Research activities

• Large scale linear systems and least squares problems
  • Large sparse matrices
  • Hierarchical, semiseparable, and other matrix structures
  • Discretized PDEs
  • Toeplitz systems
  • Dynamic system methods
    
• Large eigenvalue problems
  • O(n²) cost polynomial root finder
  • Fast estimation of distance to uncontrollability for control systems
  • Low-rank update eigensolver for supercell band structures
    
• Fast and reliable condition estimation
  • Structured linear systems and matrix equations
  • Matrix functions (exponentials,...)
  • Structured eigenvalue problems
    
• Numerical differential equations
  • Stable exponential ODE solvers
  • Vector form nonlinear methods
    
• Nonlinear systems