Published and Submitted papers

• A block Chebyshev-Davidson method with inner-outer restart for large eigenvalue problems,
  Y. Zhou, (submitted)
  
  
• Bounds on eigenvalue decay rates and sensitivity of solutions to Lyapunov equations,
  Y. Zhou, D.C. Sorensen, (submitted)
  
  
• Approximate Implicit Subspace Iteration with Alternating Directions for LTI system model reduction,
  Y. Zhou, D.C. Sorensen, (Numer. Linear Algebra Appl., to appear)
  
  
• 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, accepted)
  
  
• Block Krylov-Schur Method for Large Symmetric Eigenvalue Problems,
  Y. Zhou, Y. Saad. Numer. Alg., 47:341-359, (2008)
  
  
• A Chebyshev-Davidson algorithm for large symmetric eigenvalue problems,
  Y. Zhou, Y. Saad. SIAM J. Matrix Anal. Appl., 29, (2007), pp. 954-971, [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)
  
  
• 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)
  
  
• 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)
  
  
• 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)
  
  
• 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 (2006) pp. 172-184. [publisher link]
  
  
• Studies on Jacobi-Davidson, Rayleigh Quotient Iteration, Inverse Iteration Generalized Davidson and Newton Updates,
  Y. Zhou, Numer. Linear Algebra Appl., 13 (2006) pp. 621-642. [publisher link]
  
  
• Y. Zhou, R. Shepard, M. Minkoff, Computing eigenvalue bounds for iterative subspace matrix methods, [link]   [pdf] Comp. Phys. Comm., 167 (2005), pp. 90-102.
  
  
• R. Shepard, M. Minkoff, Y. Zhou, Software for computing eigenvalue bounds for iterative subspace matrix methods, [link] Comp. Phys. Comm., 170 (2005), pp. 109-114.
  
  
• D.C. Sorensen, Y. Zhou, Direct methods for matrix Sylvester and Lyapunov equations, [pdf]. J. of Applied Math., 6 (2003), pp. 277-303.
  
  
• A.C. Antoulas, D.C. Sorensen, Y. Zhou, On the decay rate of Hankel singular values and related issues, [pdf]. Systems and Control Letters, 46 (2002), pp. 323-342.
  
  

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]
  My 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. [link]