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What is the meaning of collocation method in math?

I. Definition of Orthogonal Similar Transforms

The basic theorem of Orthogonal Similar Transforms is as follows:

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Steps to convert a quadratic form into a standard form by using Orthogonal Similar Transforms are as follows:

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Example 1. Strong>II. Orthogonal Similarity Transforms

Example I. Orthogonal Similarity Transforms reduce the quadratic form to the standard form as follows:

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Three, Lagrange matching method

Lagrange matching method is mainly, the use of formulas, quadratic equations into standard equations. We through a sample problem to understand its definition, as follows:

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Division IV, Lagrange collocation method example

Above we have understood what is the Lagrange collocation method, and then let the Let's consolidate our knowledge through this example problem, as follows:

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