3 papers
math.AP2026
Commutator calculus and symbolic differentiation of matrix functions
Michal Bathory
We propose a functional calculus which allows one to apply functions to the matrix anti-commutator/commutator operator. The calculus is introduced in a straightforward manner if th…
math-ph2026
A new representation formula for the logarithmic corotational derivative -- a case study in application of commutator based functional calculus
Michal Bathory, Miroslav BulÃÄek, Josef Málek +1
The logarithmic corotational derivative is a key concept in rate-type constitutive relations in continuum mechanics. The derivative is defined in terms of the logarithmic spin tens…
math.AP2025
Sharp nonlinear estimates for multiplying derivatives of positive definite tensor fields
Michal Bathory
The simple product formulae for derivatives of scalar functions raised to different powers are generalized for functions which take values in the set of symmetric positive definite…