lecture 8: sparse matrix techniques for lp
TRANSCRIPT
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LECTURE 8:SPARSE MATRIX TECHNIQUES FOR LP1. Sparsity
2. Storage and execution operations
3. Minimal degree reordering algorithm
4. Band and envelope methods
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Sparse matrix
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Bottleneck for Solving LP
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Basic Concepts
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Basic Concepts
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Example
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Reducing Fill-ins
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Minimum Degree Reordering Algorithm
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Example
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Example
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Minimum Degree Reordering Algorithm
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Question
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Band Method
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Example
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Properties of Band
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Question
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Properties of Envelope
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Example
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Envelope Ordering Method
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Example
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Cuthill-McKee scheme
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Reverse Cuthill-McKee scheme
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Reverse Cuthill-McKee scheme
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Example
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Example
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Example
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Example
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Example
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Reverse Cuthill-McKee scheme
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RCM - starting node
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Peripheral node
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Pseudo-peripheral node finding algorithm