-
1
-
-
0041953000
-
Diskrete Verfahren zur Berechnung der Nullstellen von Polynomen
-
Bauhuber, F. (1970). Diskrete Verfahren zur Berechnung der Nullstellen von Polynomen, Computing, 5, 97-118.
-
(1970)
Computing
, vol.5
, pp. 97-118
-
-
Bauhuber, F.1
-
2
-
-
0003751005
-
-
Birkhäuser, Basel
-
Bini, D. and Pan, V. Y., Polynomial and Matrix Computations, 1, Birkhäuser, Basel, 1994, 390 p.
-
(1994)
Polynomial and Matrix Computations
, vol.1
-
-
Bini, D.1
Pan, V.Y.2
-
3
-
-
84963428213
-
Numerical implementation of a new algorithm for polynomials with multiple roots
-
Brugnano, L. (1995). Numerical implementation of a new algorithm for polynomials with multiple roots, J. Difference Equ. Appl., 1, 187-207.
-
(1995)
J. Difference Equ. Appl.
, vol.1
, pp. 187-207
-
-
Brugnano, L.1
-
4
-
-
26444473141
-
Errata to: Numerical implementation of a new algorithm for polynomials with multiple roots
-
Brugnano, L. (1996). Errata to: Numerical implementation of a new algorithm for polynomials with multiple roots, J. Difference Equ. Appl., 2, 101.
-
(1996)
J. Difference Equ. Appl.
, vol.2
, pp. 101
-
-
Brugnano, L.1
-
5
-
-
21844508213
-
Polynomial roots: The ultimate answer?
-
Brugnano, L. and Trigiante, D. (1995). Polynomial roots: the ultimate answer?, Lin. Alg. Appl., 225, 207-219.
-
(1995)
Lin. Alg. Appl.
, vol.225
, pp. 207-219
-
-
Brugnano, L.1
Trigiante, D.2
-
6
-
-
0030547039
-
A QL procedure for computing the eigenvalues of complex symmetric tridiagonal matrices
-
Cullum, J. K. and Willoughby, R. A. (1996). A QL procedure for computing the eigenvalues of complex symmetric tridiagonal matrices, SIAM J. Matr. Anal. Appl., 17, 83-109.
-
(1996)
SIAM J. Matr. Anal. Appl.
, vol.17
, pp. 83-109
-
-
Cullum, J.K.1
Willoughby, R.A.2
-
7
-
-
84968470212
-
An algorithm for the machine calculation of complex Fourier series
-
Cooley, J. W. and Tukey, J. W. (1965). An algorithm for the machine calculation of complex Fourier series, Math. Comp., 19, 297-301.
-
(1965)
Math. Comp.
, vol.19
, pp. 297-301
-
-
Cooley, J.W.1
Tukey, J.W.2
-
8
-
-
0000659575
-
A divide and conquer method for the symmetric tridiagonal eigenproblem
-
Cuppen, J. (1981). A divide and conquer method for the symmetric tridiagonal eigenproblem, Num. Math., 36, 177-195.
-
(1981)
Num. Math.
, vol.36
, pp. 177-195
-
-
Cuppen, J.1
-
9
-
-
0003622429
-
-
Masson, Paris
-
Durand, E., Solutions Numériques des Équations Algébriques, 1, Masson, Paris, 1960, 327 p.
-
(1960)
Solutions Numériques des Équations Algébriques
, vol.1
-
-
Durand, E.1
-
10
-
-
0011510268
-
-
Wiley-Interscience
-
Dejon, B. and Henrici, P., Constructive Aspects of the Fundamental Theorem of Algebra, Proceedings, Wiley-Interscience, 1969, 337 p.
-
(1969)
Constructive Aspects of the Fundamental Theorem of Algebra, Proceedings
-
-
Dejon, B.1
Henrici, P.2
-
12
-
-
84968482180
-
Polynomial roots from companion matrix eigenvalues
-
Edelman, A, and Murakami, H. (1995). Polynomial roots from companion matrix eigenvalues, Math. Comp., 64, 763-776.
