TBB #56: LU Decomposition (Doolittle Algorithm) - Matrix Factorization

Published: 20 December 2019
on channel: IQ95 The Homo Siliconiens
197
7

We will learn how to implement LU decomposition (Doolittle) or Matrix Factorization algorithm.
LU decomposition
https://en.wikipedia.org/wiki/LU_deco...

Permutation matrix
https://en.wikipedia.org/wiki/Permuta...

TBB #55: Scaled Partial Pivoting
   • TBB #55: Scaled Partial Pivoting - is...  

TBB #54: Optimization using Proxy Class and Indirect Indexing
   • TBB #54: Optimization Technique using...  

TBB #53: C++ Proxy Class and Indirect Indexing, a.k.a. Indirect Addressing
   • TBB #53: C++ Proxy Class and Indirect...  

TBB #52: Inverse Matrix in C++ - Round-off Error Handling
   • TBB #52: Inverse Matrix in C++ - Roun...  

TBB #51: Gauss-Jordan Elimination in C++ With Lower Triangular Matrix
   • TBB #51: Gauss-Jordan Elimination in ...  

TBB #50: Gauss-Jordan Elimination in C++ With Upper Triangular Matrix
   • TBB #50: The Gauss-Jordan Elimination...  

TBB #49: Partial Pivoting - Support for Complex Matrix Operation
   • TBB #49: Partial Pivoting - Support f...  

TBB #48: Improve Stability of Matrix Operations (Simple Pivot)
   • TBB #48: Improve Stability of Matrix ...  

TBB #47: Triangular Matrix in C++ - Upper Triangular Matrix
   • TBB #47: Triangular Matrix in C++ - U...  

TBB #46: Triangular Matrix in C++ - Lower Triangular Matrix
   • TBB #46: Triangular Matrix in C++ - L...  

TBB #45: System of Linear Equations with Back Substitution - Implementation
   • TBB #45: System of Linear Equations w...  

TBB #43: C++ Determinant of a Matrix Using Gaussian Elimination Algorithm
   • TBB #43: C++ Determinant of a Matrix ...  

TBB #40: C++ Gaussian Elimination Algorithm - Sequential Recursion
   • TBB #40: C++ Gaussian Elimination Alg...  

TBB #37: Vector Space over Complex Number Field and Tolerance
   • TBB #37: Vector Space over Complex Nu...  

TBB #01: Installing C++ Compilers and Environment Settings
   • TBB #01: Installing C++ Compilers and...  

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Episode 56
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Episode 55
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Episode 54
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Episode 53
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Episode 52
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Episode 51
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Episode 50
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Episode 49
http://www.talkplayfun.com/download/t...

Episode 48
http://www.talkplayfun.com/download/t...

Episode 47
http://www.talkplayfun.com/download/t...

Episode 46 - Lower Triangular Matrix
http://www.talkplayfun.com/download/t...

Episode 45 - System of Linear Equations with Back Substitution - Implementation
http://www.talkplayfun.com/download/t...


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