices. Amer. Math. Monthly. 71:1964;410-411.
-
(1964)
Amer. Math. Monthly
, vol.71
, pp. 410-411
-
-
Parker, F.1
-
28
-
-
0012089844
-
Newton interpolation at Leja points
-
Reichel L. Newton interpolation at Leja points. BIT. 30:1990;23-41.
-
(1990)
BIT
, vol.30
, pp. 23-41
-
-
Reichel, L.1
-
29
-
-
0012096423
-
Associated polynomials and uniform methods for the solution of linear problems
-
Traub J. Associated polynomials and uniform methods for the solution of linear problems. SIAM Rev. 8:1966;277-301.
-
(1966)
SIAM Rev.
, vol.8
, pp. 277-301
-
-
Traub, J.1
-
30
-
-
21344486577
-
How bad are Hankel matrices
-
Tyrtyshnikov E. How bad are Hankel matrices. Num. Math. 67:1994;261-269.
-
(1994)
Num. Math.
, vol.67
, pp. 261-269
-
-
Tyrtyshnikov, E.1
-
31
-
-
33947133548
-
On the numerical inversion of a recurrent problem: The Vandermonde matrix
-
Wertz H. J. On the numerical inversion of a recurrent problem: the Vandermonde matrix. IEEE Trans. Automatic Control. 10:1965;492.
-
(1965)
IEEE Trans. Automatic Control
, vol.10
, pp. 492
-
-
Wertz, H.J.1
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