Results 71 to 80 of about 17,645 (222)
Abstract Modern longitudinal data from wearable devices consist of biological signals at high‐frequency time points. Distributed statistical methods have emerged as a powerful tool to overcome the computational burden of estimation and inference with large data, but methodology for distributed functional regression remains limited.
Cole Manschot, Emily C. Hector
wiley +1 more source
A Conforming Least Squares Approach for the Numerical Approximation of Parabolic Equations
ABSTRACT We propose a least squares formulation for the numerical approximation of parabolic partial differential equations, which minimizes the residual of the equation using the natural L2(0,T;H−1(Ω))$L^2(0,T;H^{-1}(\Omega))$ norm. In particular, we avoid making regularity assumptions on the problem's data.
Michael Hinze +2 more
wiley +1 more source
Frequency Response Analysis of State Space Models for Time Series Analysis
Abstract State space models are well‐suited for time series in which the evolution of variables cannot be well represented by deterministic basis functions. A key challenge in using state space models is the selection of the noise variance parameters. To better understand their impact on the model's filtering behavior, we derive the frequency response ...
Koen Haakman +2 more
wiley +1 more source
Thermal Resistance of 1D Micron‐Wide Interface Under External Force Modulation
A novel TET‐based technique is developed to characterize the interfacial thermal resistance at the microscale. The interfacial thermal resistance is measured at ≈1200–1400 mK/W for natural contact. Externally applied force reduces the thermal resistance dramatically down to ≈125 mK/W.
Amin Karamati +3 more
wiley +1 more source
Basing on a modification of the "Dichotomy Algorithm" (Terekhov, 2010), we propose a parallel procedure for solving tridiagonal systems of equations with Toeplitz matrices.
Terekhov, Andrew V.
core +1 more source
Toeplitz matrices commuting with tridiagonal matrices
Abstractwe prove that if R is a nonscalar Toeplitz matrix Ri, j=r∦i−j∦ which commutes with a tridiagonal matrix with simple spectrum, then rkr1=uk-1r2r1cos puk-1(cos p), k=4, 5,…, with Uk the Chebychev polynomial of the second kind, where p is determined from cos p=12r21−r1r3r22−r1r3.
openaire +2 more sources
Spectra of Tridiagonal Matrices
20 pages, 5 ...
Veerman, J. J. P. +2 more
openaire +2 more sources
Shell extremal eigenvalues of tridiagonal Toeplitz Matrices
The shell of a complex tridiagonal Toeplitz matrix is studied. Closed formulas for all quantities involved in its equation are presented. Necessary and sufficient conditions for a Toeplitz tridiagonal matrix to have shell extremal eigenvalues are given.
openaire +1 more source
Dispersion of First Sound in a Weakly Interacting Ultracold Fermi Liquid
The weak‐interaction, low‐temperature region of the phase diagram of a Fermi gas the so‐called Fermi liquid regime, which has been somewhat overlooked in ultracold gases‐is investigated. Precise and measurable predictions are presented for the viscosity and dispersion of first sound to leading order in the scattering length.
Thomas Repplinger +4 more
wiley +1 more source
On a Discrete Inverse Problem for Two Spectra
A version of the inverse spectral problem for two spectra of finite-order real Jacobi matrices (tridiagonal symmetric matrices) is investigated. The problem is to reconstruct the matrix using two sets of eigenvalues: one for the original Jacobi matrix ...
Gusein Sh. Guseinov
doaj +1 more source

