Shugong Zhang

Generating author description...

All published works

Action	Title	Year	Authors
+	On the Univariate Vector-Valued Rational Interpolation and Recovery Problems	2024	Lixia Xiao Peng Xia Shugong Zhang
+ PDF Chat	A Preconditioner for Galerkin–Legendre Spectral All-at-Once System from Time-Space Fractional Diffusion Equation	2023	Meijuan Wang Shugong Zhang
+	The Discrete Approximation Problem for a Special Case of Hermite-Type Polynomial Interpolation	2022	Yihe Gong Xue Jiang Shugong Zhang
+	Computing PUR of Zero-Dimensional Ideals of Breadth at Most One	2021	Jian Zhong Pan Baoxin Shang Zhe Li Shugong Zhang
+	A simplified rational representation for positive-dimensional polynomial systems and SHEPWM equations solving	2017	Baoxin Shang Shugong Zhang Chang Tan Peng Xia
+	Error Formulas for Lagrange Projectors Determined by Cartesian Sets	2017	Zhe Li Shugong Zhang Tian Dong Yihe Gong
+	The Convergence Conditions of Interval Newton’s Method Based on Point Estimates	2017	Zhe Li Baocheng Wan Shugong Zhang
+	An algorithm for the discretization of an ideal projector	2016	Xue Jiang Shugong Zhang Zhe Li
+ PDF Chat	Homotopy method for a class of multiobjective optimization problems with equilibrium constraints	2016	Chun-Yang Zhang Shugong Zhang Qinghuai Liu
+	The equivalent representation of the breadth-one D-invariant polynomial subspace and its discretization	2016	Xue Jiang Shugong Zhang
+	On the Structure of Error Formulas for Ideal Interpolation	2015	Yihe Gong Xue Jiang Zhe Li Shugong Zhang
+	Error Formulas for Ideal Interpolation	2015	Yihe Gong Xue Jiang Zhe Li Shugong Zhang
+	A "nearly parametric" solution to Selective Harmonic Elimination PWM	2015	Baoxin Shang Shugong Zhang Na Lei Jingyi Chen
+	The Breadth-one $D$-invariant Polynomial Subspace	2014	Xue Jiang Shugong Zhang
+	On the Nonlinear Matrix Equation X + Af1(X)A + Bf2(X)B = Q	2013	Haifeng Sang Panpan Liu Shugong Zhang Qing-Chun Li
+	Newton’s method for solving a class of nonlinear matrix equations	2013	Panpan Liu Shugong Zhang
+ PDF Chat	On the Positive Definite Solutions of a Nonlinear Matrix Equation	2013	Panpan Liu Shugong Zhang Qingchun Li
+	Homopoty Interior Point Method for Solving Multiobjective Programming Problem	2013	Shugong Zhang
+ PDF Chat	The Discretization for a Special Class of Ideal Projectors	2012	Zhe Li Shugong Zhang Tian Dong
+	Homopoty Method for Solving Multiobjective Programming Problem under Weak Quasi-normal Cone Condition	2012	Shugong Zhang
+	A Fitzpatrick algorithm for multivariate rational interpolation	2011	Peng Xia Shugong Zhang Na Lei
+ PDF Chat	FINITE SETS OF AFFINE POINTS WITH UNIQUE ASSOCIATED MONOMIAL ORDER QUOTIENT BASES	2011	Zhe Li Shugong Zhang Tian Dong
+	On the existence of certain error formulas for a special class of ideal projectors	2011	Zhe Li Shugong Zhang Tian Dong
+	Ideal Projectors of Type Partial Derivative and Their Perturbations	2011	Zhe Li Shugong Zhang Tian Dong
+	On a C. de Boor's Conjecture in a Particular Case and Related Perturbation	2011	Zhe Li Shugong Zhang Tian Dong
+	Hermite Positive Definite Solution of a Class of Matrix Equation	2011	Panpan Liu Shugong Zhang Qingchun Li
+	Fitzpatrick Algorithm for Multivariate Rational Interpolation	2011	Peng Xia Shugong Zhang Na Lei
+	On existence of certain error formulas for a special class of ideal projectors	2011	Zhe Li Shugong Zhang Tian Dong
+	Finite Sets of Affine Points with Unique Associated Monomial Order Quotient Bases	2011	Zhe Li Shugong Zhang Tian Dong
+	Stable Border Bases for Ideals of Numerical Cartesian Sets	2011	Lili Liu Li Zhe Shugong Zhang
+ PDF Chat	A bivariate preprocessing paradigm for the Buchberger–Möller algorithm	2010	Xiaoying Wang Shugong Zhang Tian Dong
+	Bivariate Lagrange Interpolation on Tower Interpolation Sites	2010	Tian Dong Tao Chen Shugong Zhang Xiaoying Wang
+	Bivariate Quasi-Tower Sets and Their Associated Lagrange Interpolation Bases	2010	Tian Dong Xiaoying Wang Shugong Zhang Peng Li
+	A Bivariate Preprocessing Paradigm for Buchberger-Möller Algorithm	2010	Xiaoying Wang Shugong Zhang Tian Dong
+	Formulae for Arithmetic on Genus 3 Hyperelliptic Curves	2009	Shugong Zhang
+	Hyperfinite interpolation, Wu’s Method and blending of implicit algebraic surfaces	1999	Shugong Zhang Ren Hongju
+	The multiplicity of zeros of algebraic system in eigenvalue method	1999	Shugong Zhang Ying Liu Guochen Feng
+	A Clifford Algebraic Method for Geometric Reasoning	1999	Haiquan Yang Shugong Zhang Guochen Feng

