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math.SP2022
Gradients of Quotients and Eigenvalue Problems
Marko Huhtanen, Olavi Nevanlinna
Intertwining analysis, algebra, numerical analysis and optimization, computing conjugate co-gradients of real-valued quotients gives rise to eigenvalue problems. In the linear Herm…
math.SP2012
Microspectral analysis of quasinilpotent operators
Jarmo Malinen, Olavi Nevanlinna, Jaroslav Zemánek
We develop a microspectral theory for quasinilpotent linear operators (i.e., those with $σ(Q) = \{0}$) in a Banach space. When such is not compact, normal, or nilpotent, th…