Results 11 to 20 of about 86 (83)

Optimal Allocation of Observations in Stepped-Wedge and Other Cluster Studies With Correlated Cluster-Period Effects. [PDF]

open access: yesStat Med
ABSTRACT Stepped‐wedge studies usually entail regular sampling of clusters over time. Yet the precision of the treatment effect estimator can sometimes be improved if the regular sampling scheme is replaced by one with preferential allocation of observations to particular time‐epochs within each cluster. We present some exact results for optimizing the
Girling AJ, Watson SI.
europepmc   +2 more sources

Matrix Structures and Matrix Functions

open access: yes, 2023
Structured matrices play a relevant role in symbolic and numerical computations. In the literature and in applications we encounter several types of structure, which are typically related to the properties of the problems they stem from: banded structure
Boito P.
core   +1 more source

On the lp Norms of Hadamard Product of Cauchy-Toeplitz and Cauchy-Hankel Matrices

open access: yes, 1999
In this paper, we have established an upper and lower bounds for the ?p norms of Hadamard product of the matrices Hn and Tn where Hn and Tn are Cauchy-Hankel and Cauchy-Toeplitz matrices respectively.
Bozkurt D.
core   +1 more source

Transformation Techniques for Toeplitz and Toeplitz-plus-Hankel Matrices Part I. Transformations

open access: yes, 1996
Transformations of the form A to C1AC2 are investigated that transform Toeplitz and Toeplitz-plus-Hankel matrices into generalized Cauchy matrices. C1 and C2 are matrices related to the discrete Fourier transformation or to various real trigonometric ...
Heinig, George   +3 more
core   +1 more source

Parallel computation of polynomial GCD and some related parallel computations over abstract fields

open access: yes, 1996
Several fundamental problems of computations with polynomials and structured matrices are well known for their resistance to effective parallel solution.
Victor Y Pan, Pan, Victor Y
core   +1 more source

On moments of the derivative of CUE characteristic polynomials and the Riemann zeta function

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We study the derivative of the characteristic polynomial of N×N$N \times N$ Haar‐distributed unitary matrices. We obtain new explicit formulae for complex‐valued moments when the spectral variable is inside the unit disc, in the limit N→∞$N \rightarrow \infty$.
Nicholas Simm, Fei Wei
wiley   +1 more source

Discrete analogues of second‐order Riesz transforms

open access: yesJournal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Discrete analogues of classical operators in harmonic analysis have been widely studied, revealing deep connections with areas such as ergodic theory and analytic number theory. This line of research is commonly known as Discrete Analogues in Harmonic Analysis (DAHA).
Rodrigo Bañuelos, Daesung Kim
wiley   +1 more source

Steady‐State Spread Bounds for Graph Diffusion via Laplacian Regularisation in Networked Systems

open access: yesIET Networks, Volume 15, Issue 1, January/December 2026.
We study how an engineered initial pattern on a fixed network blurs under linear diffusion and provide a steady‐state upper bound on the resulting deviation. The bound cleanly separates an unavoidable floor set by network connectivity and diffusion strength from a design‐controlled term that shrinks when the initial pattern is smoothed with a graph ...
Ardavan Rahimian
wiley   +1 more source

The sharp upper bound for generation of linear semigroups by higher order equations with fractional powers

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract In this paper, we consider a class of higher‐order equations and show a sharp upper bound on fractional powers of unbounded linear operators associated with higher‐order abstract equations in Hilbert spaces.
Flank D. M. Bezerra   +2 more
wiley   +1 more source

New Inequalities and an Integral Expression for the 𝒜‐Berezin Number

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
This work examines a reproducing kernel Hilbert space XF,·,· constructed on a nonempty set F. Our investigation focuses on the A‐Berezin number and the A‐Berezin norm, where A denotes a positive bounded linear operator acting on XF. For an A‐bounded linear operator B, the A‐Berezin seminorm is defined by BberA=supλ,ν∈FBu∧λ,u∧νA, where u∧λ and u∧ν are ...
Salma Aljawi   +4 more
wiley   +1 more source

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