Yongge Tian

发表

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

Yongge Tian, Yongge Tian, 2013, ArXiv.

Injective Properties of Complex Matrices: 10984

Carl Dean Meyer, Yongge Tian, 2004, Am. Math. Mon..

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

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

Rank equalities and inequalities for Kronecker products of matrices with applications

Yongge Tian, Jianjun Chuai, Yongge Tian, 2004, Appl. Math. Comput..

Problem 11466

Yongge Tian, 2009, Am. Math. Mon..

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

Yongge Tian, Yongge Tian, 2009, Appl. Math. Comput..

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

Yongge Tian, Wenxing Guo, Yongge Tian, 2016, Stat. Methods Appl..

Relations between least-squares and least-rank solutions of the matrix equation AXB=CAXB=C

Hongxing Wang, Yongge Tian, 2013, Appl. Math. Comput..

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

Bo Jiang, Yongge Tian, Yongge Tian, 2017, J. Multivar. Anal..

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

Yongge Tian, 2012, Math. Comput. Model..

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

Yoshio Takane, Yongge Tian, Y. Takane, 2009, Comput. Math. Appl..

Errata: Squashing a Matrix by Adding an Imaginary Part: 10776

Yongge Tian, David W. Carter, 2002, Am. Math. Mon..

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

Agnes M. Herzberg, Yongge Tian, A. Herzberg, 2006, Comput. Stat. Data Anal..

Matrix Systems with the Same Sets: 11146

Eugene A. Herman, Yongge Tian, 2007, Am. Math. Mon..

Inequalities Involving Rank and Kronecker Product: 11129

Robin J. Chapman, Yongge Tian, 2006, Am. Math. Mon..

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

Bo Jiang, Yongge Tian, Yongge Tian, 2017, Comput. Stat..

Problem 11112

Yongge Tian, 2004, Am. Math. Mon..

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

Chunmei Liu, Yongge Tian, Yongge Tian, 2010, J. Multivar. Anal..

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

Bo Jiang, Yongge Tian, Yongge Tian, 2017, Appl. Math. Comput..

More on maximal and minimal ranks of Schur complements with applications

Yongge Tian, Yongge Tian, 2004, Appl. Math. Comput..

Least-squares solutions and least-rank solutions of the matrix equation AXA* = B and their relations

Yongge Tian, 2013, Numer. Linear Algebra Appl..

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

Yongge Tian, Yongge Tian, 2004, Int. J. Math. Math. Sci..

On the Inverse of a Product of Orthogonal Projectors: 11112

Yongge Tian, 2006, Am. Math. Mon..

Max-Min Problems on the Ranks and Inertias of the Matrix Expressions A−BXC±(BXC)∗ with Applications

Yongge Tian, Yonghui Liu, Yongge Tian, 2011, J. Optim. Theory Appl..

Range Identities for Hermitian Idempotent Matrices: 11040

et al., Yongge Tian, 2005, Am. Math. Mon..

A simultaneous decomposition of a matrix triplet with applications

Yongge Tian, Yonghui Liu, Yongge Tian, 2011, Numer. Linear Algebra Appl..

Some properties of submatrices in a solution to the matrix equation AXB=C with applications

Yongge Tian, 2009, J. Frankl. Inst..

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

Yongge Tian, Yongge Tian, 2009, J. Multivar. Anal..

More on extremal ranks of the matrix expressions A − BX ± X*B* with statistical applications

Yongge Tian, Yonghui Liu, Yongge Tian, 2008, Numer. Linear Algebra Appl..

Problem 11146

Yongge Tian, 2005, Am. Math. Mon..

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

Yongge Tian, Yongge Tian, 2004, Appl. Math. Comput..

Problem 10984

Yongge Tian, 2003, Am. Math. Mon..

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

Yongge Tian, 2011, Comput. Math. Appl..

Equalities for estimators of partial parameters under linear model with restrictions

Bo Jiang, Yongge Tian, Yongge Tian, 2016, J. Multivar. Anal..

On relations between BLUEs under two transformed linear models

Yongge Tian, Wenxing Guo, Baomin Dong, 2014, J. Multivar. Anal..

Transformation approaches of linear random-effects models

Yongge Tian, Yongge Tian, 2017, Stat. Methods Appl..

Problem 11129

Yongge Tian, 2005, Am. Math. Mon..

Problem 10776

Yongge Tian, 2000, Am. Math. Mon..

Hermitian-type generalized singular value decomposition with applications

Yongge Tian, Yonghui Liu, 2013, Numer. Linear Algebra Appl..

Problem 11040

Yongge Tian, 2003, Am. Math. Mon..

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

Yongge Tian, Changli Lu, Shengjun Gan, 2020, Commun. Stat. Simul. Comput..

Statistical inference of a partitioned linear random-effects model

Yongge Tian, Ming Liu, Ruixia Yuan, 2021, Communications in Statistics - Theory and Methods.

COMPLETING BLOCK HERMITIAN MATRICES WITH MAXIMAL AND MINIMAL RANKS AND INERTIAS

Yongge Tian, Yongge Tian, 2010 .

