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- W1571330561 abstract "This chapter discusses Gaussian elimination for the solution of linear systems of equations. It focuses on the problem of obtaining the numerical solution of a linear system on a computer. There are two main classes of algorithms to obtain a solution to equation illustrated in the chapter: iterative methods and direct methods. Iterative methods define a sequence of approximations that are expected to be closer and closer to the true solution in some given norm, stopping the iterations by using some predefined criterion and obtaining a vector that is only an approximation of the solution. Direct methods try to compute the solution doing some combinations and modifications of the equations and after a finite number of floating point operations. As computer floating point operations are only done with a certain precision, the computed solution is generally different from the exact solution even with a direct method. The most used direct methods for general matrices belong to a class collectively known as “Gaussian elimination.”" @default.
- W1571330561 created "2016-06-24" @default.
- W1571330561 creator A5038039221 @default.
- W1571330561 date "2000-01-01" @default.
- W1571330561 modified "2023-09-25" @default.
- W1571330561 title "Gaussian elimination for the solution of linear systems of equations" @default.
- W1571330561 cites W1495595412 @default.
- W1571330561 cites W1497459357 @default.
- W1571330561 cites W1510015875 @default.
- W1571330561 cites W1560008807 @default.
- W1571330561 cites W1964724571 @default.
- W1571330561 cites W1966320607 @default.
- W1571330561 cites W1966476169 @default.
- W1571330561 cites W1968235986 @default.
- W1571330561 cites W1968790306 @default.
- W1571330561 cites W1971081766 @default.
- W1571330561 cites W1971321752 @default.
- W1571330561 cites W1971342703 @default.
- W1571330561 cites W1973101972 @default.
- W1571330561 cites W1973374823 @default.
- W1571330561 cites W1974288480 @default.
- W1571330561 cites W1974891623 @default.
- W1571330561 cites W1976662650 @default.
- W1571330561 cites W1976964180 @default.
- W1571330561 cites W1978723563 @default.
- W1571330561 cites W1978811976 @default.
- W1571330561 cites W1980416455 @default.
- W1571330561 cites W1980629456 @default.
- W1571330561 cites W1980677368 @default.
- W1571330561 cites W1981031390 @default.
- W1571330561 cites W1982017360 @default.
- W1571330561 cites W1982180670 @default.
- W1571330561 cites W1982983417 @default.
- W1571330561 cites W1983240783 @default.
- W1571330561 cites W1984176077 @default.
- W1571330561 cites W1984921897 @default.
- W1571330561 cites W1985260910 @default.
- W1571330561 cites W1985982749 @default.
- W1571330561 cites W1986071595 @default.
- W1571330561 cites W1986125951 @default.
- W1571330561 cites W1986942951 @default.
- W1571330561 cites W1986944014 @default.
- W1571330561 cites W1987177655 @default.
- W1571330561 cites W1987374018 @default.
- W1571330561 cites W1988420772 @default.
- W1571330561 cites W1988425770 @default.
- W1571330561 cites W1988437637 @default.
- W1571330561 cites W1989242344 @default.
- W1571330561 cites W1989314419 @default.
- W1571330561 cites W1990474090 @default.
- W1571330561 cites W1992114390 @default.
- W1571330561 cites W1992421129 @default.
- W1571330561 cites W1992935334 @default.
- W1571330561 cites W1993274656 @default.
- W1571330561 cites W1993948534 @default.
- W1571330561 cites W1995111642 @default.
- W1571330561 cites W1995393679 @default.
- W1571330561 cites W1996121616 @default.
- W1571330561 cites W1996292746 @default.
- W1571330561 cites W1996471375 @default.
- W1571330561 cites W1996954068 @default.
- W1571330561 cites W1998276913 @default.
- W1571330561 cites W1999202513 @default.
- W1571330561 cites W1999928392 @default.
- W1571330561 cites W2000137329 @default.
- W1571330561 cites W2001824468 @default.
- W1571330561 cites W2002257715 @default.
- W1571330561 cites W2004656897 @default.
- W1571330561 cites W2005852796 @default.
- W1571330561 cites W2005882095 @default.
- W1571330561 cites W2006184207 @default.
- W1571330561 cites W2006681897 @default.
- W1571330561 cites W2007903522 @default.
- W1571330561 cites W2007966677 @default.
- W1571330561 cites W2008170215 @default.
- W1571330561 cites W2008859258 @default.
- W1571330561 cites W2008999625 @default.
- W1571330561 cites W2009867667 @default.
- W1571330561 cites W2010150079 @default.
- W1571330561 cites W2010906970 @default.
- W1571330561 cites W2012062489 @default.
- W1571330561 cites W2014256025 @default.
- W1571330561 cites W2015045768 @default.
- W1571330561 cites W2018549399 @default.
- W1571330561 cites W2019085232 @default.
- W1571330561 cites W2020017929 @default.
- W1571330561 cites W2020561008 @default.
- W1571330561 cites W2021150900 @default.
- W1571330561 cites W2021370706 @default.
- W1571330561 cites W2021820942 @default.
- W1571330561 cites W2022842990 @default.
- W1571330561 cites W2023521505 @default.
- W1571330561 cites W2024029196 @default.
- W1571330561 cites W2024768036 @default.
- W1571330561 cites W2025695688 @default.
- W1571330561 cites W2025715322 @default.
- W1571330561 cites W2025857468 @default.
- W1571330561 cites W2026139385 @default.