Publications
Books
  • Matrix Inequalities, Lecture Notes in Mathematics 1790, Springer-Verlag, Berlin, 2002. Cover
  • Matrix Theory, Graduate Studies in Mathematics 147, American Mathematical Society, Providence, 2013. Cover
Papers
  • On a question of P. R. Halmos,
    Linear and Multilinear Algebra 39 (1995), no.3, 255--258
  • Computing the extremal positive definite solutions of a matrix equation,
    SIAM J. Sci. Comput. 17 (1996), no. 5, 1167--1174
  • (with J. Xie) On the matrix equation X+A^TX^{-1}A=I,
    Linear Algebra Appl. 247 (1996), 337--345
  • Inequalities for the singular values of Hadamard products,
    SIAM J. Matrix Anal. Appl. 18 (1997), no. 4, 1093--1095
  • (with E. Jiang) Lower bounds for the spread of a Hermitian matrix,
    Linear Algebra Appl. 256 (1997), 153--163
  • Inequalities involving Hadamard products and unitarily invariant norms,
    Adv. in Math. (China) 27 (1998), no. 5, 416--422
  • Inequalities for unitarily invariant norms,
    SIAM J. Matrix Anal. Appl. 20 (1998), no. 2, 466--470
  • (with T. Ando) Norm inequalities related to operator monotone functions,
    Math. Ann. 315 (1999), no. 4, 771--780
  • (with R. A. Horn) Inequalities for C-S seminorms and Lieb functions,
    Linear Algebra Appl. 291 (1999), 103--113
  • Norm inequalities for Cartesian decompositions,
    Linear Algebra Appl. 286 (1999), 297--301
  • Singular values of differences of positive semidefinite matrices,
    SIAM J. Matrix Anal. Appl. 22 (2000), no.3, 819--823
  • Some research problems on the Hadamard product and singular values of matrices,
    Linear and Multilinear Algebra 47 (2000), no.2, 191--194
  • (with R. Bhatia) Compact operators whose real and imaginary parts are positive,
    Proc. Amer. Math. Soc. 129 (2001), no.8, 2277--2281
  • Linear preservers that permute the entries of a matrix,
    Amer. Math. Monthly 108 (2001), no.7, 643--645
  • Span of the orthogonal orbit of real matrices,
    Linear and Multilinear Algebra 49 (2001), 337--346
  • (with F. Ding) On the unitary orbit of complex matrices,
    SIAM J. Matrix Anal. Appl. 23 (2001) no.2, 511--516
  • (with F. Hiai) Inequalities involving unitarily invariant norms and operator monotone functions,
    Linear Algebra Appl. 341(2002), 151--169
  • The sharp Rado theorem for majorizations,
    Amer. Math. Monthly 110(2003), 152--153
  • (with R. Bhatia) Norm inequalities for operators with positive real part,
    J. Operator Theory 50(2003), 67--76
  • On some matrix inequalities,
    Linear Algebra Appl. 376(2004), 299--303
  • (with F. Hiai) Submultiplicativity vs subadditivity for unitarily invariant norms,
    Linear Algebra Appl. 377(2004), 155--164
  • On singular numbers of tau-measurable operators,
    J. of Shanghai University, Special issue dedicated to the 70th birthday of Professor Erxiong Jiang, 8(2004), no.4, 444--447
  • (with Q. Hu and Y. Li) Possible numbers of ones in 0-1 matrices with a given rank,
    Linear and Multilinear Algebra 53(2005), no.6, 435--443 pdf file
  • Formulae for sums of consecutive square roots,
    Math. Intelligencer 27(2005), no.4, 4--5 pdf file
  • Extremal eigenvalues of real symmetric matrices with entries in an interval ,
    SIAM J. Matrix Anal. Appl. 27(2006), no. 3, 851--860 pdf file
  • Completion of a partial integral matrix to a unimodular matrix,
    Linear Algebra Appl. 414(2006), 373--377 pdf file
  • (with L. Qiu) On the span of Hadamard products of vectors,
    Linear Algebra Appl. 422(2007), 304--307 pdf file
  • Extremal numbers of positive entries of imprimitive nonnegative matrices,
    Linear Algebra Appl. 424(2007), 132--138 pdf file
  • Open problems in matrix theory,
    in Proceedings of the 4th International Congress of Chinese Mathematicians, Vol. I, edited by L. Ji, K. Liu, L. Yang and S.-T. Yau, Higher Education Press, Beijing, 2008, 367--382 pdf file
  • (with R.A. Brualdi and P. Pei) An extremal sparsity property of the Jordan canonical form,
    Linear Algebra Appl., 429(2008), 2367--2372 pdf file
  • (with R.A. Brualdi and Z. Huang) Singular, nonsingular, and bounded rank completions of ACI-matrices,
    Linear Algebra Appl., 433(2010), 1452--1462 pdf file
  • (with Z. Huang) Digraphs that have at most one walk of a given length with the same endpoints,
    Discrete Math., 311(2011), 70--79. pdf file
  • (with Z. Huang) ACI-matrices all of whose completions have the same rank,
    Linear Algebra Appl., 434 (2011), 1956--1967. pdf file
  • (with Z. Huang) Extremal digraphs whose walks with the same initial and terminal vertices have distinct lengths,
    Discrete Math., 312(2012), 2203--2213. pdf file
  • (with Z. Huang) Partial matrices all of whose completions have the same spectrum,
    Linear Algebra Appl., 436(2012), 3061--3064. pdf file
  • (with C. Ma) Extremal sparsity of the companion matrix of a polynomial,
    Linear Algebra Appl., 438(2013), 621--625. pdf file
  • (with C. Ma) Inverse invariant zero¨Cnonzero patterns,
    Linear Algebra Appl., 443(2014), 184--190. pdf file
  • (with Z. Huang) Nonsymmetric normal entry patterns with the maximum number of distinct indeterminates,
    Linear Algebra Appl., 485(2015), 359--371. pdf file
  • (with S. Kirkland and P. Qiao) Algebraically positive matrices,
    Linear Algebra Appl., 504(2016), 14--26. pdf file
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