Asymptotic expansions for stationary distributions of perturbed semi-Markov processes
D Silvestrov, S Silvestrov - … II: Algebraic, Stochastic and Analysis Structures …, 2016 - Springer
New algorithms for computing asymptotic expansions for stationary distributions of
nonlinearly perturbed semi-Markov processes are presented. The algorithms are based on …
nonlinearly perturbed semi-Markov processes are presented. The algorithms are based on …
Inverting a matrix function around a singularity via local rank factorization
M Franchi, P Paruolo - SIAM Journal on Matrix Analysis and Applications, 2016 - SIAM
This paper proposes a recursive procedure, called the extended local rank factorization
(elrf), that characterizes the order of the pole and the coefficients of the Laurent series …
(elrf), that characterizes the order of the pole and the coefficients of the Laurent series …
[HTML][HTML] Inversion of operator pencils on Banach space using Jordan chains when the generalized resolvent has an isolated essential singularity
We assume that the generalized resolvent for a bounded linear operator pencil mapping
one Banach space onto another has an isolated essential singularity at the origin and is …
one Banach space onto another has an isolated essential singularity at the origin and is …
Inversion of operator pencils on Hilbert space
We consider a linear operator pencil with complex parameter mapping one Hilbert space
onto another. It is known that the resolvent is analytic in an open annular region of the …
onto another. It is known that the resolvent is analytic in an open annular region of the …
[HTML][HTML] The fundamental equations for the generalized resolvent of an elementary pencil in a unital Banach algebra
We show that the generalized resolvent of a linear pencil in a unital Banach algebra over the
field of complex numbers is analytic on an open annular region of the complex plane if and …
field of complex numbers is analytic on an open annular region of the complex plane if and …
[HTML][HTML] Some results on eigenvalues of finite type, resolvents and Riesz projections
M Franchi - Linear Algebra and its Applications, 2020 - Elsevier
The present paper considers a separable Hilbert space H and a bounded linear operator A:
H↦ H that has an eigenvalue of finite type at λ 0∈ C. Using the image and the kernel of …
H↦ H that has an eigenvalue of finite type at λ 0∈ C. Using the image and the kernel of …
Optimal splitting of Parseval frames using Walsh matrices
In 2014 Adam Marcus, Daniel Spielman and Nikhil Srivastava used random vectors to prove
a key discrepancy theorem and in so doing gave a positive answer to the long-standing …
a key discrepancy theorem and in so doing gave a positive answer to the long-standing …
[PDF][PDF] The resolution and representation of time series in Banach space
We describe a systematic procedure to calculate the resolvent operator for a linear pencil on
Banach space and thereby simplify, unify and extend known methods for resolution and …
Banach space and thereby simplify, unify and extend known methods for resolution and …
The Granger–Johansen representation theorem for integrated time series on Banach space
We prove an extended Granger–Johansen representation theorem (GJRT) for finite‐or
infinite‐order integrated autoregressive time series on Banach space. We assume only that …
infinite‐order integrated autoregressive time series on Banach space. We assume only that …
Resolvent and logarithmic residues of a singular operator pencil in Hilbert spaces
M Franchi - Linear Algebra and its Applications, 2022 - Elsevier
The present paper considers the operator pencil A (λ)= A 0+ A 1 λ, where A 0, A 1≠ 0 are
bounded linear mappings between complex Hilbert spaces and A 0 is neither one-to-one …
bounded linear mappings between complex Hilbert spaces and A 0 is neither one-to-one …