Math Writing Style
Sheet
(Click)
Below are some of research articles that can be downloaded.
Note: Please be advised that the
following
articles for noncommerical research and
education
use only.Oen should
make
effort getting the papers from the publishers first.
Papers, if not found here, are available in hard copies via regular
mail per
request.
LAMA  A matrix decomposition and its applications, to appear 
LAA  Angles, triangle inequalities, correlation matrices and metricpreserving and subadditive functions, with D. Castano and V. Paksoy, to appear 
LAA  An inequality for tensor product of positive operators and its applications, with H.X. Chang and V. Paksoy, to appear 
Positivity  Positivity of partitioned Hermitian matrices with unitarily invariant norms, with C.K. Li, to appear in Positivity DOI 10.1007/s1111701403064 
LAA(15)BookReview  Book Review for Xingzhi Zhan, Matrix Theory, Grad. Stud. Math., vol.147, American Mathematical Society, ISBN9780821894910, 2013, x+253pp., Hardcover. 
ELA(14)PTZ 
Inequalities
Of Generalized Matrix Functions Via Tensor Products, with V.
Paksoy and R. Turkmen, Electron
J. Linear
Algebra, Vol. 27, pp. 332341, 2014 
IJBio(13) 
Chaos Analysis And Control For A Class Of Sir Epidemic Model With Seasonal Fluctuation, with Y. Zhang, Q. Zhang, F. Bai, International
Journal of
Biomathematics, Vol. 6, No. 1 (2013) 1250063 (11 pages) 
LAA(13) 
An analytic approach to a permanent conjecture, Linear Algebra Appl. 438 (2013) 1570–1579. 
Takagi factorization for quaternion matrices, with R. Horn, Linear & Multilinear Algebra, 60 (2012) 1112, 12391244. 

Some inequalities of majorization type, with R. Turkmen and V. Palsoy, Linear Algebra Appl. 437 (2012) 13051316. 

Book Review for Inequalities: Theory of Majorization and Its Applications (Springer Series in Statistics) by A.W. Marshall, I. Olkin and B.C. Arnold, 2nd edition, Springer (2011), xxvii+909 pp, Hardback, ISBN 9780387400877, Linear Algebra Appl. 436 (2012) 15351540. 

Positivity of matrices with generalized matrix functions, Acta Mathematica Sinica,Volume 28, Number 9 (2012) 17791786. 

On the Unitary Diagonalisation of a Special Class of Quaternion Matrices, with C. Cheong Took and D. P. Mandic, Applied Math Lett. 24 (2011) 18061809. 

On the eigenvalues of quaternion matrices, with F. O. Farid and Q.W. Wang, Linear Multilinear Algebra, Vol. 59, No. 4, 2011, pp. 451473. 

Contractive matrices of Hua type, with C. Xu, G. Xu, Linear Multilinear Algebra,Vol. 59, No. 2, 2011, pp. 159172. 

Bounds on the spectral radius of a Hadamard product of nonnegative or positive semidefininte matrices, with R. Horn, Electron. J. Linear Algebra, Vol. 20, pp. 9094, 2010. 

Robustness analysis of descriptor systems with parameter uncertainties, with C. Yang, Q. Zhang, and Z. Zhou, International Journal of Control, Automation, and Systems 8. 2 (Apr. 2010): 204209.  
Criteria and
Schur Complements of Hmatrices, with J. Liu, J. of Mathematics
Applications and Computation, Spring (2010) 32:119133. 

Revisiting
HuaMarcusBellmanAndo Inequalities on Contractive Matrices, with C.
Xu and Z. Xu, Linear Algebra Appl. 430 (2009) 14991508. 

Hua's matrix equality and Schur complements,
with C. Paige, G. Styan, and B. Wang, International Journal of
Information & Systems Sciences, Vol.4, No.1, pp.124135, March 2008. 

An operator
equality involving a continuous field of operators and its norm
inequalities, with M. Sal Moslehian, Linear Algebra Appl. 429 (2008)
21592167. 

On the
Operator Bohr Inequality, J. of Math. Anal. and Appl. 333 (2007)
12641271. 

Gersgorin type theorems for quaternionic
matrices, Linear Algebra Appl. 424 (2007) 139153. 

Eigenvalue inequalities for matrix product,
with Q. Zhang, IEEE Trans. Auto. Contr., Vol. 51, No. 9, pp. 15061509,
Sept., 2006. 

Relative perturbation bounds for the eigenvalues of diagonalizable and singular matrices  Application of perturbation theory for simple invariant subspaces, with Y. Wei, X. Li, and F. Bu, Linear Algebra Appl. Vol. 419, pp. 765771, 2006.  
Disc
separation of the Schur complement of diagonally dominant matrices and
determinantal bounds, with J. Liu, SIAM J. Matrix Anal. Appl., Vol. 27,
No. 3, pp. 665{674, Dec. 2005. 

Matrix
Identity on the Schur Complement, Linear & Multilinear Algebra, Vol
52, No. 5, pp. 367373, 2004. 

The Schur
Complements of Generalized Doubly Diagonally Dominant Matrices, with J.
Liu and Y. Huang, Linear Algebra Appl. 378 (2004) 231244. 

Matrix
Inequalities by Means of Embedding, with TG Lei and CW Woo, Electron.
J. Linear Algebra, Vol. 11, pp. 6667, 2004. 

