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Given $mathbf V_t=mathbf v_tmathbf v_t^H$ where $mathbf v_t=left(e^{jtheta_{1}},e^{jtheta_{2}}right)^H$:begin{equation*}begin{array}{ll}underset{mathbf V}{operatorname{minimize}} & 1text { subject to } & operatorname{diag}(mathbf V)=1&|mathbf V|_*-operatorname{trace}left[boldsymbollambdaboldsymbollambda^Hleft(mathbf V-mathbf V_tright)right]-|mathbf V_t|_2leq...
Asked on 05/30/2021 by fengbiqian
0 answerThe function JacobiSVD and BDCSVD can calcuate condtion number of a dense matrix via singular values.However I need to know condition number of a sparese matrix due to slow...
Asked on 05/28/2021
0 answerI need to optimize a code where the most performance critical part is doing a 'change of basis', in other words it is an unitary similarity transformation on a big...
Asked on 05/28/2021 by Vittore Scolari
1 answerSay a system of ODEs describing a dynamical system, with solutions/state-space vectors ($x$, $y$, $theta$). If values of $y$ and $theta$ repeat but values of...
Asked on 05/27/2021
1 answerA problem I have had on my mind recently has been a compact way to compute the size of an $N$-Dimensional Polynomial basis of some order $p$, where a linear...
Asked on 05/26/2021 by spektr
2 answerSo imagine I have a $m$ vectors each of dimension $d$. Lets call them, $vec x_{i}$, with $i = 1, 2, 3, 4, 5, dots, m$....
Asked on 05/24/2021
1 answerI have a sparse $nxn$ matrix A with pretty interesting structure. It has a block structure with symmetric structure but asymmetric blocks. Expressed mathematically $A_{jk} = A_{kj}$ but...
Asked on 05/21/2021
0 answerAssume we have an (at least) 2nd-order differentiable energy $f(x), xin R^n.$ And $n$ is very big. Mathematically, I think it is impossible to find a point ...
Asked on 05/21/2021 by user3677630
0 answerI am trying to solve Stokes problem using Finite element method. My question is how to impose that total pressure over the surface is zero to remove the constant pressure...
Asked on 05/20/2021 by Eda Suresh Reddy
2 answerConsider the advection equation$$frac{partial u}{partial t}+c(x)frac{partial u}{partial x}=0.$$With periodic boundary condtitions in $x$ with period $L$, i.e. $u(x,t)=u(x+L,t)$ and initial condition $u(x,0)=f(x)$.We...
Asked on 05/18/2021
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