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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

2020
*
Scientia Et Technica
*

As a result

doi:10.22517/23447214.24617
fatcat:kbbzmiqhlrdebdyo2cce4smlhm
*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 ...##
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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

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

doi:10.1109/icra.2011.5980275
dblp:conf/icra/BadinoHPK11
fatcat:n67bg3dizzcv5cpkyiiwqkn3ky
*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*. ...##
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Contraction after small transients

2016
*
Automatica
*

We consider three generalizations

doi:10.1016/j.automatica.2016.01.018
fatcat:opwpquozznbqnafuznsmlj4sxu
*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 ...##
###
A comparison of alternative curve fitting techniques for different earthquake fault parameters of Iranian earthquakes

2021
*
Earth Sciences Research Journal
*

with the other regression

doi:10.15446/esrj.v24n4.72068
fatcat:6ahhq27do5ewniirx2bnlyxs4m
*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. ...##
###
Linear equations with unsymmetric systems of coefficients

1919
*
Transactions of the American Mathematical Society
*

If for a sequence { c¿ } the

doi:10.1090/s0002-9947-1919-1501113-9
fatcat:slayf44c7fgtdgjlhbpamfoety
*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 ...##
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Electric Vehicle Fast-Charging Station Unified Modeling and Stability Analysis in the dq Frame

2018
*
Energies
*

These kinds

doi:10.3390/en11051195
fatcat:lzj3ao53fvf7zjfgn62asmrqya
*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. ...##
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A (Strongly) Connected Weighted Graph is Uniformly Detectable based on any Output Node
[article]

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*. ...

##
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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]

2011
*
arXiv
*
pre-print

We obtain formulas for the covering and packing densities

arXiv:1111.7246v1
fatcat:6uq4jlceqvbstlnla2kx2nawnm
*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. ...##
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Algorithmic Thresholds for Refuting Random Polynomial Systems
[article]

2021
*
arXiv
*
pre-print

We also confirm the predictions

arXiv:2110.08677v1
fatcat:snhosyteenbvrlrryh4o5tgjee
*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. ...##
###
Fixed-Complexity Regularized Vector Precoding For The Multiuser Mimo Downlink Channel

2009
*
Zenodo
*

Publication

doi:10.5281/zenodo.41494
fatcat:hzehoqo64ng7tnluvz3c2geu4y
*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 . ...##
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Enlarged surface meshes and normalization conditions for columns and rows of matrices in the COSMO method

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. ...

##
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A contraction approach to input tracking via high gain feedback

2015
*
2015 54th IEEE Conference on Decision and Control (CDC)
*

This paper adopts a contraction approach to the analysis

doi:10.1109/cdc.2015.7403435
dblp:conf/cdc/HamadehSV15
fatcat:jcidmyvpfzfv3fwj3cbmya56qe
*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 eitherÃ or −gBC. ...##
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Dynamic behavior of dynamic translinear circuits: the linear time-varying approximation

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*. ...

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