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Análisis de algunas técnicas iterativas para sistemas de ecuaciones lineales y su estudio de la convergencia a través del número de condicionamiento

Fernando Mesa, Diana Marcela Devia Narváez, German Correa Vélez
2020 Scientia Et Technica  
As a result of the analysis and comparison in this document, depending on what is sought when solving a system of equations, either very large or small enough for our computer, we can choose an approximation  ...  At present, numerical analysis provides us with powerful tools to determine the solution of various problems whose mathematical model can be represented by a system of linear equations, these tools correspond  ...  ] 𝑛𝑜𝑟𝑚 (𝐴) = [2 3 1 6 4 2 1 1 1 ] • Sum Column 1= 2+6+1 = 9 • Sum Column 2= 3+4+1= 8 • Sum Column 3= 1+2+1= 4 So, we can conclude that the norm 1 of the matrix A, such that, norm (A, 1) is equal to  ... 
doi:10.22517/23447214.24617 fatcat:kbbzmiqhlrdebdyo2cce4smlhm

Page 63 of Mathematical Reviews Vol. , Issue 84a [page]

1984 Mathematical Reviews  
by a matrix eB with e small.  ...  Because of its importance relative to the system of equations dx /dt=Ax, x(0)=xX,, the author is interested in the calculation of the shifts in the eigenvalues and eigenvectors when the matrix A is perturbed  ... 

Fast and accurate computation of surface normals from range images

H. Badino, D. Huber, Y. Park, T. Kanade
2011 2011 IEEE International Conference on Robotics and Automation  
To obtain the tangent plane to the surface at a point, the traditional approach applies total least squares to its small neighborhood.  ...  We reformulate the traditional least squares solution to allow the fast computation of surface normals, and propose a new approach that obtains the normals by calculating the derivatives of the surface  ...  The first step consists in updating the previous window sum by a subtraction and addition of vector sums.  ... 
doi:10.1109/icra.2011.5980275 dblp:conf/icra/BadinoHPK11 fatcat:n67bg3dizzcv5cpkyiiwqkn3ky

Contraction after small transients

Michael Margaliot, Eduardo D. Sontag, Tamir Tuller
2016 Automatica  
We consider three generalizations of contraction with respect to a norm that allow contraction to take place after small transients in time and/or amplitude.  ...  Third, in some cases as we change the parameters in a contractive system it becomes a GCS just before it looses contractivity with respect to a norm.  ...  The matrix measure induced by the L ∞ norm is µ ∞ (A) = max{d 1 (A), . . . , d n (A)}, where d j (A) := A jj + ∑ 1≤i≤n i̸ =j |A ji |, (5) i.e., the sum of the entries in row j of A, with non diagonal elements  ... 
doi:10.1016/j.automatica.2016.01.018 fatcat:opwpquozznbqnafuznsmlj4sxu

A comparison of alternative curve fitting techniques for different earthquake fault parameters of Iranian earthquakes

Serkan Ozturk, Mohammad R. Ghassemi, Mahmut Sarı
2021 Earth Sciences Research Journal  
with the other regression norms.  ...  For this purpose, we tested different curve fitting methods in order to present the most proper empirical relationships between several seismic parameters for different fault systems.  ...  Acknowledgements The author wish to thank the anonymous reviewers for their useful and constructive suggestions in improving this paper.  ... 
doi:10.15446/esrj.v24n4.72068 fatcat:6ahhq27do5ewniirx2bnlyxs4m

Linear equations with unsymmetric systems of coefficients

A. J. Pell
1919 Transactions of the American Mathematical Society  
If for a sequence { c¿ } the sum £,-c\ converges, it is called the norm of { c¿ } . and the sequence is of finite norm.  ...  } on (a, b), and the system ( Z7» (x), dQ(a) (X; x) ) complete, then for any sequence {x<} of finite norm, and for any sequence[yi] such that {Ui{y)\ is of finite norm and {Q(o) (X; y) } is integrable  ... 
doi:10.1090/s0002-9947-1919-1501113-9 fatcat:slayf44c7fgtdgjlhbpamfoety

Electric Vehicle Fast-Charging Station Unified Modeling and Stability Analysis in the dq Frame

Xiang Wang, Zhengyou He, Jianwei Yang
2018 Energies  
These kinds of power electronic interfaced oscillation and instability issues are generally analyzed from the viewpoint of small disturbances by the method of eigenvalues based on the state space model  ...  Such oscillation instability issues appeared in railway traction and supply systems where pantograph rising has been reported, a swing of the peak value of the grid side voltage appears on the sinusoidal  ...  Conflicts of Interest: The authors declare no conflict of interest.  ... 
doi:10.3390/en11051195 fatcat:lzj3ao53fvf7zjfgn62asmrqya

A (Strongly) Connected Weighted Graph is Uniformly Detectable based on any Output Node [article]

Uduak Inyang-Udoh and Michael Shanks and Neera Jain
2022 arXiv   pre-print
In this paper we consider whether the unstable states of such systems can be observed from limited discrete-time measurement, that is, whether the discrete formulation of system is detectable.  ...  Further, we show that a parameter-varying or time-varying system remains uniformly detectable for a reasonable approximation of its state transition matrix, if the underlying graph structure is maintained  ...  at least one non-zero column sum.  ... 
arXiv:2209.13119v1 fatcat:x4s2ydlleveb3nql23elhdr33q

Page 1795 of Mathematical Reviews Vol. 56, Issue 5 [page]

1978 Mathematical Reviews  
It is proved that if the norm of the matrix of the initial system is small then the process con- verges to the exact solution of the system for any number of steps in the simple iteration method.”  ...  single-level iterative aggregation for matrices with small norm Avtomat. i Telemeh. 1977, no. 3, 107-110 (Russian.  ... 