Rank equalities related to outer inverses of matrices and applications

Yongge Tian, Yongge Tian, 2001 .

Some notes on linear sufficiency

Yongge Tian, Simo Puntanen, Radosław Kala, 2017 .

How Characterize Equalities for the Moore-Penrose Inverse of a Matrix

Yongge Tian, 2001 .

Rank equalities for idempotent and involutary matrices

Yongge Tian, George P. H. Styan, G. Styan, 2001 .

Extremal ranks of a quadratic matrix expression with applications

Yongge Tian, 2011 .

ON A GROUP OF MIXED-TYPE REVERSE-ORDER LAWS FOR GENERALIZED INVERSES OF A TRIPLE MATRIX PRODUCT WITH APPLICATIONS ∗

Yongge Tian, Yonghui Liu, 2007 .

The Maximal and Minimal Ranks of Some Expressions of Generalized Inverses of Matrices

Yongge Tian, Yongge Tian, 2002 .

On the equivalence of estimations under a general linear model and its transformed models

Yongge Tian, Simo Puntanen, S. Puntanen, 2009 .

More on Rank Equalities Related to Outer Inverses of Matrices with Applications

Yongge Tian, 2002 .

The Dimension of Intersection of $k$ Subspaces

Yongge Tian, 2002 .

Twosetsofnewcharacterizationsfornormaland EP matrices

Yongge Tian, Yongge Tian, Shizhen Cheng, 2003 .

The Minimal Rank of the Matrix Expression $A - BX - YC$

Yongge Tian, 2002 .

The Minimum Rank of a 3 × 3 Partial Block Matrix

Yongge Tian, Yongge Tian, 2002 .

Ranks of Hermitian and skew-Hermitian solutions to the matrix equation AXA∗=B

Yoshio Takane, Yongge Tian, Y. Takane, 2009 .

Some rank equalities and inequalities for Kronecker products of matrices

Yongge Tian, Yongge Tian, 2005 .

Schur complements and Banachiewicz-Schur forms

Yoshio Takane, Yongge Tian, Y. Takane, 2005 .

Estimation and optimal designs for linear Haar-wavelet models

Agnes M. Herzberg, Yongge Tian, A. Herzberg, 2007 .

Matrix Theory over the Complex Quaternion Algebra

Yongge Tian, Yongge Tian, 2000 .

Equalities and inequalities for inertias of hermitian matrices with applications

Yongge Tian, Yongge Tian, 2010 .

Rank Equalities for Block Matrices and Their Moore-Penrose Inverses

Yongge Tian, Yongge Tian, 2004 .

Cochran's statistical theorem revisited

Yongge Tian, George P.H. Styan, G. Styan, 2006 .

Reverse order laws for the generalized inverses of multiple matrix products

Yongge Tian, Yongge Tian, 1994 .

Equivalence of predictors under real and over-parameterized linear models

Yongge Tian, Shengjun Gan, Yongge Tian, 2017 .

PARTIALLY SUPERFLUOUS OBSERVATIONS

Yongge Tian, Hailong Qian, Yongge Tian, 2006, Econometric Theory.

RANK AND INERTIA OF SUBMATRICES OF THE MOORE-PENROSE INVERSE OF A HERMITIAN MATRIX ∗

Yongge Tian, Yongge Tian, 2010 .

Some properties of projectors associated with the WLSE under a general linear model

Yoshio Takane, Yongge Tian, Y. Takane, 2008 .

On relations among solutions of the Hermitian matrix equation $AXA^{*} = B$ and its three small equations

Ying Li, Yongge Tian, 2014 .

When does rank(ABC) = rank(AB) + rank(BC) - rank(B) hold?

Yongge Tian, George P. H. Styan, G. Styan, 2002 .

More on generalized inverses of partitioned matrices with Banachiewicz–Schur forms

Yoshio Takane, Yongge Tian, Y. Takane, 2009 .

THE MOORE-PENROSE INVERSES OF M N BLOCK MATRICES AND THEIR APPLICATIONS

Yongge Tian, 1998 .

HOW TO ESTABLISH UNIVERSAL BLOCK-MATRIX FACTORIZATIONS ∗

Yongge Tian, George P. H. Styan, G. Styan, 2001 .

How to Express a Parallel Sum of k Matrices

Yongge Tian, 2002 .

On consistency, natural restrictions and estimability under classical and extended growth curve models

Yoshio Takane, Yongge Tian, Y. Takane, 2009 .

On reverse-order laws for least-squares g-inverses and minimum norm g-inverses of a matrix product

Yoshio Takane, Yongge Tian, Y. Takane, 2007 .

Rank equalities related to generalized inverses of matrices and their applications

Yongge Tian, Yongge Tian, 1999 .

On equality and proportionality of ordinary least squares, weighted least squares and best linear unbiased estimators in the general linear model

Douglas P. Wiens, Yongge Tian, D. Wiens, 2006 .

Cochran's statistical theorem for outer inverses of matrices and matrix quadratic forms

Yongge Tian, George P.H. Styan, G. Styan, 2005 .