Scientific degrees

Habilitation in physics – 2018
Ph.D. in mathematics – 2005
Ph.D. in physics – 1999
M.Sc. in physics – 1995

Research interests

Keywords: matrix methods and their applications, generalized inverses, projections, partial orders

Some publications

• Oskar Maria Baksalary, Solvability of a system of linear equations – an approach based on the generalized inverses determined by the Penrose equations, Physica Scripta 99 (2024) 085250, https://doi.org/10.1088/1402-4896/ad6219
• Oskar Maria Baksalary, Götz Trenkler, On an inequality related to the volume of a parallelepiped, Examples and Counterexamples 6 (2024) 100155, https://doi.org/10.1016/j.exco.2024.100155
• Shuangzhe Liu, Götz Trenkler, Tõnu Kollo, Dietrich von Rosen, Oskar Maria Baksalary, Professor Heinz Neudecker and matrix differential calculus, Statistical Papers 65 (2024) 2605-2639, https://doi.org/10.1007/s00362-023-01499-w
• Dragana Cvetković-Ilić, Oskar Maria Baksalary, Honglin Zou, Inheritance of quasinilpotency and Drazin invertibility between a matrix and its entry, Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 118 (2024) 82, https://doi.org/10.1007/s13398-024-01583-2
• Oskar Maria Baksalary, K.C. Sivakumar, Götz Trenkler, On the Moore-Penrose inverse of a sum of matrices, Linear and Multilinear Algebra 71 (2023) 133-149, https://doi.org/10.1080/03081087.2021.2021132
• Oskar Maria Baksalary, Götz Trenkler, Diagonalization of the cross-product matrix, Examples and Counterexamples 4 (2023) 100118, https://doi.org/10.1016/j.exco.2023.100118
• Oskar Maria Baksalary, Götz Trenkler, On matrices whose Moore–Penrose inverse is idempotent, Linear and Multilinear Algebra 70 (2022) 2014-2026, https://doi.org/10.1080/03081087.2020.1781038
• Oskar Maria Baksalary, Götz Trenkler, An alternative look at the linear regression model, Statistical Papers 63 (2022) 1499-1509, https://doi.org/10.1007/s00362-021-01280-x
• Kezhen Zuo, Oskar Maria Baksalary, Dragana Cvetković-Ilić, Further characterizations of the co-EP matrices, Linear Algebra and its Applications 616 (2021) 66-83, https://doi.org/10.1016/j.laa.2020.12.029
• Oskar Maria Baksalary, Götz Trenkler, On formulae for the Moore-Penrose inverse of a columnwise partitioned matrix, Applied Mathematics and Computation 403 (2021) 125913, https://doi.org/10.1016/j.amc.2020.125913
• Oskar Maria Baksalary, Götz Trenkler, A partial ordering approach to characterize properties of a pair of orthogonal projectors, Indian Journal of Pure and Applied Mathematics 52 (2021) 323-334, https://doi.org/10.1007/s13226-021-00138-0
• Oskar Maria Baksalary, Götz Trenkler, The Moore-Penrose inverse – a hundred years on a frontline of physics research, The European Physical Journal H 46 (2021) 9, https://doi.org/10.1140/epjh/s13129-021-00011-y