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Zhi, Lihong

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Author ID: zhi.lihong Recent zbMATH articles by "Zhi, Lihong"
Published as: Zhi, L. H.; Zhi, Li-Hong; Zhi, LiHong; Zhi, Lihong
Documents Indexed: 65 Publications since 1997, including 2 Books

Publications by Year

Citations contained in zbMATH

43 Publications have been cited 277 times in 150 Documents Cited by Year
Approximate greatest common divisors of several polynomials with linearly constrained coefficients and singular polynomials. Zbl 1356.12011
Kaltofen, Erich; Yang, Zhengfeng; Zhi, Lihong
24
2006
\(QR\) factoring to compute the GCD of univariate approximate polynomials. Zbl 1372.65120
Corless, Robert M.; Watt, Stephen M.; Zhi, Lihong
24
2004
Exact certification in global polynomial optimization via sums-of-squares of rational functions with rational coefficients. Zbl 1229.90115
Kaltofen, Erich L.; Li, Bin; Yang, Zhengfeng; Zhi, Lihong
21
2012
Structures low rank approximation of a Sylvester matrix. Zbl 1117.65060
Kaltofen, Erich; Yang, Zhengfeng; Zhi, Lihong
21
2007
Approximate factorization of multivariate polynomials using singular value decomposition. Zbl 1135.12003
Kaltofen, Erich; May, John P.; Yang, Zhengfeng; Zhi, Lihong
17
2008
Approximate factorization of multivariate polynomials via differential equations. Zbl 1134.65346
Gao, Shuhong; Kaltofen, Erich; May, John; Yang, Zhengfeng; Zhi, Lihong
13
2004
Global optimization of polynomials using generalized critical values and sums of squares. Zbl 1321.90127
Guo, Feng; El Din, Mohab Safey; Zhi, Lihong
11
2010
Verified error bounds for isolated singular solutions of polynomial systems. Zbl 1310.65056
Li, Nan; Zhi, Lihong
9
2014
A complete symbolic-numeric linear method for camera pose determination. Zbl 1072.68626
Reid, Greg; Tang, Jianliang; Zhi, Lihong
9
2003
Displacement structure in computing approximate GCD of univariant polynomials. Zbl 1092.12003
Zhi, Lihong
9
2003
Pseudofactors of multivariate polynomials. Zbl 1326.68356
Huang, Yuzhen; Wu, Wenda; Stetter, Hans J.; Zhi, Lihong
9
2000
Computing the multiplicity structure of an isolated singular solution: case of breadth one. Zbl 1239.13038
Li, Nan; Zhi, Lihong
8
2012
Nearest singular polynomials. Zbl 0917.65055
Zhi, Lihong; Wu, Wenda
8
1998
Global optimization of polynomials restricted to a smooth variety using sums of squares. Zbl 1266.90148
Greuet, Aurélien; Guo, Feng; El Din, Mohab Safey; Zhi, Lihong
7
2012
Computing rational points in convex semialgebraic sets and sum of squares decompositions. Zbl 1279.90127
El Din, Mohab Safey; Zhi, Lihong
7
2010
Approximate gcds of polynomials and sparse SOS relaxations. Zbl 1156.90424
Li, Bin; Nie, Jiawang; Zhi, Lihong
7
2008
Verified error bounds for isolated singular solutions of polynomial systems: case of breadth one. Zbl 1291.65161
Li, Nan; Zhi, Lihong
6
2013
Computing isolated singular solutions of polynomial systems: case of breadth one. Zbl 1247.65065
Li, Nan; Zhi, Lihong
6
2012
Blind image deconvolution via fast approximate GCD. Zbl 1321.68442
Li, Zijia; Yang, Zhengfeng; Zhi, Lihong
6
2010
