Results 81 to 90 of about 935 (254)

On equality of invariant subspace lattices of operators

open access: yes, 1991
Two linear operators A and B on a finite dimensional complex vector space have the same lattice of invariant subspaces if there exist an invertible operator S and a polynomial p such that B = S−1p(A)S, p′(λ) ≠ 0for every eigenvalue λ of A, and M is A ...
Ong, Sing-Cheong
core   +1 more source

Composition of Fractional Integral and Derivative Operators: Summarised in Tables

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT This paper compiles a complete, detailed list of composition properties for Riemann–Liouville fractional differintegrals, in all possible cases for orders anywhere in the complex plane, with the results presented clearly in a table for easy visual consumption.
Arran Fernandez
wiley   +1 more source

Characterization of invariant subspaces for a nilpotent linear operator that admit complementary invariant subspaces

open access: yesThe Electronic Journal of Linear Algebra
The aim of this work is to solve the problem of determining the necessary and sufficient conditions for a vector subspace invariant by a nilpotent endomorphism to admit a complementary invariant subspace for the same linear operator. As applications, we offer results about Jordan bases associated with nilpotent linear maps and reflexive generalized ...
openaire   +3 more sources

Invariant subspaces and new explicit solutions to evolution equations with quadratic nonlinearities

open access: yes, 1995
We present new explicit solutions to some classes of quasilinear evolution equations arising in different applications, including equations of the Boussinesq type:and quasilinear heat equations:The method is based on construction of finite-dimensional ...
Victor A. Galaktionov
core   +1 more source

A Magnetic Resonance Fingerprinting Approach for Simultaneous T1$$ {T}_1 $$‐ and PRFS‐Based 3D MR‐Thermometry

open access: yesMagnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose To evaluate a three dimensional dual echo magnetic resonance fingerprinting sequence for simultaneous proton resonance frequency shift (PRFS) and T1$$ {T}_1 $$ thermometry during microwave ablation with T1$$ {T}_1 $$ improving robustness near gas bubble induced susceptibility changes while PRFS provides high precision elsewhere ...
Moritz Gutt   +7 more
wiley   +1 more source

Invariant Subspaces of Short Pulse-Type Equations and Reductions

open access: yes
In this paper, we extend the invariant subspace method to a class of short pulse-type equations. Complete classification results with invariant subspaces from 2 to 5 dimensions are provided.
Guo-Hua Wang   +3 more
core   +1 more source

Fast and Robust Diffusion Posterior Sampling for MR Image Reconstruction Using the Preconditioned Unadjusted Langevin Algorithm

open access: yesMagnetic Resonance in Medicine, EarlyView.
ABSTRACT Purpose The Unadjusted Langevin Algorithm (ULA) in combination with diffusion models can generate high quality MRI reconstructions with uncertainty estimation from highly undersampled k‐space data. However, sampling methods such as diffusion posterior sampling (DPS) or likelihood annealing suffer from long reconstruction times and the need for
Moritz Blumenthal   +3 more
wiley   +1 more source

Weakly invariant subspaces for multivalued linear operators on Banach spaces

open access: yesJournal of Nonlinear Sciences and Applications, 2018
Summary: \textit{P. Saveliev} [Proc. Am. Math. Soc. 131, No. 3, 825--834 (2003; Zbl 1050.47009)] generalized Lomonosov's invariant subspace theorem to the case of linear relations. In particular, he proved that, if \(\mathcal{S}\) and \(\mathcal{T}\) are linear relations defined on a Banach space \(X\) and having finite dimensional multivalued parts ...
openaire   +3 more sources

On invariant subspaces of collectively compact sets of linear operators

open access: yes, 2011
Bir Banach uzayı üzerinde tanımlı sınırlı doğrusal operatörünün aşikar olmayan (yani ve ten farklı) kapalı (hiper)değişmez altuzaya sahip olup olmaması, ‘değişmez altuzay problemi’ olarak bilinir. Burada in bir altuzayının
Tunç MISIRLIOĞLU, Şafak ALPAY
core  

On the parametrization of conditioned invariant subspaces and observer theory

open access: yes, 2001
The present paper is an in depth analysis of the set of conditioned invariant subspaces of a given observable pair (C,A). We do this analysis in two different ways, one based on polynomial models starting with a characterization obtained in [P.A ...
Fuhrmann, P.A., Helmke, U.
core   +1 more source

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