Signal suppression is a common problem in quantitative liquid chromatography/electrospray ionization multistage mass spectrometric (LC/ESI-MS(n)) analysis in environment samples, especially in highly loaded wastewater samples with highly complex matrix. Optimization of sample preparation and improvement of chromatographic separation are prerequisite to improve reproducibility and selectivity. M...

There is normally a simple choice made in the form of the covariance matrix to be used with HMMs. Either a diagonal covariance matrix is used, with the underlying assumption that elements of the feature vector are independent, or a full or block-diagonal matrix is used, where all or some of the correlations are explicitly modelled. Unfortunately when using full or block-diagonal covariance matr...

Despite Stock Option Plans’ (SOPs) widespread use, evidence regarding their use and their effectiveness is relatively sparse and typically relies on an agency theory perspective that emphasizes the principal’s interests in a market context. This study focuses on the agent as an individual who is involved in SOP management. Eighteen interviews with senior executives were conducted. Their respons...

An on-line learning rule, based on the introduction of a matrix momentum term, is presented, aimed at alleviating the computational costs of standard natural gradient learning. The new rule, natural gradient matrix momentum, is analysed in the case of two-layer feed-forward neural network learning viamethods of statistical physics. It appears to provide a practical algorithm that performs as we...

We show that a standard tool of probability theory, the Kronecker lemma, has matrix generalizations, but that one of these matrix generalizations is unsatisfactory, to the extent that unless certain extra conditions are placed on the matrix sequence appearing inthe lemma statement, the lemma maY fail to be t~e.

Within the Standard Model, leptonic D (or B) meson decays proceed via annihilation of the initial state quarks. The matrix element is described by the product of a hadronic current, a leptonic current, along with a W propagator. The form of the latter two are well-known within the Standard Model, however, the hadronic matrix element, which represents the annihilation of the initial state heavy ...

We describe a new proof of the well-known Lyapunov's matrix inequality about the location of the eigenvalues of a matrix in some region of the complex plane. The proof makes use of standard facts from quadratic and semi-deenite programming. Links are established between the Lyapunov matrix, rank-one LMIs and the Lagrange multiplier arising in duality theory.

We present a fast and numerically stable algorithm for computing the eigendecom-position of a symmetric block diagonal plus semiseparable matrix. We report numerical experiments that indicate that our algorithm is signiicantly faster than the standard method which treats the given matrix as a general symmetric dense matrix.