Matrix Inequalities by Means of Block Matrices, Mathematical Inequalities and Applications,Vol. 4, Number 4, pp. 481490, October 2001.  
Jordan
Canonical Form of a Partitioned Complex Matrix and Its Applications to
Real Quaternion Matrices, with Y. Wei, Communications in Algebra, 29(6)
23632375 (2001) 

Equivalence
of the Wielandt inequality and the Kantorovich inequality, Linear and
Multilinear Algebra, Vol. 48, pp. 275279, 2001. 

On the
Hadamard Product of Inverse Mmatrices, with BY Wang and X. Zhang,
Linear Algebra Appl. 305 (2000) 2331. 

Schur Complements and Matrix Inequalities in
Lowner Ordering, Linear Algebra Appl. 321 (2000) 399410. 

Equivalence
of a matrix product to the Kronecker product, with Y. Wei, Hadronic J.
Supplement, 15, pp. 327332, 2000. 

Some Inequalities for Sum and Product of positive Semidefinite Matrices, with BY Wang and BY Xi, Linear Algebra Appl. 293 (1999) 3949.  
Some
Inequalities on Generalized Schur Complements, with BY Wang and X.
Zhang, Linear Algebra Appl. 302303 (1999) 163172. 

On the
Precise Number of (0,1)Matrices in A(R; S), with BY Wang, Discrete
Mathematics, Vol. 187, pp. 211{220, 1998. 

JMRE18(98)WZ  On 01 Symmetric and Normal Matrices, with BY Wang, J. of Math Research and Exposition (China), Vol. 18, No. 2, pp. 159164, May, 1998. 
On Normal
Matrices of Zeros and Ones with Fixed Row Sum, with BY Wang, Linear
Algebra Appl. 275/276 (1998) 617626. 

Schur Complements and Matrix Inequalities of
Hadamard Products, with BY Wang, Linear and Multilinear Algebra, Vol.
43, pp. 315326, 1997. 

Sign Patterns
of Nonnegative Normal Matrices, with Z. Li and F. Hall, Linear Algebra
and Its Applications, Vol. 254:335354, 1997. 

Norm Hull of
Vectors and Matrices, with CK Li and NK Tsing, Linear Algebra Appl.
257 (1997) 127. 

Quaternions and Matrices of Quaternions,
Linear Algebra Appl. 251 (1997) 2157. 

An Operator
Inequality and Matrix Normality, with Charles R Johnson, Linear Algebra
Appl. 240 (1995) No. 13, pp. 105110. 

AMS(96)LZ  The Generalized Numerical Range with Completely Symmetric Function (in Chinese), with TG Lei, Acta Math. Sinica, Vol. 39, No. 5, pp. 590596, 1996. 
Trace and
Eigenvalue Inequalities of Ordinary and Hadamard Products for Positive
Semidefinite Hermitian Matrices, with BY Wang, SIAM Matrix Analysis
and Applications, Vol. 16, No. 4, pp. 11731183, 1995. 

LAMA40(95)WZ  Words and Normality of Matrices, with BY Wang, Linear and Multilinear Algebra, Vol. 40, No. 2:111118, 1995. 
JMPS6(95)  On Numerical Range of Normal Matrices of Quaternions, Journal of Mathematical and Physical Sciences, Vol. 29, No. 6, pp.235251, 1995. 
LAMA38(95)JZ  Erratum "RobisonTaussky inequality", with C. R. Johnson, Linear and Multilinear Algebra, Vol. 38, No. 3, p. 281, 1995. 
Monthly101(94)WZ  A Trace Inequality for Unitary Matrices, with BYWang, The American Mathematical Monthly, Vol. 101, Number 5, pp. 453455, 1994. 
LAMA37(94)STZ  The Numerical Range of Normal Matrices with Quaternion Entries, with W. So and R. C. Thompson, Linear and Multilinear Algebra, Vol. 37, pp. 175195, 1994. 
LAA197/198(94)ZLS  Two Conjectures on Permanents, with G. Liang and W. So, Linear Algebra Appl. 197&198 (1994) 840844. 
LAMA33(93)  A Majorization Conjecture for Hadamard Products and Compound Matrices, Linear and Multilinear Algebra, Vol. 33, No. 4, p. 301303, 1993. 
Some
Inequalities for the Eigenvalues of the Product of Positive
Semidenite Hermitian Matrices,with BoYing Wang, Linear Algebra Appl.
160 (1992) 113118. 

LAMA25(89)  Notes on Hadamard Products of Matrices, Linear and Multilinear Algebra, Vol. 25, pp. 237242, 1989. 
MPT(89)  Some Identities of Permanents, Mathematics in Practice and Theory (in Chinese), No. 1, pp. 4447, 1989. 
LAMA22(88)  Another Proof of a Singular Value Inequality Concerning Hadamard Products of Matrices, Linear and Multilinear Algebra, Vol. 22, pp. 307311, 1988. 
BNU4(87)  On the Best Euclidean Fit to a Distance Matrix, J. of Beijing Normal University (Nature Sci., in Chinese), No. 4, pp. 2124, 1987. 
MPT(87)  Some Notes on "The inequality of Hermitian Square Matrices", Mathematics in Practice and Theory (in Chinese), No. 2, pp. 6061, 1987. 