3 papers
math.NA2024
A Note on Generalized Locally Toeplitz Operators
V. B. Kiran Kumar, N. S. Sarathkumar
Generalized Locally Toeplitz (GLT) matrix sequences arise from large linear systems that approximate Partial Differential Equations (PDEs), Fractional Differential Equations (FDEs)…
math.FA2024
Korovkin-type approximation for non-positive operators
V. B. Kiran Kumar, M. N. N. Namboodiri, P. C. Vinaya
The classical Korovkin theorem traditionally relies on the positivity of the underlying sequence of operators. In 1968, D. E. Wulbert obtained a non-positive version by exploiting…
math.SP2023
A Note on Approximating the Symplectic Spectrum
V. B. Kiran Kumar, Anmary Tonny
The symplectic eigenvalues play a significant role in finite mode quantum information theory, and Williamson normal form proves to be a valuable tool in this area. Understanding th…