On the square root of quadratic matrices

محورهای موضوعی : Linear and multilinear algebra; matrix theory

A. Zardadi ¹

1 - Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-4697, Tehran, Iran

تاریخ دریافت : 1397/11/21 تاریخ پذیرش : 1398/04/11 تاریخ انتشار : 1398/05/10

کلید واژه: eigenvalue, matrix equation, Square root of matrix,

چکیده مقاله :

Here we present a new approach to calculating the square root of a quadratic matrix. Actually, the purpose of this article is to show how the Cayley-Hamilton theorem may be used to determine an explicit formula for all the square roots of $2\times 2$ matrices.

منابع و مأخذ:

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