The Laplacian lattice of a graph under a simplicial distance function [article]

Madhusudan Manjunath
2011 arXiv   pre-print
We obtain formulas for the covering and packing densities of a Laplacian lattice and deduce that in the space of Laplacian lattices of undirected connected multigraphs, the Laplacian lattices of highly  ...  The number of multigraphs with a given Laplacian lattice is controlled, in particular upper bounded, by the number of different Delaunay triangulations. iii.  ...  previous work in this topic.  ... 
arXiv:1111.7246v1 fatcat:6uq4jlceqvbstlnla2kx2nawnm

Algorithmic Thresholds for Refuting Random Polynomial Systems [article]

Jun-Ting Hsieh, Pravesh K. Kothari
2021 arXiv   pre-print
We also confirm the predictions of this lower bound in a limited setting by showing a lower bound on the canonical degree-4 sum-of-squares relaxation for refuting random quadratic polynomials.  ...  Consider a system of m polynomial equations {p_i(x) = b_i}_i ≤ m of degree D≥ 2 in n-dimensional variable x ∈ℝ^n such that each coefficient of every p_i and b_is are chosen at random and independently  ...  Finally, we would like to thank Sidhanth Mohanty and Jeff Xu for discussions on low-degree hardness and SoS lower bounds in general.  ... 
arXiv:2110.08677v1 fatcat:snhosyteenbvrlrryh4o5tgjee

Fixed-Complexity Regularized Vector Precoding For The Multiuser Mimo Downlink Channel

Maitane Barrenechea, Javier Del Ser, Mikel Mendicute, J.S. Thompson
2009 Zenodo  
Publication in the conference proceedings of EUSIPCO, Glasgow, Scotland, 2009  ...  Nevertheless, small values of τ yield denser perturbation lattices and hence the ability of the precoding scheme to reduce the norm of the transmitted signal is enhanced.  ...  To sum up, if at each iteration i the column of P with the maximum norm is selected, the value of A ii will be maximized, which is very likely result in a higher value for u 2 ii .  ... 
doi:10.5281/zenodo.41494 fatcat:hzehoqo64ng7tnluvz3c2geu4y

Enlarged surface meshes and normalization conditions for columns and rows of matrices in the COSMO method

O. Yu. Kupervasser, I. P. Kikot'
2011 Russian Journal of Physical Chemistry B  
In addition, the corrections proposed in this work provide a significant enhancement in the accuracy of numerical calculations.  ...  These methods make it possible to introduce larger surface meshes without loss of accuracy and perform fast calculations of the solvation energy and the Born radii in the SGB (Surface Generalized Born)  ...  elements of the matrix B (COSMO) are given by 1 − Q n and Q p are the sums of the negative and positive charges in the cavity, respectively.  ... 
doi:10.1134/s199079311109020x fatcat:2sgm74gvwrer3ccbyovp3c2zja

A contraction approach to input tracking via high gain feedback

Abdullah Hamadeh, Eduardo Sontag, Domitilla Del Vecchio
2015 2015 54th IEEE Conference on Decision and Control (CDC)  
This paper adopts a contraction approach to the analysis of the tracking properties of dynamical systems under high gain feedback when subject to inputs with bounded derivatives.  ...  This result is then used to demonstrate that the negative feedback connection of plants composed of two strictly positive real LTI subsystems in cascade can follow external inputs with tracking errors  ...  The binomial expansion of (Ã−gBC) k−1 results in a sum of 2 k−1 terms composed of the matrix products M 1 M 2 · · · M k−1 , with each M i eitherà or −gBC.  ... 
doi:10.1109/cdc.2015.7403435 dblp:conf/cdc/HamadehSV15 fatcat:jcidmyvpfzfv3fwj3cbmya56qe

Dynamic behavior of dynamic translinear circuits: the linear time-varying approximation

F.M. Diepstraten, F.C.M. Kuijstermans, W.A. Serdijn, P. van der Kloet, A. van Staveren, F.L. Neerhoff, C.J.M. Verhoeven, A.H.M. van Roermund
2001 IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications  
In this letter, the linear time-varying approximation is applied to describe the dynamic behavior of a second-order dynamic-translinear oscillator.  ...  Dynamic translinear circuits explore the exponential relation of transistors as a primitive for the synthesis of electronic circuits.  ...  Our results provide two parameter a; r to appropriately compensate for the tradeoff between matrix definite condition on feedback matrix and the norm inequality condition on delayed feedback matrix.  ... 
doi:10.1109/81.964423 fatcat:t7aiah7lmnd4blgtchdeqohmoi
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