Edit Profile (opens in new tab) Wang, Dingkang Co-Author Distance Author ID: wang.dingkang Published as: Wang, Dingkang; Wang, DingKang; Wang, Ding-Kang more...less Documents Indexed: 55 Publications since 1994, including 1 Additional arXiv Preprint 1 Contribution as Editor Co-Authors: 31 Co-Authors with 55 Joint Publications 1,944 Co-Co-Authors all top 5 Co-Authors 1 single-authored 24 Sun, Yao 14 Lu, Dong 12 Xiao, Fanghui 7 Kapur, Deepak 5 Ma, XiaoDong 5 Zhou, Jie 3 Chen, Xuefeng 3 Gao, Xiaoshan 3 Huang, Zhenyu 3 Lin, Dongdai 3 Wang, Hesong 2 Li, Banghe 2 Li, Peng 2 Lü, Zhuosheng 2 Monagan, Michael B. 2 Wang, Yusu 2 Xie, Fuding 2 Zhang, Yan 2 Zheng, Xiaopeng 1 Bai, Jian 1 Farouki, Rida T. 1 Li, Hongbo 1 Li, Ting 1 Lin, Long 1 Sidiropoulos, Anastasios 1 Wei, Jingjing 1 Wu, Wenjun 1 Yan, Wei 1 Yuan, Chunming 1 Zhang, Mei 1 Zhang, Yang all top 5 Serials 11 Journal of Systems Science and Complexity 6 Journal of Symbolic Computation 4 Science China. Mathematics 2 Journal of Systems Science and Mathematical Sciences 2 Multidimensional Systems and Signal Processing 1 Chaos, Solitons and Fractals 1 Journal of Geometry 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Mathematics in Practice and Theory 1 Journal of Automated Reasoning 1 Science in China. Series A 1 Finite Fields and their Applications 1 Mathematics in Computer Science 1 Acta Mathematica Sinica. Chinese Series 1 Science China. Information Sciences 1 Journal of Computational Geometry all top 5 Fields 34 Commutative algebra (13-XX) 34 Computer science (68-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 4 Numerical analysis (65-XX) 3 Field theory and polynomials (12-XX) 2 Mathematical logic and foundations (03-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Ordinary differential equations (34-XX) 2 Geometry (51-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Functional analysis (46-XX) 1 Statistics (62-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 43 Publications have been cited 175 times in 103 Documents Cited by ▼ Year ▼ A new algorithm for computing comprehensive Gröbner systems. Zbl 1321.68533 Kapur, Deepak; Sun, Yao; Wang, Dingkang 28 2010 An efficient algorithm for computing a comprehensive Gröbner system of a parametric polynomial system. Zbl 1255.13018 Kapur, Deepak; Sun, Yao; Wang, Dingkang 16 2013 An efficient method for computing comprehensive Gröbner bases. Zbl 1283.13024 Kapur, Deepak; Sun, Yao; Wang, Dingkang 13 2013 A generalized criterion for signature related Gröbner basis algorithms. Zbl 1323.68630 Sun, Yao; Wang, Dingkang 12 2011 Zero decomposition algorithms for systems of polynomial equations. Zbl 0981.65063 Wang, D. K. 10 2000 A signature-based algorithm for computing Gröbner bases in solvable polynomial algebras. Zbl 1308.68193 Sun, Yao; Wang, Dingkang; Ma, Xiaodong; Zhang, Yang 10 2012 The F5 algorithm in Buchberger’s style. Zbl 1339.68322 Sun, Yao; Wang, Dingkang 10 2011 A new proof for the correctness of the F5 algorithm. Zbl 1286.13026 Sun, Yao; Wang, DingKang 7 2013 A new algorithm for general factorizations of multivariate polynomial matrices. Zbl 1457.68328 Lu, Dong; Ma, Xiaodong; Wang, Dingkang 6 2017 An algorithm for transforming regular chain into normal chain. Zbl 1166.13300 Li, Banghe; Wang, Dingkang 5 2008 Computing comprehensive Gröbner systems and comprehensive Gröbner bases simultaneously. Zbl 1323.13004 Kapur, Deepak; Sun, Yao; Wang, Dingkang 4 2011 Further results on the factorization and equivalence for multivariate polynomial matrices. Zbl 07300088 