251 Lecture 20 Gaussian

251 Lecture 20 Gaussian - Gaussian Elimination Algorithm to...

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Click to edit Master subtitle style 4/14/11 Gaussian Elimination Algorithm to matrices: A = ½ times 1st row subtract from second 3/2 times 1st row, subtract from third And so forth 2 2 3 1 -2 0 3 1 1 2 2 3 0 -3 -3/2 0 -2 -7/2
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Click to edit Master subtitle style 4/14/11 Gaussian Elimination Algorithm to matrices: A = subtracting hjk/hkk where hkk is diagonal element. Factor hjk/hkk must be subtracted from the entire row. 2 2 3 1 -2 0 3 1 1 2 2 3 0 -3 -3/2 0 -2 -7/2
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Click to edit Master subtitle style 4/14/11 Gaussian Elimination Algorithm to matrices: Factor hjk/hkk must be subtracted. In matrix form – = 1 0 0 -1/2 1 0 -3/2 0 1 2 2 3 1 -2 0 3 1 1 2 2 3 0 -3 -3/2 0 -2 -7/2
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4/14/11 Gaussian Elimination Algorithm to matrices: Factor hjk/hkk must be subtracted. In matrix form – Lk = 1 … 1 - hk+1k/hk k … 1 … -hmk/hkk 1
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4/14/11 Gaussian Elimination Algorithm to matrices: Lm-1 … L2L1A = U Lk = 1 … 1 - hk+1k/hk k … 1 … -hmk/hkk 1
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4/14/11 Gaussian Elimination Algorithm to matrices: Lm-1 … L2L1A = U upper triangular Lk = 1 … 1 - hk+1k/hk k … 1 … -hmk/hkk 1
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4/14/11 Gaussian Elimination Algorithm to matrices: Lm-1 … L2L1A = U L-1 lower triangular Lk = 1 … 1 - hk+1k/hk k … 1 … -hmk/hkk 1
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4/14/11 Gaussian Elimination Algorithm to matrices: A = LU lower upper triangular Lk = 1 … 1 - hk+1k/hk k … 1 … -hmk/hkk 1
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This note was uploaded on 04/13/2011 for the course CSCE 211 taught by Professor Staff during the Spring '08 term at Columbia SC.

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251 Lecture 20 Gaussian - Gaussian Elimination Algorithm to...

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