×

zbMATH — the first resource for mathematics

Li, Tien-Yien

Compute Distance To:
Author ID: li.tien-yien Recent zbMATH articles by "Li, Tien-Yien"
Published as: Li, T.; Li, T. Y.; Li, T.-Y.; Li, Tien Tien; Li, Tien Yien; Li, Tien-Yien; Li, Tienyien
External Links: MGP · Wikidata
Documents Indexed: 117 Publications since 1975, including 1 Book
all top 5

Serials

7 SIAM Journal on Numerical Analysis
6 Mathematics of Computation
4 Numerische Mathematik
4 SIAM Journal on Scientific Computing
4 Nonlinear Analysis. Theory, Methods & Applications
3 Applied Mathematics and Computation
3 Transactions of the American Mathematical Society
3 SIAM Journal on Matrix Analysis and Applications
3 Numerical Algorithms
3 Taiwanese Journal of Mathematics
3 Communications in Information and Systems
2 Journal of Mathematical Analysis and Applications
2 Journal of Computational and Applied Mathematics
2 Journal of Symbolic Computation
2 Discrete & Computational Geometry
1 American Mathematical Monthly
1 The Mathematical Intelligencer
1 Beiträge zur Algebra und Geometrie
1 ACM Transactions on Mathematical Software
1 The Arabian Journal for Science and Engineering
1 Computing
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Approximation Theory
1 Journal of Differential Equations
1 Manuscripta Mathematica
1 SIAM Journal on Scientific and Statistical Computing
1 Advances in Mathematics
1 Physica D
1 Parallel Computing
1 Japan Journal of Applied Mathematics
1 Northeastern Mathematical Journal
1 Bulletin of the Institute of Mathematics. Academia Sinica
1 Linear Algebra and its Applications
1 Bulletin of the American Mathematical Society. New Series
1 SIAM Journal on Optimization
1 The Arabian Journal for Science and Engineering. Section C: Theme Issues
1 Mechanism and Machine Theory
1 Annales Mathematicae Silesianae
1 Missouri Journal of Mathematical Sciences
1 ICCM Notices

