Well known connections exist between the singular value decomposition of a matrix A and the Schur decomposition of its symmetric embedding sym(A) = ([ 0A ; A 0 ]). In particular, if σ is a singular value of A then +σ and −σ are eigenvalues of the symmetric embedding. The top and bottom halves of sym(A)’s eigenvectors are singular vectors for A. Power methods applied to A can be related to power...

We quantify the identifying power of special regressors in heteroskedastic binary regressions with median-independent or conditionally symmetric errors. We measure the identifying power using two criteria: the set of regressor values that help point identify coe¢ cients in latent payo¤s as in (Manski 1988); and the Fisher information of coe¢-cients as in (Chamberlain 1986). We …nd for median-in...

In this study we derive the general expression for the entries of the qth power (q 2 N) for one type of even order symmetric pentadiagonal matrices.

Today, electron leakage in InP-based separate confinement laser diode has a serious effect on device performance. Control of electron leakage current is the aim of many studies in semiconductor laser industry. In this study, for the first time, a new asymmetric waveguide structure with n-interlayer for a 1.325 μm InP-based laser diode with InGaAsP multi-quantum well is proposed and theoreticall...

In this paper we analyze and exactly compute the number of affine equivalence classes under permutations for quartic monomial rotation symmetric functions in prime and prime power dimensions.