Published and Submitted papers

• 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]
  
  
• 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]
  
  
• 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]
  
  
• 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]
  
  
• 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]
  
  
• Practical Acceleration for Computing the HITS ExpertRank Vectors,
  Y. Zhou, Journal of Computational and Applied Mathematics, 236:4398-4409, (2012) [publisher link]
  
  
• On the eigenvalues of specially low-rank perturbed matrices,
  Y. Zhou, Applied Mathematics and Computation, 217:10267-10270, (2011) [publisher link]
  
  
• 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)
  
  
• 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]
  
  
• 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]
  
  
• 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]
  
  
• 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]
  
  
• Block Krylov-Schur Method for Large Symmetric Eigenvalue Problems,
  Y. Zhou, Y. Saad. Numer. Alg., 47:341-359, (2008) [publisher link]
  
  
• 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]
  
  
• A Chebyshev-Davidson algorithm for large symmetric eigenvalue problems,
  Y. Zhou, Y. Saad. SIAM J. Matrix Anal. Appl., 29:954-971, (2007) [publisher link]
  
  
• 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]
  
  
• 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]
  
  
• 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]
  
  
• 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]
  
  
• Diagonalization methods in PARSEC,
  Y Saad, Y. Zhou, C. Bekas, M. Tiago and J. Chelikowsky. Physica Status Solidi (b), 243:2188-2197, (2006)
  
  
• 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]
  
  
• 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]
  
  
• Computing eigenvalue bounds for iterative subspace matrix methods,
  Y. Zhou, R. Shepard, M. Minkoff, Comp. Phys. Comm., 167, pp. 90-102, (2005) [publisher link]
  
  
• 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]
  
  
• 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]
  
  
• 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])