Common Coauthors

Coauthor	Papers Together
Tian Dong	11
Zhe Li	7
Xue Jiang	6
Yihe Gong	4
Panpan Liu	4
Na Lei	3
Baoxin Shang	3
Zhe Li	2
Peng Xia	2
Qingchun Li	2
Xiaoying Wang	2
Xiaoying Wang	2
Zhe Li	2
Peng Xia	2
Guochen Feng	2
Lixia Xiao	1
Jian Zhong Pan	1
Baocheng Wan	1
Ren Hongju	1
Qing-Chun Li	1
Tian Dong	1
Tao Chen	1
Haifeng Sang	1
Qinghuai Liu	1
Chang Tan	1
Chun-Yang Zhang	1
Meijuan Wang	1
Lili Liu	1
Jingyi Chen	1
Zhe Li	1
Zhe Li	1
Peng Li	1
Ying Liu	1
Li Zhe	1
Haiquan Yang	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Ideal Interpolation: Translations to and from Algebraic Geometry	2009	Boris Shekhtman	11
+	Gr�bner bases of ideals defined by functionals with an application to ideals of projective points	1993	Maria Grazia Marinari H. Michael M�ller Teo Mora	8
+	On a Conjecture of Carl de Boor Regarding the Limits of Lagrange Interpolants	2006	Boris Shekhtman	8
+ PDF Chat	Lagrange interpolation on subgrids of tensor product grids	2003	Thomas Sauer	7
+	On the Limits of Lagrange Projectors	2008	Boris Shekhtman	6
+	The lex game and some applications	2006	Bálint Felszeghy Balázs Ráth Lajos Rónyai	5
+	From algebraic sets to monomial linear bases by means of combinatorial algorithms	1995	Luigi Cerlienco Marina Mureddu	5
+	On multivariate Hermite interpolation	1995	Thomas Sauer Yuan Xu	5
+	On the pointwise limits of bivariate lagrange projectors	2008	Carl de Boor Boris Shekhtman	5
+	Solving Zero-Dimensional Systems Through the Rational Univariate Representation	1999	Fabrice Rouillier	4
+	On the existence of certain error formulas for a special class of ideal projectors	2011	Zhe Li Shugong Zhang Tian Dong	4
+	The Error in Polynomial Tensor-Product, and Chung-Yao, Interpolation	2009	Carl de Boor	4
+	The Error in Linear Interpolation at the Vertices of a Simplex	1998	Shayne Waldron	4
+	A Modular Method to Compute the Rational Univariate Representation of Zero-dimensional Ideals	1999	Masayuki Noro Kazuhiro Yokoyama	3
+	Bivariate ideal projectors and their perturbations	2007	Boris Shekhtman	3
+	Computing the multiplicity structure of an isolated singular solution: Case of breadth one	2011	Nan Li Lihong Zhi	3
+	MULTIVARIATE BIRKHOFF-LAGRANGE INTERPOLATION SCHEMES AND CARTESIAN SETS OF NODES	2004	Nicolae Crainic	3
+	Computing the multiplicity structure in solving polynomial systems	2005	Barry H. Dayton Zhonggang Zeng	3
+	Algebraic Families on an Algebraic Surface	1968	John Fogarty	3
+ PDF Chat	Note on osculatory rational interpolation	1962	Herbert E. Salzer	2
+	Graduate Texts in Mathematics	1977	Rajendra Bhatia Glen Bredon Wolfgang Walter Joseph Rotman M. Ram Murty Jane Gilman Peter Walters Martin Golubitsky Ioannis Karatzas Henri Cohen	2
+	Multiple zeros of nonlinear systems	2011	Barry H. Dayton Tien-Yien Li Zhonggang Zeng	2
+	Nonlinear Approximation Theory	1986	Dietrich Braess	2
+ PDF Chat	The Discretization for a Special Class of Ideal Projectors	2012	Zhe Li Shugong Zhang Tian Dong	2
+	On positive definite solutions of the nonlinear matrix equation X+A★X−nA=I	2003	Salah M. El‐Sayed Asmaa M. Al-Dbiban	2
+	Polynomial Interpolation in Several Variables	1994	Carl de Boor	2