-
(1995)
Math. Comp.
, vol.64
, pp. 763-776
-
-
Edelman, A.1
Murakami, H.2
-
15
-
-
0009913239
-
Expressing a polynomial as characteristic polynomial of a symmetric matrix
-
Fiedler, M. (1990). Expressing a polynomial as characteristic polynomial of a symmetric matrix, Lin. Alg. Appl., 141, 265-270.
-
(1990)
Lin. Alg. Appl.
, vol.141
, pp. 265-270
-
-
Fiedler, M.1
-
16
-
-
0042484707
-
-
Ph.D. Thesis, Universität Helmstedt, Germany, Werke
-
Gauß, C. F., Demonstratio nova theorematis omnem functionem algebraicam rationalem integram unis variabilis in factures reales primi vel secundi gradus resolvi posse, Ph.D. Thesis, Universität Helmstedt, Germany, 1799; Werke, Vol. III, 1-31.
-
(1799)
Demonstratio Nova Theorematis Omnem Functionem Algebraicam Rationalem Integram Unis Variabilis in Factures Reales Primi Vel Secundi Gradus Resolvi Posse
, vol.3
, pp. 1-31
-
-
Gauß, C.F.1
-
17
-
-
0000782325
-
On the condition of algebraic equations
-
Gautschi, W. (1973). On the condition of algebraic equations, Num. Math., 21, 405-424.
-
(1973)
Num. Math.
, vol.21
, pp. 405-424
-
-
Gautschi, W.1
-
18
-
-
0006616766
-
Remark on algorithms to find roots of polynomials
-
Goedecker, S. (1994). Remark on algorithms to find roots of polynomials, SIAM J. Sci. Comput., 15, 1059-1063.
-
(1994)
SIAM J. Sci. Comput.
, vol.15
, pp. 1059-1063
-
-
Goedecker, S.1
-
19
-
-
0004236492
-
-
Johns Hopkins U Press
-
Golub, G. H. and van Loan, C. F., Matrix Computations, second edn., Johns Hopkins U Press, 1989, 642 p.
-
(1989)
Matrix Computations, Second Edn.
-
-
Golub, G.H.1
Van Loan, C.F.2
-
20
-
-
0004094304
-
-
John Wiley, New York
-
Henrici, P., Applied and Computational Complex Analysis, 1, John Wiley, New York, 1974, 682
-
(1974)
Applied and Computational Complex Analysis
, vol.1
, pp. 682
-
-
Henrici, P.1
-
21
-
-
0012249401
-
Uniformly convergent algorithms for the simultaneous approximation of all zeros of a polynomial
-
Wiley-Interscience
-
Henrici, P. and Gargantini, I., Uniformly convergent algorithms for the simultaneous approximation of all zeros of a polynomial, In: "Constructive Aspects of the Fundamental Theorem of Algebra" [10], Proceedings, Wiley-Interscience, 1969, pp. 77-113.
-
(1969)
"Constructive Aspects of the Fundamental Theorem of Algebra" [10], Proceedings
, pp. 77-113
-
-
Henrici, P.1
Gargantini, I.2
-
23
-
-
26444523045
-
An algorithm for the automatic general polynomial solver
-
Wiley-Interscience
-
Jenkins, M. A. and Traub, J. F., An algorithm for the automatic general polynomial solver, In: "Constructive Aspects of the Fundamental Theorem of Algebra' [10], Proceedings, Wiley-Interscience, 1969, pp. 151-180.
-
(1969)
"Constructive Aspects of the Fundamental Theorem of Algebra' [10], Proceedings
, pp. 151-180
-
-
Jenkins, M.A.1
Traub, J.F.2
-
24
-
-
38249003883
-
A case against the divide and conquer approach to the nonsymmetric eigenvalue problem
-
Jessup, E. R. (1993). A case against the divide and conquer approach to the nonsymmetric eigenvalue problem, Appl. Num. Math., 12, 403-420.