Computing the multiplicity structure from geometric involutive form. Zbl 1236.68302
Wu, Xiaoli; Zhi, Lihong
6
2008
A structured rank-revealing method for Sylvester matrix. Zbl 1140.65035
Li, Bingyu; Liu, Zhuojun; Zhi, Lihong
5
2008
Hybrid method for computing the nearest singular polynomials. Zbl 1138.65049
Zhi, Lihong; Noda, Matu-Tarow; Kai, Hiroshi; Wu, Wenda
5
2004
Verified error bounds for real solutions of positive-dimensional polynomial systems. Zbl 1360.65156
Yang, Zhengfeng; Zhi, Lihong; Zhu, Yijun
4
2013
Computing rational solutions of linear matrix inequalities. Zbl 1360.68934
Guo, Qingdong; Safey El Din, Mohab; Zhi, Lihong
4
2013
Solving polynomial systems via symbolic-numeric reduction to geometric involutive form. Zbl 1177.13065
Reid, Greg; Zhi, Lihong
4
2009
Computing the nearest singular univariate polynomials with given root multiplicities. Zbl 1291.65082
Li, Zijia; Zhi, Lihong
3
2013
Semidefinite representations of noncompact convex sets. Zbl 1314.52006
Guo, Feng; Wang, Chu; Zhi, Lihong
2
2015
Computing real solutions of polynomial systems via low-rank moment matrix completion. Zbl 1323.68615
Ma, Yue; Zhi, Lihong
2
2012
Certificates of impossibility of Hilbert-Artin representations of a given degree for definite polynomials and functions. Zbl 1323.65068
Guo, Feng; Kaltofen, Erich L.; Zhi, Lihong
2
2012
The minimum-rank Gram matrix completion via modified fixed point continuation method. Zbl 1323.65042
Ma, Yue; Zhi, Lihong
2
2011
Determination of approximate symmetries of differential equations. Zbl 1092.34018
Bonasia, J.; Lemaire, François; Reid, Greg; Scott, Robin; Zhi, Lihong
2
2005
Hybrid method for solving new pose estimation equation system. Zbl 1078.68787
Reid, Greg; Tang, Jianliang; Yu, Jianping; Zhi, Lihong
2
2005
Approximate GCD of multivariate polynomials. Zbl 1014.12011
Zhi, L. H.; Noda, M.-T.
2
2000
Numerical sparsity determination and early termination. Zbl 1365.65029
Hao, Zhiwei; Kaltofen, Erich L.; Zhi, Lihong
1
2016
A certificate for semidefinite relaxations in computing positive-dimensional real radical ideals. Zbl 1444.13036
Ma, Yue; Wang, Chu; Zhi, Lihong
1
2016
Determining singular solutions of polynomial systems via symbolic-numeric reduction to geometric involutive forms. Zbl 1237.13054
Wu, Xiaoli; Zhi, Lihong
1
2012
Computing the radius of positive semidefiniteness of a multivariate real polynomial via a dual of Seidenberg’s method. Zbl 1321.65077
Hutton, Sharon; Kaltofen, Erich L.; Zhi, Lihong
1
2010
A proof of the monotone column permanent (MCP) conjecture for dimension 4 via sums-of-squares of rational functions. Zbl 1356.15002
Kaltofen, Erich; Yang, Zhengfeng; Zhi, Lihong
1
2009
Geometric involutive bases and applications to approximate commutative algebra. Zbl 1191.13033
Scott, Robin; Reid, Greg; Wu, Wenyuan; Zhi, Lihong
1
2009
A fast algorithm for solving the Sylvester structured total least squares problem. Zbl 1186.94202
Li, Bingyu; Liu, Zhuojun; Zhi, Lihong
1
2007
Structured low rank approximation of a Bezout matrix. Zbl 1132.68073
Sun, Dongxia; Zhi, Lihong
1
2007
Symbolic-numeric computation. Invited and contributed presentations given at the international workshop (SNC 2005), Xi’an, China, July 19–21 (2005). Zbl 1106.65001
