An%20Example%20for%20Illustrating%20Maximization%20of%20Rayleigh

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An Example for Illustrating Maximization of
Rayleighs Quotient

• Shyh-Kang Jeng
• Department of Electrical Engineering/
• Graduate Institute of Communication/
• Graduate Institute of Networking and Multimedia

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Rayleighs Quotient
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Rayleighs Quotient in Polar Coordinates
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Equation of the Ellipse in Polar Coordinates
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Inversion with Respect to the Unit Circle
x2
r
r
x1
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Ellipse and Its Inversion with Respect to the
Unit Circle
a 2, b 0.5
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Maximum and Minimum of Rayleighs Quotient