Results 11 to 20 of about 2,435 (235)

Matrix Shanks Transformations [PDF]

, 2019
Shanks' transformation is a well know sequence transformation for accelerating the convergence of scalar sequences. It has been extended to the case of sequences of vectors and sequences of square matrices satisfying a linear difference equation with ...
Claude, Brezinski, Redivo Zaglia, Michela   +1 more
core   +1 more source

Obtaining Pseudo-inverse Solutions With MINRES

, 2023
The celebrated minimum residual method (MINRES), proposed in the seminal paper of Paige and Saunders, has seen great success and widespread use in solving Hermitian (and complex-symmetric) linear systems. Unless the system is consistent, MINRES is not guaranteed to obtain the pseudo-inverse solution.
Liu, Yang, Milzarek, Andre, Roosta, Fred
openaire   +2 more sources

Rigorous numerics for nonlinear operators with tridiagonal dominant linear part [PDF]

, 2015
We present a method designed for computing solutions of infinite dimensional non linear operators $f(x) = 0$ with a tridiagonal dominant linear part. We recast the operator equation into an equivalent Newton-like equation $x = T(x) = x - Af(x)$, where $A$
Breden, Maxime, Desvillettes, Laurent, Lessard, Jean-Philippe   +2 more
core   +2 more sources

Pseudo-inverses of difference matrices and their application to sparse signal approximation

, 2015
We derive new explicit expressions for the components of Moore-Penrose inverses of symmetric difference matrices. These generalized inverses are applied in a new regularization approach for scattered data interpolation based on partial differential ...
Hoffmann, Sebastian, Plonka, Gerlind, Weickert, Joachim   +2 more
core   +1 more source

Frames and Pseudo-Inverses

Journal of Mathematical Analysis and Applications, 1995
A family \(\{f_i \}_{i\in I}\) in an infinite-dimensional Hilbert space \({\mathcal H}\) is called a Bessel sequence if \(\forall_{f\in {\mathcal H}} \sum_{i\in I} |\langle f,f_i \rangle|^2< \infty\). A Bessel sequence \(\{f_i \}_{i\in I}\) is called a frame if \[ \exists A>0:\;A|f|^2\leq \sum_{i\in I}|\langle f,f_i \rangle|^2, \qquad \forall f\in ...
openaire   +1 more source

Symmetric Regularization, Reduction and Blow-Up of the Planar Three-Body Problem

, 2012
We carry out a sequence of coordinate changes for the planar three-body problem which successively eliminate the translation and rotation symmetries, regularize all three double collision singularities and blow-up the triple collision.
Moeckel, Rick, Montgomery, Richard
core   +1 more source

Optimal Estimation of Several Linear Parameters in the Presence of Lorentzian Thermal Noise

, 2009
In a previous article we developed an approach to the optimal (minimum variance, unbiased) statistical estimation technique for the equilibrium displacement of a damped, harmonic oscillator in the presence of thermal noise.
Boynton P E, Hamilton W C, Jason H Steffen, Michael W Moore, Moore M W, Paul E Boynton   +5 more
core   +1 more source

Impact of Asymptomatic Intracranial Hemorrhage on Outcome After Endovascular Stroke Treatment

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Endovascular treatment (EVT) achieves high rates of recanalization in acute large‐vessel occlusion (LVO) stroke, but functional recovery remains heterogeneous. While symptomatic intracranial hemorrhage (sICH) has been well studied, the prognostic impact of asymptomatic intracranial hemorrhage (aICH) after EVT is less certain ...
Shihai Yang, Chengsong Yue, Zhuang Li, Xiaolei Shi, Haoxuan Zhu, Jie Yang, Linyu Li, Jiaxing Song, Shitao Fan, Gaoming Li, Wenzhe Sun, Zhixian Ye, Jiacheng Huang, Dahong Yang, Jinfu Ma, Xu Xu, Zhixi Wang, Lilan Wang, Guojian Liu, Fengli Li, Changwei Guo, Li Qi, Wenjie Zi   +22 more
wiley   +1 more source

Spectral Condition Numbers of Orthogonal Projections and Full Rank Linear Least Squares Residuals

, 2010
A simple formula is proved to be a tight estimate for the condition number of the full rank linear least squares residual with respect to the matrix of least squares coefficients and scaled 2-norms.
Grcar, Joseph F.
core   +1 more source

Moderators of the effects of exercise and manual therapy for people with knee and hip osteoarthritis: A secondary analysis of the MOA trial

Arthritis Care &Research, Accepted Article.
Objective This study aimed to investigate potential moderators influencing the effects of manual therapy and exercise therapy on pain and functional outcomes in individuals with knee and/or hip osteoarthritis, using data from the MOA trial. Design This is a secondary analysis of data from the MOA trial that compared the clinical effectiveness of manual
Daniel Cury Ribeiro, Sarah E. Lamb, J. Haxby Abbott   +2 more
wiley   +1 more source