For a para-Hermitian rational matrix function ()=+(p−), where J=J∗ is invertible, and which has no poles and zeros on the imaginary line, we give nec... ACM Ran - 《Automatica》 被引量: 31发表: 2003年 New Condition for FD, All Filters, and New KYP Lemma This paper presents...
dA_{\alpha })\). These spaces will be called the weighted Bergman spaces. Let\({{\mathcal {B}}}_{\alpha }\)denote the shift operator on\(L_{a}^{2}(dA_{\alpha })\)which maps every\(f\in L_{a}^{2}(dA_{\alpha })\)tozf. If\(\alpha =0\), for convenience,...
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In the field ofnumerical analysis, thecondition numberof a function with respect to an argument measures how much the output value of the function can change for a small change in the input argument. This is used to measure howsensitivea function is to changes or errors in the input, and ...
Invertible condition of quantum Fisher information matrix for a mixed qubitQuantumOpticsEstimating multiparamter simultaneously as precise as possible is an important goal of quantum metrology. As a first step to this end, here we give a condition determining whether two arbitrary parameters can be ...
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(matrixname)specifiesavalidStatamatrixnamebywhichthecompanionmatrixAcanbe saved(seeMethodsandformulasforthedefinitionofthematrixA).Thedefaultisnottosave theAmatrix. graphcausesvarstabletodrawagraphoftheeigenvaluesofthecompanionmatrix. dlabellabelseacheigenvaluewithitsdistancefromtheunitcircle.dlabelcannotbe...
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First, for the population case, we establish a sufficient and almost necessary condition for the reference dictionary $\\mathbf D_0$ to be locally identifiable, i.e., a local minimum of the expected $l_1$-norm objective function. Our condition covers both sparse and dense cases of the ...
In this paper we prove that this additional condition is equivalent to the Hunt-Muckenhoupt-Wheeden condition (or, A(p)-condition) for a certain function sigma defined on [-1, 1], which is given in terms of phi(0). As an application, a necessary and sufficient criteria for the ...