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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