-
1
-
-
0001128796
-
Numerical Continuation Methods. An Introduction
-
Springer-Verlag, Berlin, Heidelberg, New York, reprinted as Introduction to Numerical Continuation Methods, Classics Appl. Math. 45, SIAM, Philadelphia, 2003
-
E. L. ALLGOWER and K. GEORG, Numerical Continuation Methods. An Introduction, Springer Ser. Comput. Math. 13, Springer-Verlag, Berlin, Heidelberg, New York, 1990; reprinted as Introduction to Numerical Continuation Methods, Classics Appl. Math. 45, SIAM, Philadelphia, 2003.
-
(1990)
Springer Ser. Comput. Math
, vol.13
-
-
ALLGOWER, E.L.1
GEORG, K.2
-
4
-
-
34250456039
-
Circular arithmetic and the determination of polynomial zeros
-
I. GARGANTINI and P. HENRICI, Circular arithmetic and the determination of polynomial zeros, Numer. Math., 18 (1971/1972), pp. 305-320.
-
(1971)
Numer. Math
, vol.18
, pp. 305-320
-
-
GARGANTINI, I.1
HENRICI, P.2
-
5
-
-
0025446701
-
Algorithm 681: INTBIS, a portable interval Newton/bisection package
-
R. B. KEARFOTT and M. NOVOA, Algorithm 681: INTBIS, a portable interval Newton/bisection package, ACM Trans. Math. Softw., 16 (1990), pp. 152-157.
-
(1990)
ACM Trans. Math. Softw
, vol.16
, pp. 152-157
-
-
KEARFOTT, R.B.1
NOVOA, M.2
-
6
-
-
0028446207
-
An interval step control for continuation methods
-
R. B. KEARFOTT and Z. XING, An interval step control for continuation methods, SIAM J. Numer. Anal., 31 (1994), pp. 892-914.
-
(1994)
SIAM J. Numer. Anal
, vol.31
, pp. 892-914
-
-
KEARFOTT, R.B.1
XING, Z.2
-
7
-
-
0008489840
-
The Art of Computer Programming
-
Addison-Wesley, Reading, MA
-
D. E. KNUTH, The Art of Computer Programming, Vol. 2: Seminumerical Algorithms, Addison-Wesley, Reading, MA, 1969.
-
(1969)
Seminumerical Algorithms
, vol.2
-
-
KNUTH, D.E.1
-
8
-
-
33748955827
-
Evaluation of Jacobian matrices for Newton's method with deflation for isolated singularities of polynomial systems
-
D. Wang and L. Zhi, eds, Xi'an, China
-
A. LEYKIN, J. VERSCHELDE, and A. ZHAO, Evaluation of Jacobian matrices for Newton's method with deflation for isolated singularities of polynomial systems, in Proceedings of the International Workshop on Symbolic-Numeric Computation (SNC 2005), D. Wang and L. Zhi, eds., Xi'an, China, 2005, pp. 19-28.
-
(2005)
Proceedings of the International Workshop on Symbolic-Numeric Computation (SNC
, pp. 19-28
-
-
LEYKIN, A.1
VERSCHELDE, J.2
ZHAO, A.3
-
9
-
-
85011518993
-
Numerical solution of multivariate polynomial systems by homotopy continuation methods
-
T. Y. LI, Numerical solution of multivariate polynomial systems by homotopy continuation methods, Acta Numer., 6 (1997), pp. 399-436.
-
(1997)
Acta Numer
, vol.6
, pp. 399-436
-
-
LI, T.Y.1
-
10
-
-
67649659716
-
-
T. Y. LI, Numerical solution of polynomial systems by homotopy continuation methods, in Handbook of Numerical Analysis. XI. Special Foundations of Computational Mathematics, F. Cucker, ed., North-Holland, Amsterdam, 2003, pp. 209-304.
-
T. Y. LI, Numerical solution of polynomial systems by homotopy continuation methods, in Handbook of Numerical Analysis. Volume XI. Special Volume: Foundations of Computational Mathematics, F. Cucker, ed., North-Holland, Amsterdam, 2003, pp. 209-304.
-
-
-
-
11
-
-
27144448140
-
A rank-revealing method with updating, downdating, and applications
-
T. Y. LI and Z. ZENG, A rank-revealing method with updating, downdating, and applications, SIAM J. Matrix Anal. Appl., 26 (2005), pp. 918-946.
-
(2005)
SIAM J. Matrix Anal. Appl
, vol.26
, pp. 918-946
-
-
LI, T.Y.1
ZENG, Z.2
-
12
-
-
0042739758
-
A parser for the interval evaluation of analytical functions and its applications to engineering problems
-
J.-P. MERLET. A parser for the interval evaluation of analytical functions and its applications to engineering problems, J. SYMBOLIC COMPUT., 31 (2001), pp. 475-486.
-
(2001)
J. SYMBOLIC COMPUT
, vol.31
, pp. 475-486
-
-
MERLET, J.-P.1
-
14
-
-
45949116959
-
Computing all solutions to polynomial systems using homotopy continuation
-
A. P. MORGAN and A. J. SOMMESE, Computing all solutions to polynomial systems using homotopy continuation, Appl. Math. Comput., 24 (1987), pp. 115-138;
-
(1987)
Appl. Math. Comput
, vol.24
, pp. 115-138
-
-
MORGAN, A.P.1
SOMMESE, A.J.2
-
15
-
-
44049109564
-
-
errata: Appl. Math. Comput., 51 (1992), p. 209.