Lu, Dong; Wang, Dingkang; Xiao, Fanghui 4 2020 A new branch Gröbner bases algorithm over Boolean ring. Zbl 1212.68450 Sun, Yao; Wang, Dingkang 4 2009 Automated reducible geometric theorem proving and discovery by Gröbner basis method. Zbl 1425.68383 Zhou, Jie; Wang, Dingkang; Sun, Yao 3 2017 On implementing the symbolic preprocessing function over Boolean polynomial rings in Gröbner basis algorithms using linear algebra. Zbl 1388.13057 Sun, Yao; Huang, Zhenyu; Lin, Dongdai; Wang, Dingkang 3 2016 An improvement over the GVW algorithm for inhomogeneous polynomial systems. Zbl 1370.13021 Sun, Yao; Huang, Zhenyu; Wang, Dingkang; Lin, Dongdai 3 2016 Proving geometric theorems by partitioned-parametric Gröbner bases. Zbl 1159.68550 Chen, Xuefeng; Li, Peng; Lin, Long; Wang, Dingkang 3 2006 On computing Gröbner bases in rings of differential operators. Zbl 1236.13010 Ma, Xiaodong; Sun, Yao; Wang, Dingkang 3 2011 Computing polynomial univariate representations of zero-dimensional ideals by Gröbner basis. Zbl 1272.13026 Ma, Xiaodong; Sun, Yao; Wang, Dingkang 3 2012 An algorithm for decomposing a polynomial system into normal ascending sets. Zbl 1148.68053 Wang, Dingkang; Zhang, Yan 3 2007 Zero decomposition theorems for counting the number of solutions for parametric equation systems. Zbl 1232.65078 Gao, Xiaoshan; Wang, Dingkang 3 2003 An efficient algorithm for computing parametric multivariate polynomial GCD. Zbl 1467.13047 Kapur, Deepak; Lu, Dong; Monagan, Michael; Sun, Yao; Wang, Dingkang 3 2018 Metric embeddings with outliers. Zbl 1411.68199 Sidiropoulos, Anastasios; Wang, Dingkang; Wang, Yusu 2 2017 Speeding up the GVW algorithm via a substituting method. Zbl 1417.68294 Li, Ting; Sun, Yao; Huang, Zhenyu; Wang, Dingkang; Lin, Dongdai 2 2019 A survey on algorithms for computing comprehensive Gröbner systems and comprehensive Gröbner bases. Zbl 1417.68295 Lu, Dong; Sun, Yao; Wang, Dingkang 2 2019 The solutions of Toda lattice and Volterra lattice. Zbl 1096.34552 Xie, Fuding; Lü, Zhuosheng; Wang, Dingkang 2 2006 An approach to directly construct exact solutions of nonlinear differential-difference equations. Zbl 1096.34501 Xie, Fuding; Wang, Dingkang; Lü, Zhuosheng 2 2005 An efficient algorithm for factoring polynomials over algebraic extension field. Zbl 1271.12007 Sun, Yao; Wang, Dingkang 2 2013 The projection of quasi variety and its application on geometric theorem proving and formula deduction. Zbl 1202.14052 Chen, XueFeng; Wang, DingKang 2 2004 Factorizations for a class of multivariate polynomial matrices. Zbl 1459.15014 Lu, Dong; Wang, Dingkang; Xiao, Fanghui 2 2020 Solving the perspective-three-point problem using comprehensive Gröbner systems. Zbl 1388.13059 Zhou, Jie; Wang, Dingkang 1 2016 The generalized Rabinowitsch trick. Zbl 1396.13025 Kapur, Deepak; Sun, Yao; Wang, Dingkang; Zhou, Jie 1 2017 On the algebraic surface-fitting problem in CAGD. Zbl 0838.68063 Wu, Wentsun; Wang, Dingkang 1 1994 Curve fitting and optimal interpolation on CNC machines based on quadratic B-splines. Zbl 1267.65015 Zhang, Mei; Yan, Wei; Yuan, Chunming; Wang, Dingkang; Gao, Xiaoshan 1 2011 Hilbert problem 15 and Ritt-Wu method. II. Zbl 1459.14020 Li, Banghe; Wang, Dingkang 1 2020 Solving multivariate polynomial matrix Diophantine equations with Gröbner basis method. Zbl 1483.11265 Xiao, Fanghui; Lu, Dong; Wang, Dingkang 1 2022 An extended GCD algorithm for parametric univariate polynomials and application to parametric Smith normal form. Zbl 07300103 Wang, Dingkang; Wang, Hesong; Xiao, Fanghui 1 2020 The implementation