pivoting strategies
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scholarly journals Comparing pivoting strategies for almost strictly sign regular matrices

2019 ◽  
Vol 354 ◽  
pp. 96-102 ◽  
Author(s):  
P. Alonso ◽  
J.M. Peña ◽  
M.L. Serrano
Keyword(s):  
Pivoting Strategies

scholarly journals Pivoting strategies for tough sparse indefinite systems

2013 ◽  
Vol 40 (1) ◽  
pp. 1-19 ◽  
Author(s):  
Jonathan D. Hogg ◽  
Jennifer A. Scott
Keyword(s):  
Indefinite Systems ◽  
Pivoting Strategies

scholarly journals Growth factors of pivoting strategies associated with Neville elimination

2011 ◽  
Vol 235 (7) ◽  
pp. 1755-1762 ◽  
Author(s):  
Pedro Alonso ◽  
Jorge Delgado ◽  
Rafael Gallego ◽  
Juan Manuel Peña
Keyword(s):  
Growth Factors ◽  
Pivoting Strategies ◽  
Neville Elimination

scholarly journals PERTURBATION THEORY FOR THE LU AND QR FACTORIZATIONS

2008 ◽  
Vol 49 (4) ◽  
pp. 451-461
Author(s):  
CHI-YE WU ◽  
TING-ZHU HUANG
Keyword(s):  
Perturbation Theory ◽  
Nonsingular Matrix ◽  
Lu Factorization ◽  
Pivoting Strategies

AbstractIn this paper we derive perturbation theorems for the LU and QR factors. Moreover, bounds for κL(A)/κL′(A) and κU(A)/κ′U(A) are given for the LU factorization of a nonsingular matrix. By applying pivoting strategies in the LU factorization, estimates for κL(PAQ)/κL′(PAQ) and κU(PAQ)/κ′U(PAQ) are also obtained.

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