+	A useful identity for the rational Hermite interpolation table	1978	G. Claessens	2
+ PDF Chat	A bivariate preprocessing paradigm for the Buchberger–Möller algorithm	2010	Xiaoying Wang Shugong Zhang Tian Dong	2
+	On branched continued fractions rational interpolation over pyramid-typed grids	2009	Ren-Hong Wang Jiang Qian	2
+	Computing polynomial univariate representations of zero-dimensional ideals by Gröbner basis	2012	Xiaodong Ma Yao Sun Dingkang Wang	2
+	On the positive definite solutions of the matrix equations Xs±ATX−tA=In	2003	Xinguo Liu Hua Gao	2
+	On the nonlinear matrix equation X+A∗F(X)A=Q: solutions and perturbation theory	2002	André C. M. Ran Martine Reurings	2
+	On positive definite solutions of the family of matrix equations <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si21.gif" overflow="scroll"><mml:mi>X</mml:mi><mml:mo>+</mml:mo><mml:msup><mml:mrow><mml:mi>A</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup><mml:msup><mml:mrow><mml:mi>X</mml:mi></mml:mrow><mml:mrow><mml:mo>-</mml:mo><mml:mi>n</mml:mi></mml:mrow></mml:msup><mml:mi>A</mml:mi><mml:mo>=</mml:mo><mml:mi>Q</mml:mi></mml:math>	2005	Ivan Ivanov	2
+	The iterative method for solving nonlinear matrix equation Xs+A∗X−tA=Q	2006	Yueting Yang	2
+	Iterative methods for nonlinear matrix equations X+A⋆X−αA=I	2005	Salah M. El‐Sayed Milko G. Petkov	1
+	Computing Ideals of Points	2000	John Abbott Anna Maria Bigatti Martin Kreuzer Lorenzo Robbiano	1
+	Newton’s Method Estimates from Data at One Point	1986	Steve Smale	1
+	On two perturbation estimates of the extreme solutions to the equations X±A*X−1A=Q	2005	Vejdi I. Hasanov Ivan Ivanov	1
+	On an Iteration Method for Solving a Class of Nonlinear Matrix Equations	2002	Salah M. El‐Sayed André C. M. Ran	1
+	Nonlinear Numerical Methods and Rational Approximation	1988	Annie Cuyt	1
+	Topological Methods in Euclidean Spaces	1980	Gregory L. Naber	1
+ PDF Chat	An Implementable Active-Set Algorithm for Computing a B-Stationary Point of a Mathematical Program with Linear Complementarity Constraints	2002	Masao Fukushima Paul Tseng	1
+ PDF Chat	Finding zeroes of maps: homotopy methods that are constructive with probability one	1978	S.N. Chow John Mallet‐Paret James A. Yorke	1
+	Clifford Term Rewriting for Geometric Reasoning in 3D	1999	Thierry Boy de la Tour Stéphane Fèvre Dongming Wang	1
+ PDF Chat	Necessary and sufficient conditions for the existence of a positive definite solution of the matrix equation X +A∗X-1A = Q	1993	Jacob Engwerda André C. M. Ran Arie L. Rijkeboer	1
+	On Location and Approximation of Clusters of Zeros of Analytic Functions	2005	M Giusti Grégoire Lecerf Bruno Salvy Jean-Claude Yakoubsohn	1
+	Legendre–Gauss collocation methods for ordinary differential equations	2008	Ben‐yu Guo Zhongqing Wang	1
+	Error estimates for Miller's algorithm	1976	R.M.M. Mattheij A. van der Sluis	1
+	A smoothing homotopy method for variational inequality problems on polyhedral convex sets	2013	Zhengyong Zhou Bo Yu	1
+	Gröbner Bases: A Computational Approach to Commutative Algebra	2011	Thomas Becker Volker Weispfenning Heinz Kredel	1