Results 31 to 40 of about 596 (116)
Accelerated water residual removal in MRS: Exploring deep learning versus fitting‐based approaches
Abstract PurposeRemoving water residual signals from MRS spectra is crucial for accurate metabolite quantification. However, currently available algorithms are computationally intensive and time‐consuming, limiting their clinical applicability. This work aims to propose and validate two novel pipelines for fast water residual removal in MRS. MethodsTwo
Federico Turco +2 more
wiley +1 more source
Es sei \(A=(a_{i,k}) (i,k=0,...,n-1)\) eine komplexe Matrix. Gilt mit komplexen Zahlen \(c_ 0,...,c_{2n-2}\) einerseits \(a_{i,k}=c_{i+k}\), so heißt A Hankel-Matrix, oder andererseits \(a_{i,k}=c_{n+i-k}\), so heißt A Toeplitz-Matrix. Schließlich wird A eine Loewner-Matrix genannt, wenn \(a_{i,k}=(c_ i-d_ k)(y_ i-z_ k)^{-1}\) entsprechend mit ...
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The Triangular Decomposition of Hankel Matrices [PDF]
An algorithm for determining the triangular decomposition H = R ∗ D R H = {R^ \ast }DR of a Hankel matrix H using O ( n 2 ) O({n^2}) operations is derived.
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Short‐TE MRSI at 3T enables reproducible metabolic mapping for tNAA, tCr, tCho, mI, and Glx; however, GABA+ mapping with edited MRSI remains challenging due to susceptibility to intermittent subject motion. Although 96% of regions from the short‐TE MRSI met quality control for major metabolites for at least one visit, only 82.5% of voxels of the GABA ...
Helge J. Zöllner +6 more
wiley +1 more source
Gradient Scheme Optimization for PRESS‐Localized Edited MRS Using Weighted Pathway Suppression
This study presents an optimized DOTCOPS‐based gradient scheme for PRESS‐localized edited MRS that integrates a volume‐based likelihood model to prioritize suppression of unwanted coherence transfer pathways. Using a dual‐penalty genetic algorithm, the scheme achieved a 197% increase in k‐space crushing efficiency and significantly reduced out‐of‐voxel
Gizeaddis L. Simegn +11 more
wiley +1 more source
Polynomials and Hankel matrices
Compatibility of a Hankel \(n\times n\)-matrix H and a polynomial f of degree m, \(m\leq n\), is defined. If \(m=n\), compatibility means that \(HC^ T_ f=C_ fH\) where \(C_ f\) is the companion matrix of f.
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This paper presents a robust H∞ decentralised and centralised control approach for a microsurgical manipulator using Particle Swarm Optimisation and Gravitational Search Algorithm (PSOGSA). The proposed fixed‐structure Proportional‐Integral‐Derivative (PID)‐based controllers address implementation challenges of conventional high‐order H∞ controllers ...
Somyot Kaitwanidvilai +2 more
wiley +1 more source
The dielectric characterisation method using an open circular waveguide, while widely recognised for its advantages, faces key limitations such as multiple solutions during data extraction and an imperfect calibration process. Our research introduces solutions that ensure convergence toward a unique result and enhance calibration accuracy, particularly
Baptiste Henriot +7 more
wiley +1 more source
Fast eigenvalue algorithm for Hankel matrices
A pioneering transfer of experience from the real symmetric matrices to their complex symmetric counterparts. NB: The idea could find a broad applicability [cf. PT symmetric quantum mechanics models in \textit{F. M. Fernandez, R. Guardiola, J. Ros}, and \textit{M. Znojil}, J. Phys. A: Math. Gen. 31, No. 50, 10105-10112 (1998) for a sample].
Luk, Franklin T., Qiao, Sanzheng
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Product of Rectangular Toeplitz (Hankel) Matrices
In this paper, we study products of asymmetric Toeplitz matrices, we give necessary and sufficient conditions for the product of two asymmetric Toeplitz matrices compatible sizes is asymmetric Toeplitz matrix. We also give some results related to the isometry.
Bensliman, S., Yagoub, A., Toumache, K.
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