Publications by Year

Citations contained in zbMATH Open

92 Publications have been cited 2,102 times in 1,667 Documents Cited by Year
Period three implies chaos. Zbl 0351.92021
Li, Tien-Yien; Yorke, James A.
965
1975
Finite approximation for the Frobenius-Perron operator. A solution to Ulam’s conjecture. Zbl 0357.41011
Li, Tien-Yien
102
1976
Ergodic transformations from an interval into itself. Zbl 0371.28017
Li, Tien-Yien; Yorke, James A.
70
1978
A constructive proof of the Brouwer fixed-point theorem and computational results. Zbl 0355.65037
Kellogg, R. B.; Li, T. Y.; Yorke, J.
68
1976
HOM4PS-2.0: a software package for solving polynomial systems by the polyhedral homotopy continuation method. Zbl 1167.65366
Lee, T. L.; Li, T. Y.; Tsai, C. H.
58
2008
Numerical solution of multivariate polynomial systems by homotopy continuation methods. Zbl 0886.65054
Li, T. Y.
50
1997
On the number of solutions to polynomial systems of equations. Zbl 0445.65037
Garcia, C. B.; Li, T. Y.
41
1980
Markov finite approximation of Frobenius-Perron operator. Zbl 0758.28014
Ding, Jiu; Li, Tien Yien
38
1991
Numerical solution of polynomial systems by homotopy continuation methods. Zbl 1059.65046
Li, T. Y.
36
2003
The cheater’s homotopy: An efficient procedure for solving systems of polynomial equations. Zbl 0689.65032
Li, T. Y.; Sauer, Tim; Yorke, J. A.
31
1989
No division implies chaos. Zbl 0495.58018
Li, Tien-Yien; Misiurewicz, Michal; Pianigiani, Giulio; Yorke, James A.
29
1982
Asymptotic periodicity of the iterates of Markov operators. Zbl 0564.47015
Lasota, A.; Li, T. Y.; Yorke, J. A.
28
1984
Error estimates of the Markov finite approximation of the Frobenius- Perron operator. Zbl 0788.28009
Chiu, C.; Du, Q.; Li, T. Y.
25
1992
Multiple zeros of nonlinear systems. Zbl 1242.65102
Dayton, Barry H.; Li, Tien-Yien; Zeng, Zhonggang
24
2011
Numerical solution of a class of deficient polynomial systems. Zbl 0625.65039
Li, Tien-Yien; Sauer, Tim; Yorke, James A.
24
1987
High order approximation of the Frobenius-Perron operator. Zbl 0769.65025
Ding, J.; Du, Q.; Li, T. Y.
22
1993
The BKK root count in \(\mathbb{C}^ n\). Zbl 0855.65053
Li, T. Y.; Wang, Xiaoshen
21
1996
A rank-revealing method with updating, downdating, and applications. Zbl 1114.15004
Li, T. Y.; Zeng, Zhonggang
17
2005
Homotopy method for generalized eigenvalue problems \(Ax=\lambda Bx\). Zbl 0621.65028
Li, T. Y.; Sauer, T.
17
1987
Algorithm 846: MixedVol: a software package for mixed-volume computation. Zbl 1136.65320
Gao, Tangan; Li, T. Y.; Wu, Mengnien
16
2005
Finding mixed cells in the mixed volume computation. Zbl 1012.65019
Li, T. Y.; Li, Xing
16
2001
A convergence rate analysis for Markov finite approximations to a class of Frobenius-Perron operators. Zbl 1003.47026
Ding, Jiu; Li, Tien Yien
15
1998
Projection solutions of Frobenius-Perron operator equations. Zbl 0779.41016
Ding, Jiu; Li, Tien Tien
15
1993
Counting real connected components of trinomial curve intersections and \(m\)-nomial hypersurfaces. Zbl 1059.14071
Li, Tien-Yien; Rojas, J. Maurice; Wang, Xiaoshen
14
2003
Solving polynomial systems by polyhedral homotopies. Zbl 0945.65052
Li, Tien-Yien
14
1999
Homotopy algorithm for symmetric eigenvalue problems. Zbl 0653.65025
Li, T. Y.; Rhee, N. H.
14
1989
On Chow, Mallet-Paret and Yorke homotopy for solving system of polynomials. Zbl 0538.65030
Li, Tien-Yien
14
1983
Finding all isolated zeros of polynomial systems in \(\mathbb{C}^n\) via stable mixed volumes. Zbl 0944.65055
Gao, Tangan; Li, T. Y.; Wang, Xiaoshen
13
1999
Solving eigenvalue problems of real nonsymmetric matrices with real homotopies. Zbl 0749.65028
Li, T. Y.; Zeng, Zhonggang; Cong, Luan
12
1992
Existence of solutions for ordinary differential equations in Banach spaces. Zbl 0325.34069
Li, Tien-Yien
12
1975
Solving real polynomial systems with real homotopies. Zbl 0779.65033
Li, T. Y.; Wang, Xiaoshen
11
1993
On locating all zeros of an analytic function within a bounded domain by a revised Delves-Lyness method. Zbl 0545.65031
Li, Tien-Yien
11
1983
Numerically determining solutions of systems of polynomial equations. Zbl 0651.65042
Li, T. Y.; Sauer, Tim; Yorke, James A.
10
1988
The random product homotopy and deficient polynomial systems. Zbl 0656.65055
Li, T. Y.; Sauer, Tim; Yorke, James A.
10
1987
Mixed volume computation for semi-mixed systems. Zbl 1052.68131
Gao, Tangan; Li, T. Y.
9
2003
Homotopy-determinant algorithm for solving nonsymmetric eigenvalue problems. Zbl 0783.65034
Li, T. Y.; Zeng, Zhonggang
9
1992
Homotopy method for general \(\lambda\)-matrix problems. Zbl 0661.65043
Chu, Moody T.; Li, T. Y.; Sauer, Tim
9
1988
