Zhuo-Heng He

Computational Theory and Mathematics · 2012–2017

A researcher in the Science corpus: 7 papers; trusts 13 researchers and is trusted by 4 researchers here, as inferred from the citation graph.

Subfields

• Computational Theory and Mathematics — 57 citations into it; #5,241 of 12,182 by trust here, #4,199 by citations
• Applied Mathematics — 34 citations into it; #3,792 of 7,620 by trust here, #2,707 by citations
• Algebra and Number Theory — 23 citations into it
• Numerical Analysis — 18 citations into it; #2,664 of 3,586 by trust here, #1,968 by citations
• Statistical and Nonlinear Physics — 8 citations into it; #8,342 of 10,127 by trust here, #7,402 by citations
• Control and Systems Engineering — 6 citations into it
• Signal Processing — 6 citations into it
• Geometry and Topology — 5 citations into it; #5,840 of 7,422 by trust here, #4,440 by citations

Whom Zhuo-Heng He trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Qing-Wen Wang
2. Roger A. Horn
3. Fuzhen Zhang
4. Leiba Rodman
5. Yongge Tian
6. Qingxiang Xu
7. N. Le Bihan
8. Mehdi Dehghan
9. Yunong Zhang
10. Shifang Yuan

Who trusts Zhuo-Heng He overall

1. Ivan Kyrchei
2. Jianzhen Liu
3. Qing-Wen Wang
4. Tin-Yau Tam

Papers from Zhuo-Heng He's perspective

Ordered by how strongly the researchers Zhuo-Heng He trusts endorse each paper. Same corpus, a different order for every researcher.

1. The solvability of two linear matrix equations
2. Ranks and the least-norm of the general solution to a system of quaternion matrix equations
3. A generalization of the complex Autonne–Takagi factorization to quaternion matrices
4. Maximization and minimization of the rank and inertia of the Hermitian matrix expression A — BX — (BX)* with applications
5. Consistency for bi(skew)symmetric solutions to systems of generalized Sylvester equations over a finite central algebra
6. Topics in Quaternion Linear Algebra
7. Two-sided coupled generalized Sylvester matrix equations solving using a simultaneous decomposition for fifteen matrices
8. On solutions of the matrix equations X−AXB=C and X−AXB=C
9. The maximal and minimal ranks of A − BXC with applications
10. On left eigenvalues of a quaternionic matrix

Their papers

• A real quaternion matrix equation with applications (2013) — 92 citations
• Two-sided coupled generalized Sylvester matrix equations solving using a simultaneous decomposition for fifteen matrices (2016) — 71 citations
• The general solutions to some systems of matrix equations (2015) — 62 citations
• The η-bihermitian solution to a system of real quaternion matrix equations (2014) — 52 citations
• Some matrix equations with applications† (2012) — 65 citations
• A System of Periodic Discrete-time Coupled Sylvester Quaternion Matrix Equations (2017) — 55 citations
• The general $\phi$-Hermitian solution to mixed pairs of quaternion matrix Sylvester equations (2017) — 56 citations