Yongge Tian

Computational Theory and Mathematics · 2000–2015

A researcher in the Science corpus: 14 papers; trusts 7 researchers and is trusted by 9 researchers here, as inferred from the citation graph.

Subfields

• Computational Theory and Mathematics — 20 citations into it; #4,026 of 12,182 by trust here, #4,059 by citations
• Algebra and Number Theory — 7 citations into it; #2,369 of 2,864 by trust here, #1,608 by citations
• Geometry and Topology — 7 citations into it; #5,590 of 7,422 by trust here, #5,748 by citations
• Numerical Analysis — 6 citations into it; #2,212 of 3,586 by trust here, #2,107 by citations
• Applied Mathematics — 5 citations into it; #3,696 of 7,620 by trust here, #3,410 by citations

Whom Yongge Tian trusts overall

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

1. Jerry J. Koliha
2. Leslie Hogben
3. Dennis S. Bernstein
4. Dragan S. Djordjevi'c
5. Dragana S. Cvetkovic-Ilic
6. B. Recht
7. Stephen P. Boyd
8. Maryam Fazel
9. Dijana Mosic
10. Shizhen Cheng

Who trusts Yongge Tian overall

1. Qing-Wen Wang
2. Zhuo-Heng He
3. Shizhen Cheng
4. Huasheng Zhang
5. Shifang Yuan
6. Osman Keçilioğlu
7. Jerry J. Koliha
8. Shao-Wen Yu
9. Douglas P. Wiens
10. G. Cerda-Morales

Papers from Yongge Tian's perspective

Ordered by how strongly the researchers Yongge Tian trusts endorse each paper. Same corpus, a different order for every researcher.

1. The Maximal and Minimal Ranks of Some Expressions of Generalized Inverses of Matrices
2. The solvability of two linear matrix equations
3. The maximal and minimal ranks of A − BXC with applications
4. Atomic Decomposition by Basis Pursuit
5. Stable signal recovery from incomplete and inaccurate measurements
6. Convex Optimization
7. Regression Shrinkage and Selection via the Lasso
8. © Institute of Mathematical Statistics, 2004 LEAST ANGLE REGRESSION
9. Exact Matrix Completion via Convex Optimization
10. Fast maximum margin matrix factorization for collaborative prediction

Their papers

• Rank equalities for idempotent and involutary matrices (2001) — 75 citations
• Ranks of Solutions of the Matrix Equation AXB = C (2003) — 48 citations
• Upper and lower bounds for ranks of matrix expressions using generalized inverses (2002) — 111 citations
• Maximization and minimization of the rank and inertia of the Hermitian matrix expression A — BX — (BX)* with applications (2011) — 60 citations
• The Maximal and Minimal Ranks of Some Expressions of Generalized Inverses of Matrices (2002) — 82 citations
• A new derivation of BLUPs under random-effects model (2015) — 68 citations
• Solving optimization problems on ranks and inertias of some constrained nonlinear matrix functions via an algebraic linearization method (2012) — 47 citations
• Characterizations of EP matrices and weighted-EP matrices (2011) — 54 citations
• Equalities and inequalities for inertias of hermitian matrices with applications (2010) — 119 citations
• Ranks of Hermitian and skew-Hermitian solutions to the matrix equation AXA∗=B (2009) — 47 citations
• On equality and proportionality of ordinary least squares, weighted least squares and best linear unbiased estimators in the general linear model (2006) — 51 citations
• The maximal and minimal ranks of A − BXC with applications (2003) — 82 citations
• The solvability of two linear matrix equations (2000) — 78 citations
• Matrix representations of octonions and their applications (2000) — 98 citations