Krystyna Ziêtak: about me
Work experience
Masters' theses (1973--2011)
Ph.D. Thesis: "Rational functions in the alternating direction method"
(University of Wroclaw, 1972)
Habilitation: "Approximation of matrices and matrix equations"
(University of Wroclaw, 1990)
Research area: numerical linear algebra
Selected topics from the publications:
- optimal rational function used in the ADI method,
- rounding error analysis,
- double Chebyshev series for hypergeometric functions of two variables,
- approximation of matrices,
- overdetermined matrix equations,
- approximate generalized inverses,
- convex analysis in matrix spaces endowed with unitarily invariant norms,
- strict spectral approximation of matrices,
- zero-trace matrices,
- geometrical properties of solutions of overdetermined linear systems,
- polar decomposition of matrix - applications and algorithms,
- approximation by matrices with restricted spectra,
- algorithms for Zoltarev and ADI coefficients,
- algorithms for matrix sector function (Newton and Halley iterations, Schur-type methods)
- smoothing filters,
- Pade approximation,
- hypergeometric function,
- reciprocal of power series,
- Pade families of iterations for matrix sign and sector functions, and matrix pth roots
return
- (...)
- 1995-2001 Professor of University of Wroclaw
- 1996-1999 Deputy Director for Science Matters, Institute of Computer Science, University of Wroclaw
- 1992-1996, 1999-2001 Head of Division of Numerical Methods, Institute of Computer Science, University of Wroclaw
- 2001-2013 Professor of Wroclaw University of Technology
- 2013- Emeritus
Masters' theses (1973--2011)
Ph.D. Thesis: "Rational functions in the alternating direction method"
(University of Wroclaw, 1972)
Habilitation: "Approximation of matrices and matrix equations"
(University of Wroclaw, 1990)
Research area: numerical linear algebra
Selected topics from the publications:
- optimal rational function used in the ADI method,
- rounding error analysis,
- double Chebyshev series for hypergeometric functions of two variables,
- approximation of matrices,
- overdetermined matrix equations,
- approximate generalized inverses,
- convex analysis in matrix spaces endowed with unitarily invariant norms,
- strict spectral approximation of matrices,
- zero-trace matrices,
- geometrical properties of solutions of overdetermined linear systems,
- polar decomposition of matrix - applications and algorithms,
- approximation by matrices with restricted spectra,
- algorithms for Zoltarev and ADI coefficients,
- algorithms for matrix sector function (Newton and Halley iterations, Schur-type methods)
- smoothing filters,
- Pade approximation,
- hypergeometric function,
- reciprocal of power series,
- Pade families of iterations for matrix sign and sector functions, and matrix pth roots
return
http://prac.im.pwr.wroc.pl/~zietak