Simple proof of existence of a complex eigenvalue of a complex square matrix …and yet another proof of the fundamental theorem of algebra with linear algebra

2021 ◽  
pp. 1-5
Author(s):  
Luis T. Magalhães
Keyword(s):  
Linear Algebra ◽  
Simple Proof ◽  
Fundamental Theorem ◽  
Complex Eigenvalue ◽  
Fundamental Theorem Of Algebra ◽  
Square Matrix

A Brouwer Type Coincidence Theorem and the Fundamental Theorem of Algebra

1984 ◽  
Vol 27 (4) ◽  
pp. 478-480 ◽  
Author(s):  
M. M. Dodson
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Simple Proof ◽  
Fundamental Theorem ◽  
Brouwer’S Fixed Point Theorem ◽  
Coincidence Theorem ◽  
Fundamental Theorem Of Algebra ◽  
Natural Generalisation ◽  
Brouwer's Fixed Point Theorem

AbstractIt is shown that a coincidence theorem which is a natural generalisation of Brouwer's fixed point theorem also gives a short and simple proof of the fundamental theorem of algebra.

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