Solving polynomial systems. Zbl 0637.65047
Li, Tienyien
9
1987
Finite approximations of Markov operators. Zbl 1013.65140
Ding, Jiu; Li, Tien Yien; Zhou, Aihui
8
2002
The generalized Boole’s transformation is ergodic. Zbl 0389.28009
Li, Tien-Yien; Schweiger, Fritz
8
1978
Determining the structure of the Jordan normal form of a matrix by symbolic computation. Zbl 0870.65030
Li, T. Y.; Zhang, Zhinan; Wang, Tianjun
7
1997
The quasi-Laguerre iteration. Zbl 0854.65033
Du, Qiang; Jin, Ming; Li, T. Y.; Zeng, Z.
7
1997
The spectral analysis of Frobenius-Perron operators. Zbl 0830.47022
Ding, J.; Du, Q.; Li, T. Y.
7
1994
Parallel homotopy algorithm for the symmetric tridiagonal eigenvalue problem. Zbl 0739.65035
Li, Tien-Yien; Zhang, Hong; Sun, Xian-He
7
1991
Ergodic maps on \([0,1]\) and nonlinear pseudo-random number generators. Zbl 0407.28011
Li, Tien-Yien; Yorke, James A.
7
1978
Bounds for the periods of periodic solutions of differential delay equations. Zbl 0308.34060
Li, Tien-Yien
7
1975
Mixed volume computation in solving polynomial systems. Zbl 1416.65145
Lee, Tsung-Lin; Li, Tien-Yien
6
2011
Numerical Schubert calculus by the Pieri homotopy algorithm. Zbl 1018.14018
Li, T. Y.; Wang, Xiaoshen; Wu, Mengnien
6
2002
Lyapunov iterations for solving coupled algebraic Riccati equations of Nash differential games and algebraic Riccati equations of zero-sum games. Zbl 0846.90145
Li, T.-Y.; Gajic, Z.
6
1995
The Laguerre iteration in solving the symmetric tridiagonal eigenproblem, revisited. Zbl 0809.65035
Li, T. Y.; Zeng, Zhonggang
6
1994
An algorithm for symmetric tridiagonal eigenproblems: Divide and conquer with homotopy continuation. Zbl 0790.65032
Li, Kuiyuan; Li, Tien-Yien
6
1993
A polynomial-time predictor-corrector algorithm for a class of linear complementarity problems. Zbl 0752.90079
Ding, Jiu; Li, Tien-Yien
6
1991
Mixed volume computation in parallel. Zbl 1357.52009
Chen, Tianran; Lee, Tsung-Lin; Li, Tien-Yien
5
2014
Mixed volume computation via linear programming. Zbl 0997.65081
Gao, Tangan; Li, T. Y.
5
2000
Nonlinear homotopies for solving deficient polynomial systems with parameters. Zbl 0763.65037
Li, T. Y.; Wang, Xiaoshen
5
1992
Piecewise smooth homotopies. Zbl 0519.55001
Alexander, J. C.; Li, T.-Y.; Yorke, J. A.
5
1983
Hom4PS-3: a parallel numerical solver for systems of polynomial equations based on polyhedral homotopy continuation methods. Zbl 1434.65065
Chen, Tianran; Lee, Tsung-Lin; Li, Tien-Yien
4
2014
A constrained homotopy technique for excluding unwanted solutions from polynomial equations arising in kinematics problems. Zbl 1359.70037
Tari, Hafez; Su, Hai-Jun; Li, Tien-Yien
4
2010
Determining dimension of the solution component that contains a computed zero of a polynomial system. Zbl 1133.65028
Kuo, Y. C.; Li, T. Y.
4
2008
The theory of chaotic attractors. Dedicated to James A. Yorke in commemoration of his 60th birthday. Zbl 1114.37002
Hunt, Brian R. (ed.); Kennedy, Judy A. (ed.); Li, Tien-Yien (ed.); Nusse, Helena E. (ed.)
4
2004
Balancing the lifting values to improve the numerical stability of polyhedral homotopy continuation methods. Zbl 1023.65048
Gao, Tangan; Li, T. Y.; Verschelde, Jan; Wu, Mengnien
4
2000
A homotopy algorithm for a symmetric generalized eigenproblem. Zbl 0779.65024
Li, Kuiyuan; Li, Tien-Yien
4
1993
An algorithm based on weighted logarithmic barrier functions for linear complementarity problems. Zbl 0717.90076
Ding, Jiu; Li, Tien-Yien
4
1990
A method of continuation for calculating a Brouwer fixed point. Zbl 0426.90094
Kellogg, R. B.; Li, T. Y.; Yorke, J.
4
1977
The numerical solution of the Hilbert problem. Zbl 0356.65018
Ikebe, Y.; Li, T. Y.; Stenger, F.
4
1976
Mixed cell computation in HOM4ps. Zbl 1365.13047
Chen, Tianran; Lee, Tsung-Lin; Li, Tien-Yien
3
2017
Solutions to systems of binomial equations. Zbl 1439.13079
Chen, Tianran; Li, Tien-Yien
3
2014
Real zeros of three different cases of polynomials with random coefficients. Zbl 1263.60049
Farahmand, K.; Li, T.
3
2012
Quasi-Laguerre iteration in solving symmetric tridiagonal eigenvalue problems. Zbl 0865.65021
Du, Qiang; Jin, Ming; Li, T. Y.; Zeng, Z.
3
1996
An algorithm for the generalized symmetric tridiagonal eigenvalue problem. Zbl 0821.65018
Li, Kuiyuan; Li, Tien-Yien; Zeng, Zhonggang
3
1994
Solving deficient polynomial systems with homotopies which keep the subschemes at infinity invariant. Zbl 0722.65028
Li, T. Y.; Wang, Xiaoshen
3
1991
A simple homotopy for solving deficient polynomial systems. Zbl 0693.65036
Li, Tien-Yien; Sauer, Tim
3
1989
Homotopy continuation method for solving systems of nonlinear and polynomial equations. Zbl 1337.65044
