Dr. Oskar Maria Baksalary

Profile

Academic positionLecturer, Assistant Professor, Researcher
Research fieldsAlgebra, Theory of Numbers, Algebraic Geometry,Geometry, Topology,Numerical Analysis, Optimization, Simulation
KeywordsOrthogonal and oblique projectors, r-potent matrices, Column and null subspaces of matrices, Angles and distances between subspaces, Multivariate analysis

Current contact address

CountryPoland
CityPoznan
InstitutionAdam Mickiewicz University
InstituteFaculty of Physics

Host during sponsorship

Prof. Dr. Götz TrenklerFakultät Statistik, Technische Universität Dortmund, Dortmund
Start of initial sponsorship01/11/2007

Programme(s)

2007Humboldt Research Fellowship Programme

Publications (partial selection)

2011Oskar Maria Baksalary, Goetz Trenkler: Rank formulae from the perspective of orthogonal projectors. In: Linear and Multilinear Algebra, 2011, 607-625
2010Oskar Maria Baksalary, Goetz Trenkler: Core inverse of matrices. In: Linear and Multilinear Algebra, 2010, 681-697
2010Oskar Maria Baksalary, Goetz Trenkler: Eigenspaces of the proper rotation matrices. In: International Journal of Mathematical Education in Science and Technology, 2010, 827-829
2010Oskar Maria Baksalary, Goetz Trenkler: Functions of orthogonal projectors involving the Moore--Penrose inverse. In: Computers & Mathematics with Applications, 2010, 764-778
2010Oskar Maria Baksalary, Goetz Trenkler: On a subspace metric based on a matrix rank. In: Linear Algebra and Its Applications, 2010, 1475-1491
2010Oskar Maria Baksalary, Goetz Trenkler: Subsets and subspaces. In: Applied Mathematics and Computation, 2010, 484-491
2009Oskar Maria Baksalary, George P. H. Styan: A philatelic introduction to the Doppler effect and some of its applications. In: The Erwin Schr\'odinger International Institute for Mathematical Physics (ESI) News, 2009, 4-11
2009Oskar Maria Baksalary, Goetz Trenkler: A projector oriented approach to the best linear unbiased estimator. In: Statistical Papers, 2009, 721-733
2009Oskar Maria Baksalary, Goetz Trenkler: Column space equalities for orthogonal projectors. In: Applied Mathematics and Computation, 2009, 519-529
2009Oskar Maria Baksalary, Goetz Trenkler: Eigenvalues of functions of orthogonal projectors. In: Linear Algebra and Its Applications, 2009, 2172-2186
2009Oskar Maria Baksalary, George P.H. Styan & Goetz Trenkler: On a matrix decomposition of Hartwig and Spindelboeck. In: Linear Algebra and Its Applications, 2009, 2798-2812
2009Oskar Maria Baksalary, Goetz Trenkler: On angles and distances between subspaces. In: Linear Algebra and Its Applications, 2009, 2243-2260
2009Oskar Maria Baksalary, Goetz Trenkler: Revisitation of the product of two orthogonal projectors. In: Linear Algebra and Its Applications, 2009, 2813-2833
2008Oskar Maria Baksalary, Jan Hauke & Charles R. Johnson: Polynomials satisfied by two linked matrices. In: Linear Algebra and Its Applications, 2008, 2335-2339
2008Oskar Maria Baksalary, Goetz Trenkler: An alternative approach to characterize the commutativity of orthogonal projectors. In: Discussiones Mathematicae -- Probability and Statistics, 2008, 113-137
2008Oskar Maria Baksalary, Julio Benitez: On linear combinations of two commuting hypergeneralized projectors. In: Computers & Mathematics with Applications, 2008, 2481-2489
2008Oskar Maria Baksalary: Revisitation of generalized and hypergeneralized projectors. In: Bernhard Schipp, Walter Kraemer, Statistical Inference, Econometric Analysis and Matrix Algebra. Festschrift in Honour of Goetz Trenkler. Springer, 2008. 317-324
2008Oskar Maria Baksalary, Ka Lok Chu, Simo Puntanen & George P.H. Styan: Some comments on Fisher's alpha index of diversity and on Kazwini's Cosmography. In: Bernhard Schipp, Walter Kraemer, Statistical Inference, Econometric Analysis and Matrix Algebra. Festschrift in Honour of Goetz Trenkler. Springer, 2008. 369-394
2008Oskar Maria Baksalary, George P.H. Styan: Some comments on the diversity of Vermeer paintings depicted on postage stamps. In: Discussiones Mathematicae -- Probability and Statistics, 2008, 65-83
2008Oskar Maria Baksalary, George P.H. Styan: Some comments on the life and publications of Jerzy K. Baksalary (1944--2005). In: Discussiones Mathematicae -- Probability and Statistics, 2008, 5-64