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2020 – today
- 2024
[j46]Yongge Tian
:
Some New Algebraic Method Developments in the Characterization of Matrix Equalities. Axioms 13(10): 657 (2024)- 2022
- [j45]Yongge Tian:
Characterizations of Matrix Equalities for Generalized Inverses of Matrix Products. Axioms 11(6): 291 (2022) - [j44]Bo Jiang, Yongge Tian, Ruixia Yuan:
On Relationships between a Linear Matrix Equation and Its Four Reduced Equations. Axioms 11(9): 440 (2022) - [j43]Yongge Tian:
A study of range equalities for mixed products of two matrices and their generalized inverses. Comput. Appl. Math. 41(8) (2022) - 2020
- [j42]Yongge Tian:
Two groups of mixed reverse order laws for generalized inverses of two and three matrix products. Comput. Appl. Math. 39(3) (2020) - [j41]Shengjun Gan, Changli Lu, Yongge Tian:
Computation and comparison of estimators under different linear random-effects models. Commun. Stat. Simul. Comput. 49(5): 1210-1222 (2020)
2010 – 2019
- 2017
- [j40]Bo Jiang, Yongge Tian:
Rank/inertia approaches to weighted least-squares solutions of linear matrix equations. Appl. Math. Comput. 315: 400-413 (2017) - [j39]Yongge Tian, Bo Jiang:
Quadratic properties of least-squares solutions of linear matrix equations with statistical applications. Comput. Stat. 32(4): 1645-1663 (2017) - [j38]Bo Jiang, Yongge Tian:
On additive decompositions of estimators under a multivariate general linear model and its two submodels. J. Multivar. Anal. 162: 193-214 (2017) - [j37]Yongge Tian:
Transformation approaches of linear random-effects models. Stat. Methods Appl. 26(4): 583-608 (2017) - 2016
- [j36]Yongge Tian, Bo Jiang:
Equalities for estimators of partial parameters under linear model with restrictions. J. Multivar. Anal. 143: 299-313 (2016) - [j35]Yongge Tian, Wenxing Guo:
On comparison of dispersion matrices of estimators under a constrained linear model. Stat. Methods Appl. 25(4): 623-649 (2016) - 2014
- [j34]Baomin Dong, Wenxing Guo, Yongge Tian:
On relations between BLUEs under two transformed linear models. J. Multivar. Anal. 131: 279-292 (2014) - 2013
- [j33]Yongge Tian, Hongxing Wang:
Relations between least-squares and least-rank solutions of the matrix equation AXB=CAXB=C. Appl. Math. Comput. 219(20): 10293-10301 (2013) - [j32]Yonghui Liu, Yongge Tian:
Hermitian-type generalized singular value decomposition with applications. Numer. Linear Algebra Appl. 20(1): 60-73 (2013) - [j31]Yongge Tian:
Least-squares solutions and least-rank solutions of the matrix equation AXA* = B and their relations. Numer. Linear Algebra Appl. 20(5): 713-722 (2013) - [i1]Yongge Tian:
How to solve three fundamental linear matrix inequalities in the Löwner partial ordering. CoRR abs/1301.6752 (2013) - 2012
- [j30]Yongge Tian:
Solutions to 18 constrained optimization problems on the rank and inertia of the linear matrix function A+BXB*. Math. Comput. Model. 55(3-4): 955-968 (2012) - 2011
- [j29]Yongge Tian:
Relations between matrix sets generated from linear matrix expressions and their applications. Comput. Math. Appl. 61(6): 1493-1501 (2011) - [j28]Yonghui Liu, Yongge Tian:
Max-Min Problems on the Ranks and Inertias of the Matrix Expressions A-BXC±(BXC)∗ with Applications. J. Optim. Theory Appl. 148(3): 593-622 (2011) - [j27]Yonghui Liu, Yongge Tian:
A simultaneous decomposition of a matrix triplet with applications. Numer. Linear Algebra Appl. 18(1): 69-85 (2011) - 2010
- [j26]Yongge Tian, Chunmei Liu:
