Is the term corporate entrepreneurship an oxymoron? In other words, can corporations—especially large ones—be innovative? Support your answer with examples.
Use the Internet to find an example of two corporate innovations—one brought about through autonomous strategic behavior and one developed through induced

strategic behavior. Which innovation seems to hold the most promise for commercial success and why?

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Consider the problem of minimizing f and g using the Newton method (NM) with ey = 1. (a) f (x) = a + bT x + -21xTCx, where a E IR, b E Ir , and C ›- O. (i) What is the minimizer x* of f? Is it unique? (ii) Show that NM converges to x* in just one iteration from any initialization x° E Rn. (b) f (x) = (x / a) — Iog(x), for a, x > 0, where log denotes the natural logarithm. (i) What is the minimizer x* of g? Is it unique? (ii) What are the values of the first 3 iterates generated by NM for a = 1 and x° = 1/2? (iii) What are the values of the first 3 iterates generated by NM for a = 1 and x° = 10? (iv) Find an interval I C R such that for a > 0 and x° E I, NM monotonically converges to x*.

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