How can i solve an equation in matlab using Newton-Raphson method?

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I want to solve monotonically increasing function g(lambda)and has a unique zero,by Newton-Raphson method in matlab.The equation is : g(lambda)= -zm'*inv(M)*inv(inv(M)+lambda.*Q)*Q*inv(inv(M)+lambda.*Q)*inv(M)*zm; the variable is lambda

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Walter Roberson
Walter Roberson 2011-11-28
A specific Newton-Raphson routine is not provided in MATLAB (at least not that I have seen.) You can find MATLAB coding for it in a number of places.
I have to ask, though, whether any efficiency gains you might hypothetically gain using this instead of using fzero() will be worth the time you spend programming and debugging this? (I am not convinced that NR would be any faster than fzero()'s adaptive method, but that is a different point.) Has using NR been imposed on you? Or did fzero() fail?
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Walter Roberson
Walter Roberson 2011-11-28
As cited above, http://www.mathworks.com/matlabcentral/answers/22336-code-assistance

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