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Apr 1 |
comment |
Square root of a complex matrix commuting with a given one
Yes, but just a remark here: this holomorphic method provides an explicit formula that can be numerically calculated and approximated. The algebraic proofs above require the knowledge of unknown quantities, such as the minimal polynomial, or the Jordan form. Although perfect theoretically, an algebraic method for this problem will require a very large time to provide a simple approximation of a commuting square-root: the numerical cost of the determination of the minimal polynomial or of the Jordan form is huge, compared to the simple algorithm to approximate a simple integral. |
Apr 1 |
answered | Square root of a complex matrix commuting with a given one |
Mar 18 |
asked | Embeddings of Sobolev spaces |
Mar 17 |
asked | Inequality for Laguerre polynomials |
Mar 13 |
answered | Multivariate Hermite Polynomials |
Mar 5 |
answered | Smooth but non-analytic kernel functions |
Mar 5 |
answered | Lower bounds for norms of commutators |
Mar 5 |
awarded | Yearling |
Mar 1 |
answered | Weak convergence in the space of Lipschitz Functions |
Feb 25 |
answered | Relationship of eigenvalue/eigenvector of hermitian matrix R and QRQ (Q is diagonal) |
Feb 21 |
comment |
Reflexive Besov spaces Bs,p,q
No: true only if $1\le p,q<+\infty.$ |
Feb 20 |
answered | General systems of linear differential equations with variable coefficients |
Feb 11 |
answered | When one can expect $\widehat{(fg)} = \hat{f} \ast \hat{g}$; $f, g\in L^{1} (G)$? |
Feb 11 |
answered | wavefront is a coisotropic |
Feb 9 |
answered | Real-analytic variant of theorem 4.2.5 of Duistermaat's “FIO”, 1996 |
Feb 3 |
answered | Estimate the analytical wavefront set $WF_A(u)$ given $WF_A(A_K u)$ |
Jan 30 |
answered | Practical way to check whether a distribution is conormal |
Jan 30 |
comment |
A question which belongs to a class of Zygmund functions
The book Fourier Analysis and Nonlinear Partial Differential Equations, Grundlehren Vol. 343 by Bahouri, Hajer, Chemin, Jean-Yves, Danchin, Raphaël contains plenty of information on basic Fourier analysis. |
Jan 29 |
answered | A question which belongs to a class of Zygmund functions |
Jan 28 |
asked | Positive kernel property |