New posts in matrix-norms

Is spectral radius = operator norm for a positive valued matrix?

matrices matrix-norms spectral-radius spectral-norm positive-matrices

Matrix Spectral Radius and Induced Matrix Norms

linear-algebra matrices eigenvalues-eigenvectors matrix-norms spectral-radius

Upper-bound for nuclear norm of $A \circ (v \otimes v)$ in terms of operator norm (or nuclear norm) of matrix $A$ and $L_\infty$-norm of vector $v$.

linear-algebra matrix-norms singular-values hadamard-product nuclear-norm

Are matrix $p$-norms unitary invariant?

linear-algebra matrices matrix-norms

Second order Taylor expansion of Frobenius norm

matrices taylor-expansion matrix-calculus matrix-norms matrix-analysis

How does one prove that the spectral norm is less than or equal to the Frobenius norm?

matrices normed-spaces matrix-norms spectral-norm

Derivative of L2 Norm of Matrix

linear-algebra matrices multivariable-calculus machine-learning matrix-norms

Show that $||A-BC||_F^2 = ||A||_F^2+||BC||_F^2 - 2tr(C^TB^TA)$

summation trace matrix-norms

Example of matrices that do not satisfy the submultiplicative property

matrices matrix-norms

Deriving the sub-differential of the nuclear norm

matrices convex-optimization matrix-norms nuclear-norm non-smooth-analysis

Upper bound on norm of Hermitian matrix

linear-algebra matrices matrix-norms hermitian-matrices

Operator norm calculation for simple matrix [closed]

matrices normed-spaces matrix-norms spectral-norm

Proving definition of norms induced by vector norms

linear-algebra matrices matrix-norms

Trace Norm properties

matrices normed-spaces matrix-norms nuclear-norm

Prove that the nuclear norm is convex

matrices convex-analysis normed-spaces matrix-norms nuclear-norm

Gradient of the $ {L}_{2, 1} $ Mixed Norm

linear-algebra matrices derivatives matrix-calculus matrix-norms

Why is the operator $2$-norm of a diagonal matrix its largest value?

linear-algebra matrices normed-spaces matrix-norms spectral-norm

Proving $||A^{-1} v || \geq ||A^{-1} u ||$ implies $||v|| \geq ||u||$.

linear-algebra positive-definite matrix-norms

Prove $\frac{1}{\sqrt{n}}\|A\|_{\infty} \leq\|A\|_{2} \leq \sqrt{m}\|A\|_{\infty} $

linear-algebra inequality normed-spaces matrix-norms equivalent-metrics

What are some usual norms for matrices?

linear-algebra matrices vector-spaces normed-spaces matrix-norms