-
(1993)
Appl. Num. Math.
, vol.12
, pp. 403-420
-
-
Jessup, E.R.1
-
25
-
-
84968487034
-
A method for solving algebraic equations using an automatic computer
-
Muller, D. E. (1956). A method for solving algebraic equations using an automatic computer, Math. Tables Aids Comp., 10, 208-215.
-
(1956)
Math. Tables Aids Comp.
, vol.10
, pp. 208-215
-
-
Muller, D.E.1
-
26
-
-
0347505326
-
Weyl's quadtree algorithm for the unsymmetric eigenvalue problem
-
Pan, V. Y. (1995). Weyl's quadtree algorithm for the unsymmetric eigenvalue problem, Appl. Math. Lett., 8, 87-88.
-
(1995)
Appl. Math. Lett.
, vol.8
, pp. 87-88
-
-
Pan, V.Y.1
-
27
-
-
0031169815
-
Solving the polynomial equation: Some history and recent progress
-
Pan, V. Y. (1997). Solving the polynomial equation: some history and recent progress, SIAM Review, 39, 187-220.
-
(1997)
SIAM Review
, vol.39
, pp. 187-220
-
-
Pan, V.Y.1
-
29
-
-
0345441668
-
A real symmetric tridiagonal matrix with a given characteristic polynomial
-
Schmeisser, G. (1993). A real symmetric tridiagonal matrix with a given characteristic polynomial, Lin. Alg. Appl., 193, 11-18.
-
(1993)
Lin. Alg. Appl.
, vol.193
, pp. 11-18
-
-
Schmeisser, G.1
-
30
-
-
34250487811
-
Gaussian elimination is not optimal
-
Strassen, V. (1969). Gaussian elimination is not optimal, Num. Math., 13, 354-356.
-
(1969)
Num. Math.
, vol.13
, pp. 354-356
-
-
Strassen, V.1
-
31
-
-
0039286659
-
Another look at a matrix of Marc Kac
-
Taussky, O. and Todd, J. (1991). Another look at a matrix of Marc Kac, Lin. Alg. Appl., 150, 341-360.
-
(1991)
Lin. Alg. Appl.
, vol.150
, pp. 341-360
-
-
Taussky, O.1
Todd, J.2
-
32
-
-
26444614696
-
Are the coefficients of a polynomial well-conditioned functions of its roots?
-
Uhlig, F. (1992). Are the coefficients of a polynomial well-conditioned functions of its roots? Num. Math., 61, 383-393.
-
(1992)
Num. Math.
, vol.61
, pp. 383-393
-
-
Uhlig, F.1
-
33
-
-
0031487023
-
The DQR algorithm, basic theory, convergence and conditional stability
-
Uhlig, F. (1997). The DQR algorithm, basic theory, convergence and conditional stability, Num. Math., 76, 515-553.
-
(1997)
Num. Math.
, vol.76
, pp. 515-553
-
-
Uhlig, F.1
-
34
-
-
21844503637
-
Forward stability and transmission of shifts in the QR algorithm
-
Watkins, D. S. (1995). Forward stability and transmission of shifts in the QR algorithm, SIAM J. Matrix Anal. Appl., 16, 467-487.
-
(1995)
SIAM J. Matrix Anal. Appl.
, vol.16
, pp. 467-487
-
-
Watkins, D.S.1
-
35
-
-
34250946236
-
Randbemerkungen zu Hauptproblemen der Algebra, II, Fundamentalsatz der Algebra und Grundlagen der Mathematik
-
Weyl, H. (1924). Randbemerkungen zu Hauptproblemen der Algebra, II, Fundamentalsatz der Algebra und Grundlagen der Mathematik, Math. Z., pp. 131-151.
-
(1924)
Math. Z.
, pp. 131-151
-
-
Weyl, H.1
|