Yongge Tian

According to our database, Yongge Tian authored at least 47 papers between 2000 and 2024.

Collaborative distances:

• Dijkstra number of five.
• Erdős number of four.

2024

Some New Algebraic Method Developments in the Characterization of Matrix Equalities.

Yongge Tian

Axioms, 2024

2022

A study of range equalities for mixed products of two matrices and their generalized inverses.

Yongge Tian

Comput. Appl. Math., December, 2022

Characterizations of Matrix Equalities for Generalized Inverses of Matrix Products.

Yongge Tian

Axioms, 2022

On Relationships between a Linear Matrix Equation and Its Four Reduced Equations.

Bo Jiang, Yongge Tian, Ruixia Yuan

Axioms, 2022

2020

Computation and comparison of estimators under different linear random-effects models.

Shengjun Gan, Changli Lu, Yongge Tian

Commun. Stat. Simul. Comput., 2020

Two groups of mixed reverse order laws for generalized inverses of two and three matrix products.

Yongge Tian

Comput. Appl. Math., 2020

2017

Transformation approaches of linear random-effects models.

Yongge Tian

Stat. Methods Appl., 2017

On additive decompositions of estimators under a multivariate general linear model and its two submodels.

Bo Jiang, Yongge Tian

J. Multivar. Anal., 2017

Quadratic properties of least-squares solutions of linear matrix equations with statistical applications.

Yongge Tian, Bo Jiang

Comput. Stat., 2017

Rank/inertia approaches to weighted least-squares solutions of linear matrix equations.

Bo Jiang, Yongge Tian

Appl. Math. Comput., 2017

2016

On comparison of dispersion matrices of estimators under a constrained linear model.

Yongge Tian, Wenxing Guo

Stat. Methods Appl., 2016

Equalities for estimators of partial parameters under linear model with restrictions.

Yongge Tian, Bo Jiang

J. Multivar. Anal., 2016

2014

On relations between BLUEs under two transformed linear models.

Baomin Dong, Wenxing Guo, Yongge Tian

J. Multivar. Anal., 2014

2013

Least-squares solutions and least-rank solutions of the matrix equation <i>AXA</i>^* = <i>B</i> and their relations.

Yongge Tian

Numer. Linear Algebra Appl., 2013

Hermitian-type generalized singular value decomposition with applications.

Yonghui Liu, Yongge Tian

Numer. Linear Algebra Appl., 2013

How to solve three fundamental linear matrix inequalities in the Löwner partial ordering

Yongge Tian

CoRR, 2013

Relations between least-squares and least-rank solutions of the matrix equation <i>AXB</i>=<i>C</i>AXB=C.

Yongge Tian, Hongxing Wang

Appl. Math. Comput., 2013

2012

Solutions to 18 constrained optimization problems on the rank and inertia of the linear matrix function A+BXB^*.

Yongge Tian

Math. Comput. Model., 2012

2011

A simultaneous decomposition of a matrix triplet with applications.

Yonghui Liu, Yongge Tian

Numer. Linear Algebra Appl., 2011

Max-Min Problems on the Ranks and Inertias of the Matrix Expressions <i>A</i>-<i>BXC</i>±(<i>BXC</i>)^∗ with Applications.

Yonghui Liu, Yongge Tian

J. Optim. Theory Appl., 2011

Relations between matrix sets generated from linear matrix expressions and their applications.

Yongge Tian

Comput. Math. Appl., 2011

2010

Some equalities for estimations of variance components in a general linear model and its restricted and transformed models.

Yongge Tian, Chunmei Liu

J. Multivar. Anal., 2010

2009

Problem 11466.

Yongge Tian

Am. Math. Mon., 2009

On an additive decomposition of the BLUE in a multiple-partitioned linear model.

Yongge Tian

J. Multivar. Anal., 2009

Some properties of submatrices in a solution to the matrix equation <i>AXB</i>=<i>C</i> with applications.

Yongge Tian

J. Frankl. Inst., 2009

Estimations and Optimal Designs for Two-Dimensional Haar-Wavelet Regression Models.

Yongge Tian

Int. J. Wavelets Multiresolution Inf. Process., 2009

The inverse of any two-by-two nonsingular partitioned matrix and three matrix inverse completion problems.

Yongge Tian, Yoshio Takane

Comput. Math. Appl., 2009

Approximation and continuity of Moore-Penrose inverses of orthogonal row block matrices.

Yongge Tian

Appl. Math. Comput., 2009

2008

More on extremal ranks of the matrix expressions <i>A</i> - <i>BX</i> ± <i>X</i>^*<i>B</i>^* with statistical applications.

Yonghui Liu, Yongge Tian

Numer. Linear Algebra Appl., 2008

2007

Matrix Systems with the Same Sets: 11146.

Yongge Tian, Eugene A. Herman

Am. Math. Mon., 2007

2006

Inequalities Involving Rank and Kronecker Product: 11129.

Yongge Tian, Robin Chapman

Am. Math. Mon., 2006

On the Inverse of a Product of Orthogonal Projectors: 11112.

Yongge Tian

Am. Math. Mon., 2006

Extremal Ranks of Some Symmetric Matrix Expressions with Applications.

Yongge Tian, Yonghui Liu

SIAM J. Matrix Anal. Appl., 2006

A-minimax and D-minimax robust optimal designs for approximately linear Haar-wavelet models.

Yongge Tian, Agnes M. Herzberg

Comput. Stat. Data Anal., 2006

2005

Range Identities for Hermitian Idempotent Matrices: 11040.

Yongge Tian, et al.

Am. Math. Mon., 2005

Problem 11146.

Yongge Tian

Am. Math. Mon., 2005

Problem 11129.

Yongge Tian

Am. Math. Mon., 2005

2004

Injective Properties of Complex Matrices: 10984.

Yongge Tian, Carl Dean Meyer

Am. Math. Mon., 2004

Problem 11112.

Yongge Tian

Am. Math. Mon., 2004

On mixed-type reverse-order laws for the Moore-Penrose inverse of a matrix product.

Yongge Tian

Int. J. Math. Math. Sci., 2004

Using rank formulas to characterize equalities for Moore-Penrose inverses of matrix products.

Yongge Tian

Appl. Math. Comput., 2004

More on maximal and minimal ranks of Schur complements with applications.

Yongge Tian

Appl. Math. Comput., 2004

Rank equalities and inequalities for Kronecker products of matrices with applications.

Jianjun Chuai, Yongge Tian

Appl. Math. Comput., 2004

2003

Problem 11040.

Yongge Tian

Am. Math. Mon., 2003

Problem 10984.

Yongge Tian

Am. Math. Mon., 2003

2002

Squashing a Matrix by Adding an Imaginary Part: 10776.

Yongge Tian, David W. Carter

Am. Math. Mon., 2002

2000

Problem 10776.

Yongge Tian

Am. Math. Mon., 2000