Chen, Tianran; Li, Tien-Yien
2
2015
Random trigonometric polynomials with nonidentically distributed coefficients. Zbl 1197.60049
Farahmand, K.; Li, T.
2
2010
A rank-revealing method with updating, downdating, and applications. II. Zbl 1190.65058
Lee, Tsung-Lin; Li, Tien-Yien; Zeng, Zhonggang
2
2009
SLYRB measures: Natural invariant measures for chaotic systems. Zbl 1098.37517
Hunt, Brian R.; Kennedy, Judy A.; Li, Tienyien; Nusse, Helena E.
2
2002
Time-like extra dimension and cosmological constant in brane models. Zbl 0977.83079
Li, T.
2
2001
The homotopy continuation algorithm for the real nonsymmetric eigenproblem: Further development and implementation. Zbl 0936.65040
Li, T. Y.; Zeng, Zhonggang
2
1999
On multivariate Descartes’ rule – a counterexample. Zbl 0905.14033
Li, T. Y.; Wang, Xiaoshen
2
1998
A scalable eigenvalue solver for symmetric tridiagonal matrices. Zbl 0873.65033
Trefftz, C.; Huang, C. C.; McKinley, P. K.; Li, T.-Y.; Zeng, Z.
2
1995
An efficient and accurate parallel algorithm for the singular value problem of bidiagonal matrices. Zbl 0823.65040
Li, T. Y.; Rhee, Noah H.; Zeng, Zhonggang
2
1995
Homotopy algorithm for symmetric eigenvalue problem. Zbl 0667.65032
Li, T. Y.; Rhee, N.
2
1987
Regularity results for real analytic homotopies. Zbl 0593.65037
Li, Tien-Yien; Mallet-Paret, John; Yorke, James A.
2
1985
A simple reliable numerical algorithm for following homotopy paths. Zbl 0472.65043
Li, Tien-Yien; Yorke, James A.
2
1980
RankRev: a Matlab package for computing the numerical rank and updating/downdating. Zbl 1382.65119
Lee, Tsung-Lin; Li, Tien-Yien; Zeng, Zhonggang
1
2018
Spherical projective path tracking for homotopy continuation methods. Zbl 1308.65078
Chen, Tianran; Li, Tien-Yien
1
2012
Neural network compensation control for output power optimization of wind energy conversion system based on data-driven control. Zbl 1248.93153
Li, T.; Feng, A. J.; Zhao, L.
1
2012
Random product homotopy with minimal BKK bound. Zbl 0857.65061
Li, T. Y.; Wang, Tianjun; Wang, Xiaoshen
1
1996
Parallel homotopy algorithm for symmetric large sparse eigenproblems. Zbl 0839.65048
Huang, Liang Jiao; Li, Tien-Yien
1
1995
Higher order turning points. Zbl 0815.65069
Li, T. Y.; Wang, Xiaoshen
1
1994
Entropy. Zbl 0711.28009
Li, Tien-Yien
1
1990
The ’simplest’ dynamical system. Zbl 0347.54027
Li, Tien-Yien; Yorke, James A.
1
1976
RankRev: a Matlab package for computing the numerical rank and updating/downdating. Zbl 1382.65119
Lee, Tsung-Lin; Li, Tien-Yien; Zeng, Zhonggang
1
2018
Mixed cell computation in HOM4ps. Zbl 1365.13047
Chen, Tianran; Lee, Tsung-Lin; Li, Tien-Yien
3
2017
Homotopy continuation method for solving systems of nonlinear and polynomial equations. Zbl 1337.65044
Chen, Tianran; Li, Tien-Yien
2
2015
Mixed volume computation in parallel. Zbl 1357.52009
Chen, Tianran; Lee, Tsung-Lin; Li, Tien-Yien
5
2014
Hom4PS-3: a parallel numerical solver for systems of polynomial equations based on polyhedral homotopy continuation methods. Zbl 1434.65065
Chen, Tianran; Lee, Tsung-Lin; Li, Tien-Yien
4
2014
Solutions to systems of binomial equations. Zbl 1439.13079
Chen, Tianran; Li, Tien-Yien
3
2014
Real zeros of three different cases of polynomials with random coefficients. Zbl 1263.60049
Farahmand, K.; Li, T.
3
2012
Spherical projective path tracking for homotopy continuation methods. Zbl 1308.65078
Chen, Tianran; Li, Tien-Yien
1
2012
Neural network compensation control for output power optimization of wind energy conversion system based on data-driven control. Zbl 1248.93153
Li, T.; Feng, A. J.; Zhao, L.
1
2012
Multiple zeros of nonlinear systems. Zbl 1242.65102
Dayton, Barry H.; Li, Tien-Yien; Zeng, Zhonggang
24
2011
Mixed volume computation in solving polynomial systems. Zbl 1416.65145
Lee, Tsung-Lin; Li, Tien-Yien
6
2011
A constrained homotopy technique for excluding unwanted solutions from polynomial equations arising in kinematics problems. Zbl 1359.70037
Tari, Hafez; Su, Hai-Jun; Li, Tien-Yien
4
2010
Random trigonometric polynomials with nonidentically distributed coefficients. Zbl 1197.60049
Farahmand, K.; Li, T.
2
2010
A rank-revealing method with updating, downdating, and applications. II. Zbl 1190.65058
Lee, Tsung-Lin; Li, Tien-Yien; Zeng, Zhonggang
2
2009
HOM4PS-2.0: a software package for solving polynomial systems by the polyhedral homotopy continuation method. Zbl 1167.65366
Lee, T. L.; Li, T. Y.; Tsai, C. H.
58
2008
Determining dimension of the solution component that contains a computed zero of a polynomial system. Zbl 1133.65028
Kuo, Y. C.; Li, T. Y.
4
2008
A rank-revealing method with updating, downdating, and applications. Zbl 1114.15004
