1.5 Chebyshev Polynomials (Optional)

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1.5 Chebyshev Polynomials (Optional). 1.5.1 Properties of Chebyshev Polynomials. Property 1. Recurrence relation. Property 2. Leading Coefficient. Property 3. Symmetry. Property 4. Trigonometric Representation on [-1,1]. Property 5. Distinct Zeros in [-1,1]. - PowerPoint PPT Presentation

Transcript of 1.5 Chebyshev Polynomials (Optional)

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1.5 Chebyshev Polynomials (Option1.5 Chebyshev Polynomials (Optional)al)

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1.5.1 Properties of Chebyshev Polynomials

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Property 1. Recurrence relation

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Property 2. Leading Coefficient

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Property 3. Symmetry

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Property 4. Trigonometric Representation

on [-1,1]

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Property 5. Distinct Zeros in [-1,1]

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Property 6. Extreme Values

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1.5.2 Minimax

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1.5.3 Equally Spaced Nodes

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1.5.4 Chebyshev Nodes

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1.5.5 Runge Phenomenon

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1.5.7 Orthogonal Property1.5.7 Orthogonal Property

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