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A bisection method for computing the H_infinity-norm of a transfer matrix and related problems
Transfer matrix singular value assessment the Hamiltonian matrix characteristic values of linear algebra
2015/8/13
Inspired by recent work of Byers we establish a simple connection between the singular values of a transfer matrix evaluated along the imaginary axis and the imaginary eigenvalues of a related Hamilto...
Computation of the maximum H_infinity-norm of parameter-dependent linear systems by a branch and bound algorithm
Calculation algorithm parameter linear system a branch and bound algorithm linear system
2015/8/12
For linear systems that contain unspecified parameters that lie in given intervals, we present a branch and bound algorithm for computing the maximum H_infinity-norm over the set of uncertain paramete...
$L^2$-norm and estimates from below for Riesz transforms on Cantor sets
$L^2$-norm estimates from below Riesz transforms Cantor sets
2011/1/18
The aim of this paper is to estimate the L2-norms of vector-valued Riesz trans-forms Rs
and the norms of Riesz operators on Cantor sets in Rd, as well as to study the distribution of values of Rs ...
Estimate of the $L^p$-Fourier Transform Norm on Strong *-Regular Exponential Solvable Lie Groups
Exponential Lie group Plancherel measure unitary representation coadjoint orbit $L^p$-Fourier transform
2007/12/13
We study the $L^{p}$-Fourier transform for a special class of exponential Lie groups, the strong $\ast$-regular exponential Lie groups. Moreover, we provide an estimate of its norm using the orbit met...
In this paper, the unitarily invariant norm $\|\cdot\|$ on $\BC^{m\times
n}$ is used. We first discuss the problem under what case, a
rectangular matrix $A$ has minimum condition number $K (A)=\| A ...
On the Norm of a Self-Adjoint Operator and a New Bilinear Integral Inequality
norm self-adjoint bilinear inequality Beta function
2007/12/11
In this paper, the expression of the norm of a self-adjoint integral operator $T:$ $% L^{2}(0,\infty )\rightarrow L^{2}(0,\infty )$ is obtained. As applications, a new bilinear integral inequality wit...