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[quote="fairwind"]#ed_op#P#ed_cl#我知道Brouwer的定點定點#ed_op#/P#ed_cl##ed_op#P#ed_cl#但不太清楚下面的題目要如何著手#ed_op#/P#ed_cl##ed_op#P#ed_cl#希望大家能幫忙謝謝#ed_op#/P#ed_cl##ed_op#P#ed_cl#Let A be a n*n martix with all entries strictly positive.#ed_op#/P#ed_cl##ed_op#P#ed_cl#Use Brouwer's fix-point theorem to show that there is a#ed_op#/P#ed_cl##ed_op#P#ed_cl#number λ> 0 and vector x > 0 such that Ax = λx.#ed_op#/P#ed_cl##ed_op#DIV#ed_cl##ed_op#/DIV#ed_cl# [/quote]

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[數學] Brouwer的定點定理

由 fairwind 於星期一五月 14, 2007 8:20 pm

#ed_op#P#ed_cl#我知道Brouwer的定點定點#ed_op#/P#ed_cl##ed_op#P#ed_cl#但不太清楚下面的題目要如何著手#ed_op#/P#ed_cl##ed_op#P#ed_cl#希望大家能幫忙謝謝#ed_op#/P#ed_cl##ed_op#P#ed_cl#Let A be a n*n martix with all entries strictly positive.#ed_op#/P#ed_cl##ed_op#P#ed_cl#Use Brouwer's fix-point theorem to show that there is a#ed_op#/P#ed_cl##ed_op#P#ed_cl#number λ> 0 and vector x > 0 such that Ax = λx.#ed_op#/P#ed_cl##ed_op#DIV#ed_cl##ed_op#/DIV#ed_cl#