and complexity analysis of the branch Gröbner bases algorithm over Boolean ring. Zbl 1187.13022 Sun, Yao; Wang, Dingkang 1 2009 New results on the equivalence of bivariate polynomial matrices. Zbl 1512.15011 Zheng, Xiaopeng; Lu, Dong; Wang, Dingkang; Xiao, Fanghui 1 2023 On factor left prime factorization problems for multivariate polynomial matrices. Zbl 1473.15023 Lu, Dong; Wang, Dingkang; Xiao, Fanghui 1 2021 Extending the GVW algorithm to local ring. Zbl 1467.13049 Lu, Dong; Wang, Dingkang; Xiao, Fanghui; Zhou, Jie 1 2018 Algorithms for computing greatest common divisors of parametric multivariate polynomials. Zbl 1443.13023 Kapur, Deepak; Lu, Dong; Monagan, Michael; Sun, Yao; Wang, Dingkang 1 2021 On the construction of involutory MDS matrices over \(\mathbb{F}_{2^m}\). Zbl 1447.15028 Bai, Jian; Sun, Yao; Wang, Dingkang 1 2020 New results on the equivalence of bivariate polynomial matrices. Zbl 1512.15011 Zheng, Xiaopeng; Lu, Dong; Wang, Dingkang; Xiao, Fanghui 1 2023 Solving multivariate polynomial matrix Diophantine equations with Gröbner basis method. Zbl 1483.11265 Xiao, Fanghui; Lu, Dong; Wang, Dingkang 1 2022 On factor left prime factorization problems for multivariate polynomial matrices. Zbl 1473.15023 Lu, Dong; Wang, Dingkang; Xiao, Fanghui 1 2021 Algorithms for computing greatest common divisors of parametric multivariate polynomials. Zbl 1443.13023 Kapur, Deepak; Lu, Dong; Monagan, Michael; Sun, Yao; Wang, Dingkang 1 2021 Further results on the factorization and equivalence for multivariate polynomial matrices. Zbl 07300088 Lu, Dong; Wang, Dingkang; Xiao, Fanghui 4 2020 Factorizations for a class of multivariate polynomial matrices. Zbl 1459.15014 Lu, Dong; Wang, Dingkang; Xiao, Fanghui 2 2020 Hilbert problem 15 and Ritt-Wu method. II. Zbl 1459.14020 Li, Banghe; Wang, Dingkang 1 2020 An extended GCD algorithm for parametric univariate polynomials and application to parametric Smith normal form. Zbl 07300103 Wang, Dingkang; Wang, Hesong; Xiao, Fanghui 1 2020 On the construction of involutory MDS matrices over \(\mathbb{F}_{2^m}\). Zbl 1447.15028 Bai, Jian; Sun, Yao; Wang, Dingkang 1 2020 Speeding up the GVW algorithm via a substituting method. Zbl 1417.68294 Li, Ting; Sun, Yao; Huang, Zhenyu; Wang, Dingkang; Lin, Dongdai 2 2019 A survey on algorithms for computing comprehensive Gröbner systems and comprehensive Gröbner bases. Zbl 1417.68295 Lu, Dong; Sun, Yao; Wang, Dingkang 2 2019 An efficient algorithm for computing parametric multivariate polynomial GCD. Zbl 1467.13047 Kapur, Deepak; Lu, Dong; Monagan, Michael; Sun, Yao; Wang, Dingkang 3 2018 Extending the GVW algorithm to local ring. Zbl 1467.13049 Lu, Dong; Wang, Dingkang; Xiao, Fanghui; Zhou, Jie 1 2018 A new algorithm for general factorizations of multivariate polynomial matrices. Zbl 1457.68328 Lu, Dong; Ma, Xiaodong; Wang, Dingkang 6 2017 Automated reducible geometric theorem proving and discovery by Gröbner basis method. Zbl 1425.68383 Zhou, Jie; Wang, Dingkang; Sun, Yao 3 2017 Metric embeddings with outliers. Zbl 1411.68199 Sidiropoulos, Anastasios; Wang, Dingkang; Wang, Yusu 2 2017 The generalized Rabinowitsch trick. Zbl 1396.13025 Kapur, Deepak; Sun, Yao; Wang, Dingkang; Zhou, Jie 1 2017 On implementing the symbolic preprocessing function over Boolean polynomial rings in Gröbner basis algorithms using linear algebra. Zbl 1388.13057 Sun, Yao; Huang, Zhenyu; Lin, Dongdai; Wang, Dingkang 3 2016 An improvement over the GVW algorithm for inhomogeneous polynomial systems. Zbl 1370.13021 