-
errata: Appl. Math. Comput., 51 (1992), p. 209.
-
-
-
-
16
-
-
0000749801
-
Coefficient- parameter polynomial continuation
-
A. P. MORGAN and A. J. SOMMESE, Coefficient- parameter polynomial continuation, Appl. Math. Comput., 29 (1989), pp. 123-160;
-
(1989)
Appl. Math. Comput
, vol.29
, pp. 123-160
-
-
MORGAN, A.P.1
SOMMESE, A.J.2
-
17
-
-
38249010312
-
-
errata: Appl. Math. Comput., 51 (1992), p. 207.
-
errata: Appl. Math. Comput., 51 (1992), p. 207.
-
-
-
-
18
-
-
34249955199
-
Computing singular solutions to nonlinear analytic systems
-
A. P. MORGAN, A. J. SOMMESE, and C. W. WAMPLER, Computing singular solutions to nonlinear analytic systems, Numer. Math., 58 (1991), pp. 669-684.
-
(1991)
Numer. Math
, vol.58
, pp. 669-684
-
-
MORGAN, A.P.1
SOMMESE, A.J.2
WAMPLER, C.W.3
-
19
-
-
0012217753
-
Computing singular solutions to polynomial systems
-
A. P. MORGAN, A. J. SOMMESE, and C. W. WAMPLER, Computing singular solutions to polynomial systems, Adv. Appl. Math., 13 (1992), pp. 305-327.
-
(1992)
Adv. Appl. Math
, vol.13
, pp. 305-327
-
-
MORGAN, A.P.1
SOMMESE, A.J.2
WAMPLER, C.W.3
-
20
-
-
21144479938
-
A power series method for computing singular solutions to nonlinear analytic systems
-
A. P. MORGAN, A. J. SOMMESE, and C. W. WAMPLER, A power series method for computing singular solutions to nonlinear analytic systems, Numer. Math., 63 (1992), pp. 391-409.
-
(1992)
Numer. Math
, vol.63
, pp. 391-409
-
-
MORGAN, A.P.1
SOMMESE, A.J.2
WAMPLER, C.W.3
-
21
-
-
22344435283
-
Motivations for an arbitrary precision interval arithmetic and the MPFI library
-
N. REVOL and F. ROUILLIER, Motivations for an arbitrary precision interval arithmetic and the MPFI library, Reliable Comput., 11 (2005), pp. 275-290.
-
(2005)
Reliable Comput
, vol.11
, pp. 275-290
-
-
REVOL, N.1
ROUILLIER, F.2
-
22
-
-
0002342184
-
INTLAB-INTerval LABoratory
-
T. Csendes, ed, Budapest, Kluwer Academic, Dordrecht, The Netherlands
-
S. M. RUMP, INTLAB-INTerval LABoratory, in Developments in Reliable Computing: Proceedings of the GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics (SCAN-98), T. Csendes, ed., Budapest, 1998, Kluwer Academic, Dordrecht, The Netherlands, 1999, pp. 77-104.
-
(1998)
Developments in Reliable Computing: Proceedings of the GAMM-IMACS International Symposium on Scientific Computing, Computer Arithmetic and Validated Numerics (SCAN-98)
, pp. 77-104
-
-
RUMP, S.M.1
-
24
-
-
0035537392
-
Newton's method in floating point arithmetic and iterative refinement of generalized eigenvalue problems
-
F. TISSEUR, Newton's method in floating point arithmetic and iterative refinement of generalized eigenvalue problems, SIAM J. Matrix Anal. Appl., 22 (2001), pp. 1038-1057.
-
(2001)
SIAM J. Matrix Anal. Appl
, vol.22
, pp. 1038-1057
-
-
TISSEUR, F.1
-
25
-
-
0001656792
-
Algorithm 795: PHCpack: A general-purpose solver for polynomial systems by homotopy continuation
-
software available from
-
J. VERSCHELDE, Algorithm 795: PHCpack: A general-purpose solver for polynomial systems by homotopy continuation, ACM T. Math. Software, 25 (1999), pp. 251-276; software available from www.math.uic.edu/~jan.
-
(1999)
ACM T. Math. Software
, vol.25
, pp. 251-276
-
-
VERSCHELDE, J.1
-
26
-
-
0026822964
-
Complete solution of the nine-point path synthesis problem for four-bar linkages
-
C. W. WAMPLER, A. MORGAN, and A. J. SOMMESE, Complete solution of the nine-point path synthesis problem for four-bar linkages, ASME J. Mech. Design, 114 (1992), pp. 153-159.
-
(1992)
ASME J. Mech. Design
, vol.114
, pp. 153-159
-
-
WAMPLER, C.W.1
MORGAN, A.2
SOMMESE, A.J.3
-
28
-
-
55549143111
-
-
J. H. WILKINSON, Rounding Errors in Algebraic Processes, Dover, New York, 1994; reprint of the 1963 Prentice-Hall original.
-
J. H. WILKINSON, Rounding Errors in Algebraic Processes, Dover, New York, 1994; reprint of the 1963 Prentice-Hall original.
-
-
-
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