Some equalities for estimations of variance components in a general linear model and its restricted and transformed models. J. Multivar. Anal. 101(9): 1959-1969 (2010)
2000 – 2009
- 2009
- [j25]Yongge Tian:
Approximation and continuity of Moore-Penrose inverses of orthogonal row block matrices. Appl. Math. Comput. 210(1): 18-25 (2009) - [j24]Yongge Tian, Yoshio Takane:
The inverse of any two-by-two nonsingular partitioned matrix and three matrix inverse completion problems. Comput. Math. Appl. 57(8): 1294-1304 (2009) - [j23]Yongge Tian:
Estimations and Optimal Designs for Two-Dimensional Haar-Wavelet Regression Models. Int. J. Wavelets Multiresolution Inf. Process. 7(3): 281-297 (2009) - [j22]Yongge Tian:
Some properties of submatrices in a solution to the matrix equation AXB=C with applications. J. Frankl. Inst. 346(6): 557-569 (2009) - [j21]Yongge Tian:
On an additive decomposition of the BLUE in a multiple-partitioned linear model. J. Multivar. Anal. 100(4): 767-776 (2009) - [j20]Yongge Tian:
Problem 11466. Am. Math. Mon. 116(9): 845 (2009) - 2008
- [j19]Yonghui Liu, Yongge Tian:
More on extremal ranks of the matrix expressions A - BX ± X*B* with statistical applications. Numer. Linear Algebra Appl. 15(4): 307-325 (2008) - 2007
- [j18]Yongge Tian, Eugene A. Herman:
Matrix Systems with the Same Sets: 11146. Am. Math. Mon. 114(3): 264 (2007) - 2006
- [j17]Yongge Tian, Agnes M. Herzberg:
A-minimax and D-minimax robust optimal designs for approximately linear Haar-wavelet models. Comput. Stat. Data Anal. 50(10): 2942-2951 (2006) - [j16]Yongge Tian, Yonghui Liu:
Extremal Ranks of Some Symmetric Matrix Expressions with Applications. SIAM J. Matrix Anal. Appl. 28(3): 890-905 (2006) - [j15]Yongge Tian:
On the Inverse of a Product of Orthogonal Projectors: 11112. Am. Math. Mon. 113(5): 467-468 (2006) - [j14]Yongge Tian, Robin Chapman:
Inequalities Involving Rank and Kronecker Product: 11129. Am. Math. Mon. 113(9): 851 (2006) - 2005
- [j13]Yongge Tian:
Problem 11129. Am. Math. Mon. 112(1): 88 (2005) - [j12]Yongge Tian:
Problem 11146. Am. Math. Mon. 112(4): 366 (2005) - [j11]Yongge Tian, et al.:
Range Identities for Hermitian Idempotent Matrices: 11040. Am. Math. Mon. 112(6): 573 (2005) - 2004
- [j10]Yongge Tian:
Using rank formulas to characterize equalities for Moore-Penrose inverses of matrix products. Appl. Math. Comput. 147(2): 581-600 (2004) - [j9]Jianjun Chuai, Yongge Tian:
Rank equalities and inequalities for Kronecker products of matrices with applications. Appl. Math. Comput. 150(1): 129-137 (2004) - [j8]Yongge Tian:
More on maximal and minimal ranks of Schur complements with applications. Appl. Math. Comput. 152(3): 675-692 (2004) - [j7]Yongge Tian:
On mixed-type reverse-order laws for the Moore-Penrose inverse of a matrix product. Int. J. Math. Math. Sci. 2004(58): 3103-3116 (2004) - [j6]Yongge Tian, Carl Dean Meyer:
Injective Properties of Complex Matrices: 10984. Am. Math. Mon. 111(8): 728 (2004) - [j5]Yongge Tian:
Problem 11112. Am. Math. Mon. 111(9): 822 (2004) - 2003
- [j4]Yongge Tian:
Problem 10984. Am. Math. Mon. 110(1): 58 (2003) - [j3]Yongge Tian:
Problem 11040. Am. Math. Mon. 110(9): 843 (2003) - 2002
- [j2]Yongge Tian, David W. Carter:
Squashing a Matrix by Adding an Imaginary Part: 10776. Am. Math. Mon. 109(3): 300 (2002) - 2000
- [j1]Yongge Tian:
Problem 10776. Am. Math. Mon. 107(1): 83 (2000)
Coauthor Index
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