Li, T. Y.; Zeng, Zhonggang
17
2005
Algorithm 846: MixedVol: a software package for mixed-volume computation. Zbl 1136.65320
Gao, Tangan; Li, T. Y.; Wu, Mengnien
16
2005
The theory of chaotic attractors. Dedicated to James A. Yorke in commemoration of his 60th birthday. Zbl 1114.37002
Hunt, Brian R. (ed.); Kennedy, Judy A. (ed.); Li, Tien-Yien (ed.); Nusse, Helena E. (ed.)
4
2004
Numerical solution of polynomial systems by homotopy continuation methods. Zbl 1059.65046
Li, T. Y.
36
2003
Counting real connected components of trinomial curve intersections and \(m\)-nomial hypersurfaces. Zbl 1059.14071
Li, Tien-Yien; Rojas, J. Maurice; Wang, Xiaoshen
14
2003
Mixed volume computation for semi-mixed systems. Zbl 1052.68131
Gao, Tangan; Li, T. Y.
9
2003
Finite approximations of Markov operators. Zbl 1013.65140
Ding, Jiu; Li, Tien Yien; Zhou, Aihui
8
2002
Numerical Schubert calculus by the Pieri homotopy algorithm. Zbl 1018.14018
Li, T. Y.; Wang, Xiaoshen; Wu, Mengnien
6
2002
SLYRB measures: Natural invariant measures for chaotic systems. Zbl 1098.37517
Hunt, Brian R.; Kennedy, Judy A.; Li, Tienyien; Nusse, Helena E.
2
2002
Finding mixed cells in the mixed volume computation. Zbl 1012.65019
Li, T. Y.; Li, Xing
16
2001
Time-like extra dimension and cosmological constant in brane models. Zbl 0977.83079
Li, T.
2
2001
Mixed volume computation via linear programming. Zbl 0997.65081
Gao, Tangan; Li, T. Y.
5
2000
Balancing the lifting values to improve the numerical stability of polyhedral homotopy continuation methods. Zbl 1023.65048
Gao, Tangan; Li, T. Y.; Verschelde, Jan; Wu, Mengnien
4
2000
Solving polynomial systems by polyhedral homotopies. Zbl 0945.65052
Li, Tien-Yien
14
1999
Finding all isolated zeros of polynomial systems in \(\mathbb{C}^n\) via stable mixed volumes. Zbl 0944.65055
Gao, Tangan; Li, T. Y.; Wang, Xiaoshen
13
1999
The homotopy continuation algorithm for the real nonsymmetric eigenproblem: Further development and implementation. Zbl 0936.65040
Li, T. Y.; Zeng, Zhonggang
2
1999
A convergence rate analysis for Markov finite approximations to a class of Frobenius-Perron operators. Zbl 1003.47026
Ding, Jiu; Li, Tien Yien
15
1998
On multivariate Descartes’ rule – a counterexample. Zbl 0905.14033
Li, T. Y.; Wang, Xiaoshen
2
1998
Numerical solution of multivariate polynomial systems by homotopy continuation methods. Zbl 0886.65054
Li, T. Y.
50
1997
Determining the structure of the Jordan normal form of a matrix by symbolic computation. Zbl 0870.65030
Li, T. Y.; Zhang, Zhinan; Wang, Tianjun
7
1997
The quasi-Laguerre iteration. Zbl 0854.65033
Du, Qiang; Jin, Ming; Li, T. Y.; Zeng, Z.
7
1997
The BKK root count in \(\mathbb{C}^ n\). Zbl 0855.65053
Li, T. Y.; Wang, Xiaoshen
21
1996
Quasi-Laguerre iteration in solving symmetric tridiagonal eigenvalue problems. Zbl 0865.65021
Du, Qiang; Jin, Ming; Li, T. Y.; Zeng, Z.
3
1996
Random product homotopy with minimal BKK bound. Zbl 0857.65061
Li, T. Y.; Wang, Tianjun; Wang, Xiaoshen
1
1996
Lyapunov iterations for solving coupled algebraic Riccati equations of Nash differential games and algebraic Riccati equations of zero-sum games. Zbl 0846.90145
Li, T.-Y.; Gajic, Z.
6
1995
A scalable eigenvalue solver for symmetric tridiagonal matrices. Zbl 0873.65033
Trefftz, C.; Huang, C. C.; McKinley, P. K.; Li, T.-Y.; Zeng, Z.
2
1995
An efficient and accurate parallel algorithm for the singular value problem of bidiagonal matrices. Zbl 0823.65040
Li, T. Y.; Rhee, Noah H.; Zeng, Zhonggang
2
1995
Parallel homotopy algorithm for symmetric large sparse eigenproblems. Zbl 0839.65048
Huang, Liang Jiao; Li, Tien-Yien
1
1995
The spectral analysis of Frobenius-Perron operators. Zbl 0830.47022
Ding, J.; Du, Q.; Li, T. Y.
7
1994
The Laguerre iteration in solving the symmetric tridiagonal eigenproblem, revisited. Zbl 0809.65035
Li, T. Y.; Zeng, Zhonggang
6
1994
An algorithm for the generalized symmetric tridiagonal eigenvalue problem. Zbl 0821.65018
Li, Kuiyuan; Li, Tien-Yien; Zeng, Zhonggang
3
1994
Higher order turning points. Zbl 0815.65069
Li, T. Y.; Wang, Xiaoshen
1
1994
High order approximation of the Frobenius-Perron operator. Zbl 0769.65025
Ding, J.; Du, Q.; Li, T. Y.
22
1993
Projection solutions of Frobenius-Perron operator equations. Zbl 0779.41016
Ding, Jiu; Li, Tien Tien
15
1993
Solving real polynomial systems with real homotopies. Zbl 0779.65033
Li, T. Y.; Wang, Xiaoshen
11
1993
An algorithm for symmetric tridiagonal eigenproblems: Divide and conquer with homotopy continuation. Zbl 0790.65032
Li, Kuiyuan; Li, Tien-Yien
6
1993
A homotopy algorithm for a symmetric generalized eigenproblem. Zbl 0779.65024
