Determine directly or use Algorithm 6.6 to find the Cholesky triangular matrix with positive diagonal elements, for the matrix [25 15 -51 A 15 18 0 1-5 0 11. LLT-factorization, in which LL is a lower
Determine directly or use Algorithm 6.6 to find the Cholesky triangular matrix with positive diagonal elements, for the matrix [25 15 -51 A 15 18 0 1-5 0 11. LLT-factorization, in which LL is a lower
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Determine directly or use Algorithm 6.6 to find the Cholesky \( LL^T \)-factorization, in which \( LL \) is a lower triangular matrix with positive diagonal elements, for the matrix
\[
A = \begin{bmatrix} 25 & 15 & -5 \\ 15 & 18 & 0 \\ -5 & 0 & 11 \end{bmatrix}
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe2f2c4bd-bf4c-4a3b-a0a2-6333c3306a45%2F27ffa9ac-f150-4acc-996a-61a3589971d9%2Fqlpt6yb_processed.png&w=3840&q=75)
Transcribed Image Text:Determine directly or use Algorithm 6.6 to find the Cholesky \( LL^T \)-factorization, in which \( LL \) is a lower triangular matrix with positive diagonal elements, for the matrix
\[
A = \begin{bmatrix} 25 & 15 & -5 \\ 15 & 18 & 0 \\ -5 & 0 & 11 \end{bmatrix}
\]
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