Works by Yongge Tian

Results: 84

ESTIMATIONS AND OPTIMAL DESIGNS FOR TWO-DIMENSIONAL HAAR-WAVELET REGRESSION MODELS.

Published in:

International Journal of Wavelets, Multiresolution & Information Processing, 2009, v. 7, n. 3, p. 281, doi. 10.1142/S0219691309002933

By:

TIAN, YONGGE

Publication type:

Article

On additive decompositions of solutions of the matrix equation AXB= C.

Published in:

Calcolo, 2010, v. 47, n. 4, p. 193, doi. 10.1007/s10092-010-0019-4

By:

Yongge Tian

Publication type:

Article

Equalities and inequalities for ranks of products of generalized inverses of two matrices and their applications.

Published in:

Journal of Inequalities & Applications, 2016, v. 2016, n. 1, p. 1, doi. 10.1186/s13660-016-1123-z

By:

Tian, Yongge

Publication type:

Article

SOME INEQUALITIES FOR SUMS OF NONNEGATIVE DEFINITE MATRICES IN QUATERNIONS.

Published in:

Journal of Inequalities & Applications, 2005, v. 2005, n. 5, p. 449, doi. 10.1155/JIA.2005.449

By:

TIAN, YONGGE;
STYAN, GEORGE P. H.

Publication type:

Article

Transformation approaches of linear random-effects models.

Published in:

Statistical Methods & Applications, 2017, v. 26, n. 4, p. 583, doi. 10.1007/s10260-017-0381-3

By:

Tian, Yongge

Publication type:

Article

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

Published in:

Statistical Methods & Applications, 2016, v. 25, n. 4, p. 623, doi. 10.1007/s10260-016-0350-2

By:

Tian, Yongge;
Guo, Wenxing

Publication type:

Article

Algebraic Characterizations of Relationships between Different Linear Matrix Functions.

Published in:

Mathematics (2227-7390), 2023, v. 11, n. 3, p. 756, doi. 10.3390/math11030756

By:

Tian, Yongge;
Yuan, Ruixia

Publication type:

Article

Equivalence Analysis of Statistical Inference Results under True and Misspecified Multivariate Linear Models.

Published in:

Mathematics (2227-7390), 2023, v. 11, n. 1, p. 182, doi. 10.3390/math11010182

By:

Jiang, Bo;
Tian, Yongge

Publication type:

Article

Two competing linear random-effects models and their connections.

Published in:

Statistical Papers, 2018, v. 59, n. 3, p. 1101, doi. 10.1007/s00362-016-0806-3

By:

Lu, Changli;
Sun, Yuqin;
Tian, Yongge

Publication type:

Article

Some notes on linear sufficiency.

Published in:

Statistical Papers, 2017, v. 58, n. 1, p. 1, doi. 10.1007/s00362-015-0682-2

By:

Kala, Radosław;
Puntanen, Simo;
Tian, Yongge

Publication type:

Article

Equalities for mixed operations of Moore–Penrose and group inverses of a matrix: Equalities for mixed operations: Y. Tian.

Published in:

Aequationes Mathematicae, 2025, v. 99, n. 1, p. 175, doi. 10.1007/s00010-024-01072-2

By:

Tian, Yongge

Publication type:

Article

On a family of matrix equalities that involve multiple products of generalized inverses.

Published in:

Aequationes Mathematicae, 2023, v. 97, n. 3, p. 563, doi. 10.1007/s00010-023-00940-7

By:

Tian, Yongge

Publication type:

Article

Necessary and sufficient conditions for nonlinear matrix identities to always hold.

Published in:

Aequationes Mathematicae, 2019, v. 93, n. 3, p. 587, doi. 10.1007/s00010-018-0610-3

By:

Jiang, Bo;
Tian, Yongge

Publication type:

Article

A matrix approach to a general partitioned linear model with partial parameter restrictions.

Published in:

Linear & Multilinear Algebra, 2022, v. 70, n. 13, p. 2513, doi. 10.1080/03081087.2020.1804521

By:

Ma, Rong;
Tian, Yongge

Publication type:

Article

Classification analysis to the equalities A(i,...,j) = B(k,...,l) for generalized inverses of two matrices.

Published in:

Linear & Multilinear Algebra, 2021, v. 69, n. 8, p. 1383, doi. 10.1080/03081087.2019.1627279

By:

Tian, Yongge

Publication type:

Article

How to establish exact formulas for calculating the max–min ranks of products of two matrices and their generalized inverses.

Published in:

Linear & Multilinear Algebra, 2018, v. 66, n. 1, p. 22, doi. 10.1080/03081087.2017.1283388

By:

Tian, Yongge

Publication type:

Article

Upper and lower bounds for the rank of the matrix-valued function when X has a fixed rank.