Sun, Yao; Huang, Zhenyu; Wang, Dingkang; Lin, Dongdai 3 2016 Solving the perspective-three-point problem using comprehensive Gröbner systems. Zbl 1388.13059 Zhou, Jie; Wang, Dingkang 1 2016 An efficient algorithm for computing a comprehensive Gröbner system of a parametric polynomial system. Zbl 1255.13018 Kapur, Deepak; Sun, Yao; Wang, Dingkang 16 2013 An efficient method for computing comprehensive Gröbner bases. Zbl 1283.13024 Kapur, Deepak; Sun, Yao; Wang, Dingkang 13 2013 A new proof for the correctness of the F5 algorithm. Zbl 1286.13026 Sun, Yao; Wang, DingKang 7 2013 An efficient algorithm for factoring polynomials over algebraic extension field. Zbl 1271.12007 Sun, Yao; Wang, Dingkang 2 2013 A signature-based algorithm for computing Gröbner bases in solvable polynomial algebras. Zbl 1308.68193 Sun, Yao; Wang, Dingkang; Ma, Xiaodong; Zhang, Yang 10 2012 Computing polynomial univariate representations of zero-dimensional ideals by Gröbner basis. Zbl 1272.13026 Ma, Xiaodong; Sun, Yao; Wang, Dingkang 3 2012 A generalized criterion for signature related Gröbner basis algorithms. Zbl 1323.68630 Sun, Yao; Wang, Dingkang 12 2011 The F5 algorithm in Buchberger’s style. Zbl 1339.68322 Sun, Yao; Wang, Dingkang 10 2011 Computing comprehensive Gröbner systems and comprehensive Gröbner bases simultaneously. Zbl 1323.13004 Kapur, Deepak; Sun, Yao; Wang, Dingkang 4 2011 On computing Gröbner bases in rings of differential operators. Zbl 1236.13010 Ma, Xiaodong; Sun, Yao; Wang, Dingkang 3 2011 Curve fitting and optimal interpolation on CNC machines based on quadratic B-splines. Zbl 1267.65015 Zhang, Mei; Yan, Wei; Yuan, Chunming; Wang, Dingkang; Gao, Xiaoshan 1 2011 A new algorithm for computing comprehensive Gröbner systems. Zbl 1321.68533 Kapur, Deepak; Sun, Yao; Wang, Dingkang 28 2010 A new branch Gröbner bases algorithm over Boolean ring. Zbl 1212.68450 Sun, Yao; Wang, Dingkang 4 2009 The implementation and complexity analysis of the branch Gröbner bases algorithm over Boolean ring. Zbl 1187.13022 Sun, Yao; Wang, Dingkang 1 2009 An algorithm for transforming regular chain into normal chain. Zbl 1166.13300 Li, Banghe; Wang, Dingkang 5 2008 An algorithm for decomposing a polynomial system into normal ascending sets. Zbl 1148.68053 Wang, Dingkang; Zhang, Yan 3 2007 Proving geometric theorems by partitioned-parametric Gröbner bases. Zbl 1159.68550 Chen, Xuefeng; Li, Peng; Lin, Long; Wang, Dingkang 3 2006 The solutions of Toda lattice and Volterra lattice. Zbl 1096.34552 Xie, Fuding; Lü, Zhuosheng; Wang, Dingkang 2 2006 An approach to directly construct exact solutions of nonlinear differential-difference equations. Zbl 1096.34501 Xie, Fuding; Wang, Dingkang; Lü, Zhuosheng 2 2005 The projection of quasi variety and its application on geometric theorem proving and formula deduction. Zbl 1202.14052 Chen, XueFeng; Wang, DingKang 2 2004 Zero decomposition theorems for counting the number of solutions for parametric equation systems. Zbl 1232.65078 Gao, Xiaoshan; Wang, Dingkang 3 2003 Zero decomposition algorithms for systems of polynomial equations. Zbl 0981.65063 Wang, D. K. 10 2000 On the algebraic surface-fitting problem in CAGD. Zbl 0838.68063 Wu, Wentsun; Wang, Dingkang 1 1994 all cited Publications top 5 cited Publications all top 5 Cited by 137 Authors 18 Wang, Dingkang 12 Sun, Yao 9 Nabeshima, Katsusuke 8 Hashemi, Amir 8 Li, Dongmei 8 Liu, Jinwang 8 Tajima, Shinichi 7 Lu, Dong 6 Huang, Zhenyu 6 Xiao, Fanghui 5 Lin, Dongdai 5 Wang, Dongming 5 Zheng, Licui 4 M.