Li, Kuiyuan; Li, Tien-Yien
4
1993
Error estimates of the Markov finite approximation of the Frobenius- Perron operator. Zbl 0788.28009
Chiu, C.; Du, Q.; Li, T. Y.
25
1992
Solving eigenvalue problems of real nonsymmetric matrices with real homotopies. Zbl 0749.65028
Li, T. Y.; Zeng, Zhonggang; Cong, Luan
12
1992
Homotopy-determinant algorithm for solving nonsymmetric eigenvalue problems. Zbl 0783.65034
Li, T. Y.; Zeng, Zhonggang
9
1992
Nonlinear homotopies for solving deficient polynomial systems with parameters. Zbl 0763.65037
Li, T. Y.; Wang, Xiaoshen
5
1992
Markov finite approximation of Frobenius-Perron operator. Zbl 0758.28014
Ding, Jiu; Li, Tien Yien
38
1991
Parallel homotopy algorithm for the symmetric tridiagonal eigenvalue problem. Zbl 0739.65035
Li, Tien-Yien; Zhang, Hong; Sun, Xian-He
7
1991
A polynomial-time predictor-corrector algorithm for a class of linear complementarity problems. Zbl 0752.90079
Ding, Jiu; Li, Tien-Yien
6
1991
Solving deficient polynomial systems with homotopies which keep the subschemes at infinity invariant. Zbl 0722.65028
Li, T. Y.; Wang, Xiaoshen
3
1991
An algorithm based on weighted logarithmic barrier functions for linear complementarity problems. Zbl 0717.90076
Ding, Jiu; Li, Tien-Yien
4
1990
Entropy. Zbl 0711.28009
Li, Tien-Yien
1
1990
The cheater’s homotopy: An efficient procedure for solving systems of polynomial equations. Zbl 0689.65032
Li, T. Y.; Sauer, Tim; Yorke, J. A.
31
1989
Homotopy algorithm for symmetric eigenvalue problems. Zbl 0653.65025
Li, T. Y.; Rhee, N. H.
14
1989
A simple homotopy for solving deficient polynomial systems. Zbl 0693.65036
Li, Tien-Yien; Sauer, Tim
3
1989
Numerically determining solutions of systems of polynomial equations. Zbl 0651.65042
Li, T. Y.; Sauer, Tim; Yorke, James A.
10
1988
Homotopy method for general \(\lambda\)-matrix problems. Zbl 0661.65043
Chu, Moody T.; Li, T. Y.; Sauer, Tim
9
1988
Numerical solution of a class of deficient polynomial systems. Zbl 0625.65039
Li, Tien-Yien; Sauer, Tim; Yorke, James A.
24
1987
Homotopy method for generalized eigenvalue problems \(Ax=\lambda Bx\). Zbl 0621.65028
Li, T. Y.; Sauer, T.
17
1987
The random product homotopy and deficient polynomial systems. Zbl 0656.65055
Li, T. Y.; Sauer, Tim; Yorke, James A.
10
1987
Solving polynomial systems. Zbl 0637.65047
Li, Tienyien
9
1987
Homotopy algorithm for symmetric eigenvalue problem. Zbl 0667.65032
Li, T. Y.; Rhee, N.
2
1987
Regularity results for real analytic homotopies. Zbl 0593.65037
Li, Tien-Yien; Mallet-Paret, John; Yorke, James A.
2
1985
Asymptotic periodicity of the iterates of Markov operators. Zbl 0564.47015
Lasota, A.; Li, T. Y.; Yorke, J. A.
28
1984
On Chow, Mallet-Paret and Yorke homotopy for solving system of polynomials. Zbl 0538.65030
Li, Tien-Yien
14
1983
On locating all zeros of an analytic function within a bounded domain by a revised Delves-Lyness method. Zbl 0545.65031
Li, Tien-Yien
11
1983
Piecewise smooth homotopies. Zbl 0519.55001
Alexander, J. C.; Li, T.-Y.; Yorke, J. A.
5
1983
No division implies chaos. Zbl 0495.58018
Li, Tien-Yien; Misiurewicz, Michal; Pianigiani, Giulio; Yorke, James A.
29
1982
On the number of solutions to polynomial systems of equations. Zbl 0445.65037
Garcia, C. B.; Li, T. Y.
41
1980
A simple reliable numerical algorithm for following homotopy paths. Zbl 0472.65043
Li, Tien-Yien; Yorke, James A.
2
1980
Ergodic transformations from an interval into itself. Zbl 0371.28017
Li, Tien-Yien; Yorke, James A.
70
1978
The generalized Boole’s transformation is ergodic. Zbl 0389.28009
Li, Tien-Yien; Schweiger, Fritz
8
1978
Ergodic maps on \([0,1]\) and nonlinear pseudo-random number generators. Zbl 0407.28011
Li, Tien-Yien; Yorke, James A.
7
1978
A method of continuation for calculating a Brouwer fixed point. Zbl 0426.90094
Kellogg, R. B.; Li, T. Y.; Yorke, J.
4
1977
Finite approximation for the Frobenius-Perron operator. A solution to Ulam’s conjecture. Zbl 0357.41011
Li, Tien-Yien
102
1976
A constructive proof of the Brouwer fixed-point theorem and computational results. Zbl 0355.65037
Kellogg, R. B.; Li, T. Y.; Yorke, J.
68
1976
The numerical solution of the Hilbert problem. Zbl 0356.65018
Ikebe, Y.; Li, T. Y.; Stenger, F.
4
1976
The ’simplest’ dynamical system. Zbl 0347.54027
Li, Tien-Yien; Yorke, James A.
1
1976
Period three implies chaos. Zbl 0351.92021
Li, Tien-Yien; Yorke, James A.
965
1975
Existence of solutions for ordinary differential equations in Banach spaces. Zbl 0325.34069
Li, Tien-Yien
12
1975
Bounds for the periods of periodic solutions of differential delay equations. Zbl 0308.34060
Li, Tien-Yien
7
1975
all top 5

