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METHODS OF COUNTERFOILS:
DECOMPOSITION LU WITH PARTIAL
PIVOTEO
REALIZED FOR:FREDY ANDRES REYES SANCHEZ
DECOMPOSITION LU WITH PARTIAL PIVOTEO
Solve the following system of equations using the decomposition LU with pivoted partially:
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Taking the counterfoil increased of the equations:
Where the pivoted consists of taking the factors of the first column of the bigger one than the minor. We continue to the elimination ahead:
And we come to the triangular top counterfoil U:
With the factors that I obtained the triangular top counterfoil, I form the triangular counterfoil L, like that:
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Now L I operate on it with regard to the definition:
With the substitution ahead:
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And replacing:
This way:
This result can be replaced in the equation:
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With the substitution backward, we find the result of the mysteries:
BIBLIOGRAPHY
Solved of the Chapra, chapter 10, section of problems 10.2
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