-Alizadeh, Benyamin 4 Recio, Tomas 3 Dehghani Darmian, Mahdi 3 Kapur, Deepak 3 Montes, Antonio 3 Mou, Chenqi 3 Zhou, Jie 2 Botana, Francisco 2 Dong, Rina 2 Feng, Ruyong 2 Fukasaku, Ryoya 2 Galkin, V. V. 2 Gao, Xiaoshan 2 Hofstadler, Clemens 2 Li, Banghe 2 Li, Xiaoliang 2 Liu, Weijun 2 Ma, XiaoDong 2 Sato, Yosuke 2 Seiler, Werner M. 2 Shang, Baoxin 2 Tang, Xiaoxian 2 Verron, Thibaut 2 Wu, Tao 2 Zhang, Shugong 2 Zheng, Xiaopeng 2 Zhou, Meng 1 Abánades, Miguel Angel 1 Akleylek, Sedat 1 Barkhordar, Marzieh 1 Basiri, Abdolali 1 Becker, Stephen R. 1 Brunat, Josep M. 1 Chen, Changbo 1 Chen, Shaoshi 1 Chen, Zhenghong 1 Cheng, Hong-Lu 1 Cheng, Jinsan 1 Dalzotto, Giorgio 1 Dickenstein, Alicia M. 1 Eder, Christian 1 Fan, Chenglin 1 Fan, Wei 1 Farahbakhsh Touli, Elena 1 Faugère, Jean-Charles 1 Fischler, Stéphane 1 Gao, Shuhong 1 Gerdt, Vladimir Petrovich 1 He, Yang-Hui Evariste 1 Hon, Yiu-Chung 1 Horigome, Noriyuki 1 Huang, GuanLi 1 Hubert, Evelyne 1 Inoue, Shutaro 1 Iwane, Hidenao 1 Izgin, Thomas 1 Kayal, Neeraj 1 Kovács, Zoltán 1 Kreuzer, Martin 1 Kurt Pehlivanoğlu, Meltem 1 Ladra González, Manuel 1 Laird, Lucas 1 Lairez, Pierre 1 Li, Hongbo 1 Li, Ting 1 Li, Zhe 1 Liu, Lanlan 1 Lladser, Manuel E. 1 Mehta, Dhagash 1 Menini, Laura 1 Mikawa, Masahiko 1 Millán, Mercedes Pérez 1 Monagan, Michael B. 1 Nair, Vineet 1 Niemerg, Matthew E. 1 Niu, Wei 1 Ohara, Katsuyoshi 1 Páez-Guillán, Pilar 1 Pan, Jian 1 Possieri, Corrado 1 Pourkhajouei, Samira 1 Rahkooy, Hamid 1 Rahmany, Sajjad 1 Raichel, Benjamin Adam 1 Riahi, Monireh 1 Rivoal, Tanguy 1 Robertz, Daniel ...and 37 more Authors all top 5 Cited in 34 Serials 26 Journal of Systems Science and Complexity 18 Journal of Symbolic Computation 10 Mathematics in Computer Science 4 Science China. Mathematics 3 Mathematics of Computation 2 Chaos, Solitons and Fractals 2 Journal of Automated Reasoning 1 Journal of the Franklin Institute 1 Mathematical Methods in the Applied Sciences 1 Moscow University Mathematics Bulletin 1 Bulletin of Mathematical Biology 1 Journal of Computational and Applied Mathematics 1 Journal of Mathematical Economics 1 Mathematics and Computers in Simulation 1 Mathematische Zeitschrift 1 Programming and Computer Software 1 Advances in Applied Mathematics 1 Bulletin of the Iranian Mathematical Society 1 Algorithmica 1 SIAM Journal on Discrete Mathematics 1 Computational Geometry 1 Applicable Algebra in Engineering, Communication and Computing 1 Computational Complexity 1 Finite Fields and their Applications 1 Computer Science Journal of Moldova 1 Revista Matemática Complutense 1 Discrete Dynamics in Nature and Society 1 Journal of High Energy Physics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Journal of Shanghai Jiaotong University (Science) 1 Science China. Information Sciences 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Open Mathematics 1 Electronic Research Archive all top 5 Cited in 30 Fields 65 Commutative algebra (13-XX) 60 Computer science (68-XX) 14 Algebraic geometry (14-XX) 9 Numerical analysis (65-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 7 Field theory and polynomials (12-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Ordinary differential equations (34-XX) 4 Geometry (51-XX) 4 Operations research, mathematical programming (90-XX) 4 Systems theory; control (93-XX) 3 Combinatorics (05-XX) 3 Number theory (11-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Associative rings and algebras (16-XX) 2 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Biology and other natural sciences (92-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year