In my lecture notes, I have found the notation $\|A\|_*$ for a matrix norm.
Do you know the name of this norm (such that I can read the definition of it), or do you even know the definition of it?
Thank you very much.
2026-03-25 07:43:04.1774424584
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What is this norm $\|A\|_*$ called and what is it?
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A similar asterisk notation is also used to represent the dual norm of a vector. See page 637 of Boyd & Vandenberghe's Convex Optimization. See also Dual norm intuition.
The OP specifies that this is a matrix norm, but just providing some references in case anyone is as confused as I was about the notation overload.
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This norm (according to conventional notations) is called the nuclear norm and is defined as $\|A\|_*=Tr(\sqrt{A^*A})$ where $A^*$ is the Hermitian conjugate of $A$.