taylor expansion for multiple variables with orders

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Jenny Shen 2018-10-7

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https://ww2.mathworks.cn/matlabcentral/answers/422654-taylor-expansion-for-multiple-variables-with-orders

编辑： JSC 2018-10-8

Hi All If I have a function f(x,y). I want to taylor expasion it at [x0,y0] with x order up to N and Y order up to M and combined order up to K. How to do it? taylor(f,[x,y],[x0,y0],[N,M], absolutOrder=K)?

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JSC 2018-10-8

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Answer 1

JSC 2018-10-8

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https://ww2.mathworks.cn/matlabcentral/answers/422654-taylor-expansion-for-multiple-variables-with-orders#answer_340265

编辑：JSC 2018-10-8

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I think you can use

mtaylor(f,[x=x0,y=y0],absolutOrder=K,[weight_x,weight_y])

where the vector [weight_x,weight_y] sets the order of x to K/weight_x and the order of y to K/weight_y. So you could try weight_x = K/N and weight_y = K/M. But the weights must be positive integers, so not every value for N and M is possible.