0
$\begingroup$

As the title says, I'm pretty confused how I can, in correct mathematical notation, note that the square root of each element of a matrix needs to be taken. If

$$ A \triangleq \left[ \begin{array}\\ x_1, x_2 \\ x_3, x_4 \end{array} \right] $$

what is the correct notation for $\sqrt{A}$ where $$ \sqrt{A} \triangleq \left[ \begin{array}\\ \sqrt{x_1}, \sqrt{x_2} \\ \sqrt{x_3}, \sqrt{x_4} \end{array} \right] ?$$

Essentially, what is the correct symbol I attach to $A$ to indicate element-wise square roots are to be taken?

$\endgroup$
2
  • 1
    $\begingroup$ Different contexts will use different notation for this idea. Sometimes, the notation $A^{\circ 1/2}$ is used. $\endgroup$ Aug 12 '20 at 21:12
  • $\begingroup$ Great! Also good to know what I'm referring to is the Hadamard root. If you post this as an answer, I'll accept it. $\endgroup$
    – RTbecard
    Aug 12 '20 at 21:19
0
$\begingroup$

Sometimes this is referred to as the Hadamard root and is referred to with notation $A^{\circ 1/2}$.

$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.