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LU Decomposition in Linear Algebra by Shubham Jain is a document available to read on EtoBox.
What is LU Decomposition in Linear Algebra about?
The document discusses LU decomposition, a method to decompose a matrix A into lower triangular matrix L and upper triangular matrix U to solve systems of linear equations. It involves: 1) Decomposing the matrix A as A = L*U using Gaussian elimination. 2) Solving the system by first using forward substitution on L*d=b to get d, then back substitution on U*x=d to get x. 3) The method requires O(N^3) operations like Gaussian elimination but separates elimination from right side vector operations, making it m
- Author
- Shubham Jain
- Language
- EN