Published and Submitted papers
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A partitioned shift-without-invert algorithm improves parallel eigensolution
efficiency in real-space electronic transport,
B. Feldman, Y. Zhou, Computer Physics Communications, 207:105-113, (2016)
[publisher link]
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Accelerating Large partial EVD/SVD Calculations by Filtered Block Davidson Methods,
Y. Zhou, Z. Wang, A. Zhou, Science China Mathematics, 56:1635--1662, (2016)
[publisher link]
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A Block Chebyshev-Davidson Method for Linear Response Eigenvalue Problems,
Z. Teng, Y. Zhou, R.-C. Li, Advances in Computational Mathematics, 42:1103-1128, (2016),
[publisher link]
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On the ``preconditioning'' function used in plane-wave DFT calculations and its generalizations,
Y. Zhou, J. R. Chelikowsky, X. Gao, and A. Zhou, Communication in Computational Physics, 18:167-179, (2015)
[publisher link]
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Chebyshev-filtered subspace iteration method free of sparse diagonalization for solving the Kohn-Sham equation,
Y. Zhou, J. R. Chelikowsky, and Y. Saad, Journal of Computational Physics, 274:770-782, (2014)
[publisher link]
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Practical Acceleration for Computing the HITS ExpertRank Vectors,
Y. Zhou, Journal of Computational and Applied Mathematics, 236:4398-4409, (2012)
[publisher link]
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On the eigenvalues of specially low-rank perturbed matrices,
Y. Zhou, Applied Mathematics and Computation, 217:10267-10270, (2011)
[publisher link]
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Bounding the spectrum of large Hermitian matrices,
Y. Zhou, R-C. Li, Linear Algebra and its Applications, 435:480-493, (2011)
[publisher link]
- Bounds on eigenvalue decay rates and sensitivity of solutions
to Lyapunov equations,
Y. Zhou, D.C. Sorensen, (accepted)
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A block Chebyshev-Davidson method with inner-outer restart
for large eigenvalue problems,
Y. Zhou, Journal of Computational Physics, 229:9188-9200, (2010)
[publisher link]
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Algorithms for the electronic and vibrational properties of nanocrystals
J. R. Chelikowsky, A. T. Zayak, T.-L. Chan, M. L. Tiago, Y. Zhou, and Y. Saad,
Journal of Physics: Condensed Matter, 21:06427:1-7, (2009)
[publisher link]
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Pseudopotentials on Grids: Application to the Electronic, Optical,
and Vibrational Properties of Silicon Nanocrystals,
J. R. Chelikowsky, Y. Saad, T.-L. Chan, M. L. Tiago, A. T. Zayak, and Y. Zhou,
J. Computational & Theoretical Nanoscience, 6:1247-1261, (2009)
[publisher link]
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Dynamic multiple fault diagnosis with imperfect tests ,
S. Ruan, Y. Zhou, F. Yu, K. Pattipati, P. Willett, and A. Patterson-Hine.
IEEE Trans. on Systems, Man and Cybernetics, 39:1224 - 1236 (2009)
[publisher link]
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Block Krylov-Schur Method for Large Symmetric Eigenvalue Problems,
Y. Zhou, Y. Saad. Numer. Alg., 47:341-359, (2008)
[publisher link]
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Approximate Implicit Subspace Iteration with Alternating Directions
for LTI system model reduction,
Y. Zhou, D.C. Sorensen, Numer. Linear Algebra Appl., 15:873 - 886, (2008)
[publisher link]
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A Chebyshev-Davidson algorithm for large symmetric eigenvalue problems,
Y. Zhou, Y. Saad. SIAM J. Matrix Anal. Appl., 29:954-971, (2007)
[publisher link]
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Efficient first-principles calculations of the electronic structure
of periodic systems,
M. Alemany, M. Jain, M. L. Tiago, Y. Zhou, Y. Saad, J. R. Chelikowsky,
Comp. Phys. Comm., 177:339-347, (2007)
[publisher link]
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Algorithms for the evolution of electronic properties in nanocrystals,
J. R. Chelikowsky, M. L. Tiago, Y. Saad, Y. Zhou, Comp. Phys. Comm.,
177:1-5, (2007)
[publisher link]
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Parallel Self-Consistent-Field Calculations using Chebyshev-Filtered Subspace Acceleration,
Y. Zhou, Y. Saad, M. L. Tiago and J. R. Chelikowsky.
Physical Review E, 74:066704-1-8, (2006)
[publisher link],
[gscholar]
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Evolution of magnetism in iron from the atom to the bulk,
M. L. Tiago, Y. Zhou, M. Alemany, Y. Saad, and J. R. Chelikowsky.
Phys. Rev. Lett., 97, 147201, (2006)
[publisher link],
[gscholar]
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Diagonalization methods in PARSEC,
Y Saad, Y. Zhou, C. Bekas, M. Tiago and J. Chelikowsky.
Physica Status Solidi (b),
243:2188-2197, (2006)
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Self-Consistent-Field Calculations using Chebyshev-Filtered
Subspace Iteration,
Y. Zhou, Y. Saad, M. L. Tiago, J. R. Chelikowsky,
J. Comp. Phys., 219:172-184, (2006)
[publisher link],
[gscholar]
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Studies on Jacobi-Davidson, Rayleigh Quotient Iteration,
Inverse Iteration Generalized Davidson and Newton Updates,
Y. Zhou, Numer. Linear Algebra Appl., 13, pp. 621-642, (2006)
[publisher link],
[gscholar]
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Computing eigenvalue bounds for iterative subspace matrix methods,
Y. Zhou, R. Shepard, M. Minkoff,
Comp. Phys. Comm., 167, pp. 90-102, (2005)
[publisher link]
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Software for computing eigenvalue bounds for iterative subspace matrix methods,
R. Shepard, M. Minkoff, Y. Zhou, Comp. Phys. Comm., 170, pp. 109-114, (2005)
[publisher link]
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Direct methods for matrix Sylvester and Lyapunov equations,
D.C. Sorensen, Y. Zhou, J. of Applied Math., 6, pp. 277-303, (2003)
[publisher link]
[gscholar]
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On the decay rate of Hankel singular values and related issues,
A.C. Antoulas, D.C. Sorensen, Y. Zhou, Systems and Control Letters,
46, pp. 323-342, (2002)
[publisher link],
[gscholar]
Some Technical Reports
- Numerical Methods for Large Scale Matrix Equations
with Applications in LTI System Model Reduction,
Dissertation, May 2002. CAAM TR02-03, Rice University.
[link]
This thesis is also listed in MIT Model Order Reduction
webpage and in
modelreduction.com.
- Eigenvalue Computation from the Optimization Perspective:
On Jacobi-Davidson, IIGD, RQI, and Newton Updates,
ANL/MCS-P1074-0803, Argonne National Laboratory, (2004).
(The revised version is published in NLAA, Vol.13, pp. 621-642, (2006),
[publisher link])
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