Published in:

Linear & Multilinear Algebra, 2017, v. 65, n. 10, p. 2101, doi. 10.1080/03081087.2017.1322034

By:

Tian, Yongge

Publication type:

Article

An algebraic study of BLUPs under two linear random-effects models with correlated covariance matrices.

Published in:

Linear & Multilinear Algebra, 2016, v. 64, n. 12, p. 2351, doi. 10.1080/03081087.2016.1155533

By:

Tian, Yongge;
Jiang, Bo

Publication type:

Article

Distributions of eigenvalues and inertias of some block Hermitian matrices consisting of orthogonal projectors.

Published in:

Linear & Multilinear Algebra, 2012, v. 60, n. 9, p. 1027, doi. 10.1080/03081087.2011.631922

By:

Tian, Yongge;
Li, Ying

Publication type:

Article

A disjoint idempotent decomposition for linear combinations produced from two commutative tripotent matrices and its applications.

Published in:

Linear & Multilinear Algebra, 2011, v. 59, n. 11, p. 1237, doi. 10.1080/03081087.2010.496112

By:

Tian, Yongge

Publication type:

Article

Extremal ranks of a quadratic matrix expression with applications.

Published in:

Linear & Multilinear Algebra, 2011, v. 59, n. 6, p. 627, doi. 10.1080/03081081003774268

By:

Tian, Yongge

Publication type:

Article

Two universal similarity factorization equalities for commutative involutory and idempotent matrices and their applications.

Published in:

Linear & Multilinear Algebra, 2011, v. 59, n. 2, p. 129, doi. 10.1080/03081080903257689

By:

Tian, Yongge

Publication type:

Article

How to use RSVD to solve the matrix equation A=BXC.

Published in:

Linear & Multilinear Algebra, 2010, v. 58, n. 5, p. 537, doi. 10.1080/01445340802354549

By:

Yonghui Liu;
Yongge Tian

Publication type:

Article

Eight expressions for generalized inverses of a bordered matrix.

Published in:

Linear & Multilinear Algebra, 2010, v. 58, n. 2, p. 203, doi. 10.1080/03081080802095461

By:

Yongge Tian

Publication type:

Article

On common generalized inverses of a pair of matrices.

Published in:

Linear & Multilinear Algebra, 2006, v. 54, n. 3, p. 195, doi. 10.1080/03081080500286560

By:

Yongge Tian;
Yoshio Takane

Publication type:

Article

Some rank equalities and inequalities for Kronecker products of matrices.

Published in:

Linear & Multilinear Algebra, 2005, v. 53, n. 6, p. 445, doi. 10.1080/03081080500055072

By:

Tian, Yongge

Publication type:

Article

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

Published in:

Linear & Multilinear Algebra, 2005, v. 53, n. 5, p. 387, doi. 10.1080/03081080500149040

By:

Tian, Yongge;
Styan, George P. H.

Publication type:

Article

The Moore-Penrose inverse for sums of matrices under rank additivity conditions.

Published in:

Linear & Multilinear Algebra, 2005, v. 53, n. 1, p. 45, doi. 10.1080/03081080410001714697

By:

Tian, Yongge

Publication type:

Article

Ranks of Solutions of the Matrix Equation AXB = C.

Published in:

Linear & Multilinear Algebra, 2003, v. 51, n. 2, p. 111, doi. 10.1080/0308108031000114631

By:

Tian, Yongge

Publication type:

Article

The Minimum Rank of a 3 × 3 Partial Block Matrix.

Published in:

Linear & Multilinear Algebra, 2002, v. 50, n. 2, p. 125, doi. 10.1080/03081080290019531

By:

Tian, Yongge

Publication type:

Article

Rank equalities related to outer inverses of matrices and applications.

Published in:

Linear & Multilinear Algebra, 2001, v. 49, n. 4, p. 269, doi. 10.1080/03081080108818701

By:

Tian, Yongge

Publication type:

Article

Statistical inference of a partitioned linear random-effects model.

Published in:

Communications in Statistics: Theory & Methods, 2023, v. 52, n. 4, p. 1251, doi. 10.1080/03610926.2021.1926509

By:

Liu, Ming;
Tian, Yongge;
Yuan, Ruixia

Publication type:

Article

A prediction analysis in a constrained multivariate general linear model with future observations.

Published in:

Communications in Statistics: Theory & Methods, 2021, v. 50, n. 2, p. 345, doi. 10.1080/03610926.2019.1634819

By:

Sun, Yuqin;
Jiang, Hong;
Tian, Yongge

Publication type:

Article

Some remarks on fundamental formulas and facts in the statistical analysis of a constrained general linear model.