Wang, Dongming (ed.); Zhi, Li-Hong (ed.)
1
2007
Approximate GCD of multivariate polynomials. Zbl 0968.13508
Zhi, LiHong; Noda, M.-T.
1
2000
Numerical sparsity determination and early termination. Zbl 1365.65029
Hao, Zhiwei; Kaltofen, Erich L.; Zhi, Lihong
1
2016
A certificate for semidefinite relaxations in computing positive-dimensional real radical ideals. Zbl 1444.13036
Ma, Yue; Wang, Chu; Zhi, Lihong
1
2016
Semidefinite representations of noncompact convex sets. Zbl 1314.52006
Guo, Feng; Wang, Chu; Zhi, Lihong
2
2015
Verified error bounds for isolated singular solutions of polynomial systems. Zbl 1310.65056
Li, Nan; Zhi, Lihong
9
2014
Verified error bounds for isolated singular solutions of polynomial systems: case of breadth one. Zbl 1291.65161
Li, Nan; Zhi, Lihong
6
2013
Verified error bounds for real solutions of positive-dimensional polynomial systems. Zbl 1360.65156
Yang, Zhengfeng; Zhi, Lihong; Zhu, Yijun
4
2013
Computing rational solutions of linear matrix inequalities. Zbl 1360.68934
Guo, Qingdong; Safey El Din, Mohab; Zhi, Lihong
4
2013
Computing the nearest singular univariate polynomials with given root multiplicities. Zbl 1291.65082
Li, Zijia; Zhi, Lihong
3
2013
Exact certification in global polynomial optimization via sums-of-squares of rational functions with rational coefficients. Zbl 1229.90115
Kaltofen, Erich L.; Li, Bin; Yang, Zhengfeng; Zhi, Lihong
21
2012
Computing the multiplicity structure of an isolated singular solution: case of breadth one. Zbl 1239.13038
Li, Nan; Zhi, Lihong
8
2012
Global optimization of polynomials restricted to a smooth variety using sums of squares. Zbl 1266.90148
Greuet, Aurélien; Guo, Feng; El Din, Mohab Safey; Zhi, Lihong
7
2012
Computing isolated singular solutions of polynomial systems: case of breadth one. Zbl 1247.65065
Li, Nan; Zhi, Lihong
6
2012
Computing real solutions of polynomial systems via low-rank moment matrix completion. Zbl 1323.68615
Ma, Yue; Zhi, Lihong
2
2012
Certificates of impossibility of Hilbert-Artin representations of a given degree for definite polynomials and functions. Zbl 1323.65068
Guo, Feng; Kaltofen, Erich L.; Zhi, Lihong
2
2012
Determining singular solutions of polynomial systems via symbolic-numeric reduction to geometric involutive forms. Zbl 1237.13054
Wu, Xiaoli; Zhi, Lihong
1
2012
The minimum-rank Gram matrix completion via modified fixed point continuation method. Zbl 1323.65042
Ma, Yue; Zhi, Lihong
2
2011
Global optimization of polynomials using generalized critical values and sums of squares. Zbl 1321.90127
Guo, Feng; El Din, Mohab Safey; Zhi, Lihong
11
2010
Computing rational points in convex semialgebraic sets and sum of squares decompositions. Zbl 1279.90127
El Din, Mohab Safey; Zhi, Lihong
7
2010
Blind image deconvolution via fast approximate GCD. Zbl 1321.68442
Li, Zijia; Yang, Zhengfeng; Zhi, Lihong
6
2010
Computing the radius of positive semidefiniteness of a multivariate real polynomial via a dual of Seidenberg’s method. Zbl 1321.65077
Hutton, Sharon; Kaltofen, Erich L.; Zhi, Lihong
1
2010
