PUBLICATIONS:
M. Gumus and J. Xu, On common $\alpha$-scalar Lyapunov solutions, Linear Algebra and Its Applications, to appear
P. Rajasingam and J. Xu, On the convergence of the accelerated Riccati iteration method, International Journal of Control, to appear
P. Sun, A. Mahdi, J. Xu, and J. Qin, Speech enhancement in spectral envelop and detail subspaces, Speech Communication, 101: 57-69, 2018
M. Gumus and J. Xu, A new characterization of simultaneous Lyapunov diagonal stability via Hadamard products, Linear Algebra and Its Applications, 531: 220-233, 2017
M. Gumus and J. Xu, Some new results related to $\alpha$-stability, Linear and Multilinear Algebra, 65: 325-340, 2017
M. Gumus and J. Xu, On common diagonal Lyapunov solutions, Linear Algebra and Its Applications, 507: 32-50, 2016
J.
Xu and P. Rajasingam, New unified matrix upper bound on the solution of
the continuous coupled algebraic Riccati equation, Journal of the Franklin Institute, 353: 1233-1247, 2016
J. Xu, An iterative algorithm for computing mean first passage times of Markov chains, Applied Mathematics and Computation, 250: 372-389, 2015
M. Xiao and J. Xu, Sharp bounds of the inverse matrices resulted from five-point stencil in solving Poisson equations, Linear Algebra and Its Applications, 444: 231-245, 2014
L. Han and J. Xu, Proof of Stenger's conjecture on matrix $I^{(-1)}$ of Sinc methods, Journal of Computational and Applied Mathematics, 255: 805-811, 2014
J. Xu and M. Xiao,
On the iterative refinement of matrix upper bounds for the solution of
continuous coupled algebraic Riccati equations, Automatica, 49: 2168-2175, 2013
J. Xu, Unified, improved matrix upper bound on the solution of the continuous coupled algebraic Riccati equation, Journal of the Franklin Institute, 350: 1634-1648, 2013
J. Wen, M. Xiao,
and J. Xu, Control of Hopf bifurcations of nonlinear
infinite-dimensional systems: Application to axial flow engine
compressor, Applicable Analysis, 91: 1959-1980,
2012
J. Xu, Average case analysis of the Markov chain small-world model, Journal of the Franklin Institute, 349: 2431-2444, 2012
J. Xu, Markov
chain small-world model with asymmetry: A unified and multivariate
perspective, Mathematical and
Computer Modelling, 54: 449-459, 2011
J. Xu and M. Xiao,
A characterization of the generalized spectral radius with Kronecker
powers, Automatica, 47:
1530-1533, 2011
J. Xu, On the
trace
characterization of the joint spectral radius, Electronic Journal of Linear Algebra,
20:
367-375,
2010
J. Xu, Simulating
weighted,
directed small-world networks, *Applied Mathematics and
Computation*, 216: 2118-2128, 2010
J. Xu, Generalized
λ-Newton
inequalities revisited, *Journal of Inequalities in Pure and
Applied Mathematics*, 10: Article 19, 2009
J. Xu, Markov
chain small-world
model with asymmetric transition probabilities, *Electronic Journal
of Linear Algebra*, 17: 616-636, 2008
J. Xu, Generalized
Newton-like
inequalities, *Journal of Inequalities in Pure and Applied
Mathematics*, 9: Article 85, 2008
S. Kirkland, M.
Neumann, and J. Xu,
Transition matrices for well-conditioned Markov chains, *Linear
Algebra and Its Applications*, 424: 118-131, 2007
M. Neumann and J.
Xu, A note on
Newton and Newton-like inequalities for M-matrices and for Drazin
inverses of M-matrices, *Electronic Journal of Linear Algebra*,
15: 314-328, 2006
M. Catral, M.
Neumann, and J. Xu,
Matrix analysis of a Markov chain small-world model, *Linear
Algebra and Its Applications*, 409: 126-146, 2005
M. Catral, M.
Neumann, and J. Xu,
Proximity in group inverses of M-matrices and inverses of diagonally
dominant M-matrices, *Linear Algebra and Its Applications*, 409:
32-50, 2005
M. Neumann and J.
Xu, A parallel
algorithm for computing the group inverse via Perron complementation, *Electronic
Journal
of
Linear
Algebra*, 13:
131-145, 2005
S. Kirkland, M.
Neumann, and J.
Xu, Convexity and elasticity of the growth rate in size-classified
population models, *SIAM Journal on Matrix Analysis and
Applications*, 26: 170-185, 2004
M. Neumann and J.
Xu, Improved
bounds for a condition number for Markov chains, *Linear Algebra
and Its Applications*, 386: 225-241, 2004
M. Neumann and J.
Xu, On the
stability of the computation of the stationary probabilities of
Markov chains using Perron complements, *Numerical Linear Algebra
with Applications*, 10: 603-618, 2003
L. Han, M.
Neumann, and J. Xu, On
the roots of certain polynomials arising from analysis of Nelder-Mead
simplex method, *Linear Algebra and Its Applications*, 363:
109-124, 2003
S. Kirkland, M.
Neumann, N. Ormes,
and J. Xu, On the elasticity of the Perron root of a nonnegative
matrix, *SIAM Journal on Matrix Analysis and Applications*, 24:
454-464, 2002
S. Kirkland, M.
Neumann, and J.
Xu, A divide and conquer approach to computing the mean first passage
matrix for Markov chains via Perron complement reductions, *Numerical
Linear
Algebra
with
Applications*, 8: 287-295, 2001
PRESENTATIONS:
Some
characterizations for the existence of diagonal Lyapunov solutions,
International Conference on Matrix Inequalities and Matrix Equations,
Shanghai University, China, 2018 (invited)
On
the convergence of the accelerated Riccati iteration method,
International Conference on Matrix Inequalities and Matrix Equations,
Shanghai University, China, 2017 (invited)
An
accelerated iterative algorithm for computing mean first passage times
of Markov chains, International Conference on Probability and
Stochastic Analysis, Shanghai, China, 2015
An iterative algorithm for computing mean first passage times of Markov chains, the 22^{nd }International Workshop on Matrices and Statistics, Fields Institute, Toronto, Canada, 2013 (invited)
A
characterization of the generalized spectral radius with Kronecker
powers, SIAM Conference on Control and Its Applications, Baltimore,
Maryland, 2011 (accepted)
Markov chain
small-world model with
asymmetry: A unified and multivariate perspective, Minisymposium on
Markov Chains, the 16^{th} Conference of the International
Linear Algebra Society, Pisa, Italy, 2010 (invited)
Markov chain
small-world model with
asymmetric transition probabilities, SIAM Conference on Applied
Linear Algebra, Monterey Bay-Seaside, California, 2009 (accepted)
Generalized
Newton-like
inequalities on positive stable matrices, Robert C. Thompson Matrix
Meeting, Santa Barbara, California, 2008
Matrix analysis of
a Markov chain
small-world model, the International Linear Algebra Society Matrix
Theory Symposium in Honor of Jean H. Bevis, Atlanta, Georgia, 2005 (invited)
Matrix analysis of
the small-world
properties of a ring network, Special Session on Numerical Analysis,
Approximation, and Computational Complexity: Interdisciplinary
Aspects, AMS Sectional Meeting, Bowling Green, Kentucky, 2005
A parallel
algorithm for computing
the group inverse via Perron complementation, Special Session on
Linear Algebra, AMS Sectional Meeting, Athens, Ohio, 2004
Improved bounds
for a condition
number for Markov chains, the 4^{th} International Conference
on the Numerical Solution of Markov Chains, Urbana, Illinois, 2003 |