Published in:

Communications in Statistics: Theory & Methods, 2020, v. 49, n. 5, p. 1201, doi. 10.1080/03610926.2018.1554138

By:

Tian, Yongge;
Wang, Jie

Publication type:

Article

Equivalence of predictors under real and over-parameterized linear models.

Published in:

Communications in Statistics: Theory & Methods, 2017, v. 46, n. 11, p. 5368, doi. 10.1080/03610926.2015.1100742

By:

Gan, Shengjun;
Sun, Yuqin;
Tian, Yongge

Publication type:

Article

On decompositions of BLUEs under a partitioned linear model with restrictions.

Published in:

Statistical Papers, 2016, v. 57, n. 2, p. 345, doi. 10.1007/s00362-014-0654-y

By:

Zhang, Xuan;
Tian, Yongge

Publication type:

Article

Some equalities for estimations of partial coefficients under a general linear regression model.

Published in:

Statistical Papers, 2011, v. 52, n. 4, p. 911, doi. 10.1007/s00362-009-0298-5

By:

Tian, Yongge;
Zhang, Jieping

Publication type:

Article

On the natural restrictions in the singular Gauss--Markov model.

Published in:

Statistical Papers, 2008, v. 49, n. 3, p. 553, doi. 10.1007/s00362-006-0032-5

By:

Tian, Yongge;
Beisiegel, M.;
Dadenais, E.;
Haines, C.

Publication type:

Article

Constructions and characterizations of mixed reverse-order laws for the Moore–Penrose inverse and group inverse.

Published in:

Georgian Mathematical Journal, 2024, v. 31, n. 6, p. 1049, doi. 10.1515/gmj-2024-2016

By:

Tian, Yongge

Publication type:

Article

Characterizations of matrix equalities involving the sums and products of multiple matrices and their generalized inverse.

Published in:

Electronic Research Archive, 2023, v. 31, n. 9, p. 1, doi. 10.3934/era.2023298

By:

Tian, Yongge

Publication type:

Article

The equivalence between ( AB ) † = B † A † and other mixed-type reverse-order laws.

Published in:

International Journal of Mathematical Education in Science & Technology, 2006, v. 37, n. 3, p. 331, doi. 10.1080/00207390500226168

By:

Tian, Yongge

Publication type:

Article

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

Published in:

International Journal of Mathematical Education in Science & Technology, 2002, v. 33, n. 1, p. 127, doi. 10.1080/00207390118887

By:

Tian, Yongge;
Styan, George P. H.

Publication type:

Article

Invariance property of a five matrix product involving two generalized inverses.

Published in:

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021, v. 29, n. 1, p. 83, doi. 10.2478/auom-2021-0006

By:

Bo Jiang;
Yongge Tian

Publication type:

Article

On a Biased Prediction Based on Optimal Mean Square Error Criterion.

Published in:

Bulletin of the Malaysian Mathematical Sciences Society, 2024, v. 47, n. 6, p. 1, doi. 10.1007/s40840-024-01773-6

By:

Jiang, Bo;
Tian, Yongge

Publication type:

Article

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

Published in:

Computational & Applied Mathematics, 2022, v. 41, n. 8, p. 1, doi. 10.1007/s40314-022-02084-x

By:

Tian, Yongge

Publication type:

Article

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

Published in:

Computational & Applied Mathematics, 2020, v. 39, n. 3, p. 1, doi. 10.1007/s40314-020-01203-w

By:

Tian, Yongge

Publication type:

Article

Closed-form formulas for calculating the max-min ranks of a triple matrix product composed by generalized inverses.

Published in:

Computational & Applied Mathematics, 2018, v. 37, n. 5, p. 5876, doi. 10.1007/s40314-018-0668-5

By:

Tian, Yongge;
Jiang, Bo

Publication type:

Article

Some Decompositions of OLSEs and BLUEs Under a Partitioned Linear Model.

Published in:

International Statistical Review, 2007, v. 75, n. 2, p. 224, doi. 10.1111/j.1751-5823.2007.00018.x

By:

Tian, Yongge

Publication type:

Article

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

Published in:

Numerical Linear Algebra with Applications, 2013, v. 20, n. 5, p. 713, doi. 10.1002/nla.829

By:

Tian, Yongge

Publication type:

Article

Hermitian-type generalized singular value decomposition with applications.

Published in:

Numerical Linear Algebra with Applications, 2013, v. 20, n. 1, p. 60, doi. 10.1002/nla.1825

By:

Liu, Yonghui;
Tian, Yongge

Publication type:

Article