Cited by 2,102 Authors

39 Ding, Jiu
31 Chen, Guanrong
30 Li, Tien-Yien
23 Wu, Xinxing
22 Shi, Yuming
21 Wang, Lidong
19 Boyarsky, Abraham
18 Oprocha, Piotr
18 Verschelde, Jan
17 Li, Risong
17 Sommese, Andrew John
16 Cánovas, Jose S.
16 Soriano, J. Miguel
15 Yu, Bo
14 Yorke, James Alan
13 García Guirao, Juan Luis
13 Hauenstein, Jonathan D.
13 Rhee, Noah H.
13 Wampler, Charles W. II
12 Akhmet, Marat Ubaydulla
12 Huang, Yu
12 Liao, Gongfu
12 Llibre, Jaume
12 Lu, Tianxiu
12 Peris, Alfredo
12 Ye, Xiangdong
12 Zhou, Aihui
11 Andres, Jan
11 Li, Zongcheng
10 Bates, Daniel J.
10 Du, Bau-Sen
10 Sedaghat, Hassan
9 Gardini, Laura
9 Li, Jian
9 Wang, Huoyun
9 Xiong, Jincheng
9 Zeng, Zhonggang
9 Zhao, Yu
8 Fen, Mehmet Onur
8 Góra, Paweł
8 Nishimura, Kazuo
8 Nusse, Helena Engelina
8 Smítal, Jaroslav
8 Su, Menglong
8 Zhu, Peiyong
7 Froyland, Gary
7 Fu, Heman
7 Hou, Bingzhe
7 Huang, Wen
7 Jiménez López, Víctor
7 Liang, Wei
7 Soleymani, Fazlollah
7 Wang, Hui
7 Wu, Wenyuan
7 Zhu, Zhichuan
6 Alsedà, Lluís
6 Bernardes, Nilson C. jun.
6 Chu, Zhenyan
6 Dai, Xiongping
6 Das, Ruchi
6 Feichtinger, Gustav
6 Hommes, Cars H.
6 Kloeden, Peter Eris
6 Lampart, Marek
6 Lee, Tsung-Lin
6 Li, Yong
6 Mai, Jiehua
6 Marotto, Frederick R.
6 Mehta, Dhagash
6 Morgan, Alexander P.
6 Pireddu, Marina
6 Rogers, Thomas D.
6 Sirvent, Víctor F.
6 Tan, Feng
6 Tian, Chuanjun
5 an der Heiden, Uwe
5 Awrejcewicz, Jan
5 Bollt, Erik M.
5 Bonilla, Antonio
5 Chen, Tianran
5 Dobrynskiĭ, Vladimir A.
5 Fan, Qinjie
5 Fan, Xiaona
5 Fu, Xinchu
5 Jeronimo, Gabriela
5 Keller, Gerhard
5 Kojima, Masakazu
5 Leykin, Anton
5 Li, Changpin
5 Li, Zhong
5 Lin, Wei
5 Lin, Zhenghua
5 Mackey, Michael Charles
5 Martínez-Giménez, Félix
5 Misiurewicz, Michał
5 Mitra, Tapan
5 Naimzada, Ahmad K.
5 Seifert, George
5 Stockman, David R.
5 Wang, Jianjun
...and 2,002 more Authors
all top 5