Solving polynomial systems via symbolic-numeric reduction to geometric involutive form. Zbl 1177.13065
Reid, Greg; Zhi, Lihong
4
2009
A proof of the monotone column permanent (MCP) conjecture for dimension 4 via sums-of-squares of rational functions. Zbl 1356.15002
Kaltofen, Erich; Yang, Zhengfeng; Zhi, Lihong
1
2009
Geometric involutive bases and applications to approximate commutative algebra. Zbl 1191.13033
Scott, Robin; Reid, Greg; Wu, Wenyuan; Zhi, Lihong
1
2009
Approximate factorization of multivariate polynomials using singular value decomposition. Zbl 1135.12003
Kaltofen, Erich; May, John P.; Yang, Zhengfeng; Zhi, Lihong
17
2008
Approximate gcds of polynomials and sparse SOS relaxations. Zbl 1156.90424
Li, Bin; Nie, Jiawang; Zhi, Lihong
7
2008
Computing the multiplicity structure from geometric involutive form. Zbl 1236.68302
Wu, Xiaoli; Zhi, Lihong
6
2008
A structured rank-revealing method for Sylvester matrix. Zbl 1140.65035
Li, Bingyu; Liu, Zhuojun; Zhi, Lihong
5
2008
Structures low rank approximation of a Sylvester matrix. Zbl 1117.65060
Kaltofen, Erich; Yang, Zhengfeng; Zhi, Lihong
21
2007
A fast algorithm for solving the Sylvester structured total least squares problem. Zbl 1186.94202
Li, Bingyu; Liu, Zhuojun; Zhi, Lihong
1
2007
Structured low rank approximation of a Bezout matrix. Zbl 1132.68073
Sun, Dongxia; Zhi, Lihong
1
2007
Symbolic-numeric computation. Invited and contributed presentations given at the international workshop (SNC 2005), Xi’an, China, July 19–21 (2005). Zbl 1106.65001
Wang, Dongming (ed.); Zhi, Li-Hong (ed.)
1
2007
Approximate greatest common divisors of several polynomials with linearly constrained coefficients and singular polynomials. Zbl 1356.12011
Kaltofen, Erich; Yang, Zhengfeng; Zhi, Lihong
24
2006
Determination of approximate symmetries of differential equations. Zbl 1092.34018
Bonasia, J.; Lemaire, François; Reid, Greg; Scott, Robin; Zhi, Lihong
2
2005
Hybrid method for solving new pose estimation equation system. Zbl 1078.68787
Reid, Greg; Tang, Jianliang; Yu, Jianping; Zhi, Lihong
2
2005
\(QR\) factoring to compute the GCD of univariate approximate polynomials. Zbl 1372.65120
Corless, Robert M.; Watt, Stephen M.; Zhi, Lihong
24
2004
Approximate factorization of multivariate polynomials via differential equations. Zbl 1134.65346
Gao, Shuhong; Kaltofen, Erich; May, John; Yang, Zhengfeng; Zhi, Lihong
13
2004
Hybrid method for computing the nearest singular polynomials. Zbl 1138.65049
Zhi, Lihong; Noda, Matu-Tarow; Kai, Hiroshi; Wu, Wenda
5
2004
A complete symbolic-numeric linear method for camera pose determination. Zbl 1072.68626
Reid, Greg; Tang, Jianliang; Zhi, Lihong
9
2003
Displacement structure in computing approximate GCD of univariant polynomials. Zbl 1092.12003
Zhi, Lihong
9
2003
Pseudofactors of multivariate polynomials. Zbl 1326.68356
Huang, Yuzhen; Wu, Wenda; Stetter, Hans J.; Zhi, Lihong
9
2000
Approximate GCD of multivariate polynomials. Zbl 1014.12011
Zhi, L. H.; Noda, M.-T.
2
2000
Approximate GCD of multivariate polynomials. Zbl 0968.13508
Zhi, LiHong; Noda, M.-T.
1
2000
Nearest singular polynomials. Zbl 0917.65055
Zhi, Lihong; Wu, Wenda
8
1998
all top 5