Cited in 334 Serials

113 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
90 Chaos, Solitons and Fractals
72 Applied Mathematics and Computation
51 Journal of Mathematical Analysis and Applications
44 Journal of Difference Equations and Applications
41 Nonlinear Analysis. Theory, Methods & Applications
37 Chaos
35 Journal of Computational and Applied Mathematics
35 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
29 Physica D
28 Transactions of the American Mathematical Society
28 Ergodic Theory and Dynamical Systems
26 Proceedings of the American Mathematical Society
26 Journal of Symbolic Computation
22 Bulletin of the Australian Mathematical Society
22 Topology and its Applications
20 Computers & Mathematics with Applications
19 Discrete Dynamics in Nature and Society
17 Journal of Mathematical Biology
16 Mathematics of Computation
15 Journal of Differential Equations
15 Communications in Nonlinear Science and Numerical Simulation
14 Journal of Statistical Physics
14 Theoretical Computer Science
14 Numerical Algorithms
13 Journal of Economic Dynamics & Control
13 Journal of Mathematical Chemistry
12 Applied Mathematics Letters
11 Mathematical Biosciences
11 Economic Theory
10 Bulletin of Mathematical Biology
10 Discrete & Computational Geometry
10 Linear Algebra and its Applications
9 Communications in Mathematical Physics
9 Fuzzy Sets and Systems
9 Mathematical Problems in Engineering
9 Nonlinear Dynamics
9 Advances in Difference Equations
8 Israel Journal of Mathematics
8 Journal of Economic Theory
8 Journal of Mathematical Economics
8 Numerische Mathematik
8 Theoretical Population Biology
8 Discrete and Continuous Dynamical Systems
8 Nonlinear Analysis. Real World Applications
8 Foundations of Computational Mathematics
8 Discrete and Continuous Dynamical Systems. Series B
8 Journal of Systems Science and Complexity
7 Computing
7 Mathematical Programming
7 Proceedings of the Japan Academy. Series A
7 Applied Mathematics and Mechanics. (English Edition)
7 Journal of Complexity
7 Qualitative Theory of Dynamical Systems
6 Journal of Optimization Theory and Applications
6 Monatshefte für Mathematik
6 Advances in Applied Mathematics
6 Acta Applicandae Mathematicae
6 SIAM Journal on Matrix Analysis and Applications
6 Journal of Scientific Computing
6 Science in China. Series A
6 Mathematical Programming. Series A. Series B
6 Journal of High Energy Physics
6 Journal of Applied Mathematics
5 Rocky Mountain Journal of Mathematics
5 Archiv der Mathematik
5 Mathematische Zeitschrift
5 Economics Letters
5 Journal of Dynamics and Differential Equations
5 Abstract and Applied Analysis
5 Acta Mathematica Sinica. English Series
5 Journal of Dynamical and Control Systems
5 Dynamical Systems
5 Journal of Nonlinear Science and Applications
5 Science China. Mathematics
5 Journal of Computational Dynamics
4 International Journal of Control
4 International Journal of Systems Science
4 Journal of Computational Physics
4 Ukrainian Mathematical Journal
4 The Mathematical Intelligencer
4 Journal of Pure and Applied Algebra
4 Optimization
4 Annals of Operations Research
4 Japan Journal of Industrial and Applied Mathematics
4 International Journal of Computer Mathematics
4 Bulletin of the American Mathematical Society. New Series
4 Complexity
4 Journal of Dynamical Systems and Geometric Theories
3 Journal of the Franklin Institute
3 Journal of Mathematical Physics
3 Mathematical Notes
3 Advances in Mathematics
3 Annales de l’Institut Fourier
3 BIT
3 Journal of Approximation Theory
3 Journal of Functional Analysis
3 Kybernetes
3 Mathematica Slovaca
3 Semigroup Forum
...and 234 more Serials
all top 5

Cited in 55 Fields

849 Dynamical systems and ergodic theory (37-XX)
361 Numerical analysis (65-XX)
174 General topology (54-XX)
161 Ordinary differential equations (34-XX)
140 Biology and other natural sciences (92-XX)
133 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
114 Difference and functional equations (39-XX)
96 Real functions (26-XX)
95 Operator theory (47-XX)
94 Measure and integration (28-XX)
82 Operations research, mathematical programming (90-XX)
79 Systems theory; control (93-XX)
75 Computer science (68-XX)
69 Algebraic geometry (14-XX)
59 Probability theory and stochastic processes (60-XX)
48 Field theory and polynomials (12-XX)
43 Commutative algebra (13-XX)
41 Functions of a complex variable (30-XX)
37 Partial differential equations (35-XX)
33 Linear and multilinear algebra; matrix theory (15-XX)
33 Information and communication theory, circuits (94-XX)
31 Global analysis, analysis on manifolds (58-XX)
28 Mechanics of particles and systems (70-XX)
25 Number theory (11-XX)
21 Statistics (62-XX)
20 Mechanics of deformable solids (74-XX)
20 Fluid mechanics (76-XX)
20 Quantum theory (81-XX)
20 Statistical mechanics, structure of matter (82-XX)
17 Approximations and expansions (41-XX)
16 Calculus of variations and optimal control; optimization (49-XX)
14 Combinatorics (05-XX)
14 Convex and discrete geometry (52-XX)
12 Mathematical logic and foundations (03-XX)
10 Algebraic topology (55-XX)
9 History and biography (01-XX)
9 Functional analysis (46-XX)
7 Group theory and generalizations (20-XX)
7 Integral equations (45-XX)
6 General and overarching topics; collections (00-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Classical thermodynamics, heat transfer (80-XX)
5 Several complex variables and analytic spaces (32-XX)
5 Special functions (33-XX)
5 Manifolds and cell complexes (57-XX)
5 Optics, electromagnetic theory (78-XX)
5 Relativity and gravitational theory (83-XX)
3 Differential geometry (53-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Topological groups, Lie groups (22-XX)
2 Abstract harmonic analysis (43-XX)
2 Integral transforms, operational calculus (44-XX)
2 Geophysics (86-XX)
1 Associative rings and algebras (16-XX)
1 Mathematics education (97-XX)

Citations by Year

Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.