Cited by 219 Authors

14 Zhi, Lihong
11 Winkler, Joab R.
8 Safey El Din, Mohab
6 Feng, Yong
5 Yang, Zhengfeng
4 Bourne, Martin
4 Galligo, André
4 Giesbrecht, Mark W.
4 Kaltofen, Erich L.
4 Mitrouli, Marilena
4 Szántó, Ágnes
4 Xiao, ShuiJing
4 Zeng, Guangxing
4 Zhang, Jingzhong
3 Chèze, Guillaume
3 Christou, Dimitrios
3 Faugère, Jean-Charles
3 Guo, Feng
3 Haraldson, Joseph
3 Hasan, Madina
3 Hauenstein, Jonathan D.
3 Labahn, George
3 Lao, Xin
3 Li, Zijia
3 Lin, Wang
3 Markovsky, Ivan
3 Nagasaka, Kosaku
3 Nie, Jiawang
3 Pérez-Díaz, Sonia
3 Qin, Xiaolin
3 Schost, Éric
3 Sekigawa, Hiroshi
3 Shen, Liyong
3 Su, Yi
3 Wu, Wenyuan
3 Zeng, Zhenbing
3 Zhang, Shugong
2 Belhaj, Skander
2 Chen, Jingwei
2 Cheng, Jinsan
2 Díaz-Toca, Gema María
2 Dou, Xiaojie
2 Giusti, Marc
2 Goluskin, David
2 Guglielmi, Nicola
2 Henrion, Didier
2 Jiang, Xue
2 Karcanias, Nicos
2 Li, Nan
2 Li, Zhe
2 Liang, Ye
2 Lichtblau, Daniel A.
2 Magron, Victor
2 Mourrain, Bernard
2 Naldi, Simone
2 Reid, Greg J.
2 Rueda, Sonia L.
2 Scheiderer, Claus
2 Schicho, Josef
2 Schröcker, Hans-Peter
2 Sendra, Juan Rafael
2 Sendra, Juana
2 Sommese, Andrew John
2 Spaenlehauer, Pierre-Jean
2 Terui, Akira
2 Triantafyllou, Dimitrios S.
2 Verschelde, Jan
2 Wang, Chu
2 Wu, Min
2 Xia, Bican
2 Yakoubsohn, Jean-Claude
2 Yang, Zhihong
2 Zeng, Zhonggang
1 Abbott, John A.
1 Adrovic, Danko
1 Allamigeon, Xavier
1 Allan, John D.
1 Anai, Hirokazu
1 Ayad, A. M.
1 Ayala, Victor
1 Ayyildiz Akoglu, Tulay
1 Ba, Thang Luu
1 Bank, Bernd
1 Batselier, Kim
1 Blekherman, Grigoriy
1 Burgdorf, Sabine
1 Cafuta, Kristijan
1 Chen, Falai
1 Chen, Wensheng
1 Chernyshenko, Sergei I.
1 Corbineau, Pierre
1 Dai, Liyun
1 Dayton, Barry H.
1 De Moor, Bart L. R.
1 de Wolff, Timo
1 Dezuo, Tiago J. M.
1 Diop, Sette
1 Dolgov, Dmitri A.
1 Dreesen, Philippe
1 Dressler, Mareike
...and 119 more Authors
all top 5

Cited in 49 Serials

36 Journal of Symbolic Computation
17 Journal of Computational and Applied Mathematics
15 Theoretical Computer Science
9 Journal of Systems Science and Complexity
5 Numerical Algorithms
4 Linear Algebra and its Applications
4 Foundations of Computational Mathematics
3 Journal of Complexity
3 Journal of Global Optimization
3 Mathematical Programming. Series A. Series B
3 Mathematics in Computer Science
2 Mathematics of Computation
2 Journal of Mathematical Imaging and Vision
2 Computational Optimization and Applications
2 Science China. Mathematics
1 Applied Mathematics and Computation
1 BIT
1 Calcolo
1 Journal of Algebra
1 Journal of Computer and System Sciences
1 Mathematische Zeitschrift
1 SIAM Journal on Numerical Analysis
1 Computer Aided Geometric Design
1 Applied Numerical Mathematics
1 Discrete & Computational Geometry
1 Science in China. Series A
1 Japan Journal of Industrial and Applied Mathematics
1 International Journal of Computer Mathematics
1 Pattern Recognition
1 Computational Statistics and Data Analysis
1 International Journal of Robust and Nonlinear Control
1 SIAM Journal on Optimization
1 Journal of Nonlinear Science
1 Formal Methods in System Design
1 SIAM Journal on Scientific Computing
1 Journal of Mathematical Sciences (New York)
1 Abstract and Applied Analysis
1 Journal of the European Mathematical Society (JEMS)
1 Lobachevskii Journal of Mathematics
1 SIAM Journal on Applied Dynamical Systems
1 Science China. Information Sciences
1 ISRN Computational Mathematics
1 Frontiers of Computer Science
1 Axioms
1 Mathematics
1 Special Matrices
1 Open Mathematics
1 SIAM Journal on Applied Algebra and Geometry
1 Annales Henri Lebesgue

Citations by Year