Experimental design principles can be used in natural resource management for greater efficiency in sensitivity analysis. Traditionally, practical application of these designs have been limited due to the availability of very specific designs. An approach to determine a design matrix for sensitivity analysis for any case is proposed. The methodology uses an objective function to minimize the di...

in the present paper, we introduce the sequence space [{l_p}(e,delta) = left{ x = (x_n)_{n = 1}^infty : sum_{n = 1}^infty left|  sum_{j in {e_n}} x_j - sum_{j in e_{n + 1}} x_jright| ^p < infty right},] where $e=(e_n)$ is a partition of finite subsets of the positive integers and $pge 1$. we investigate its topological properties and inclusion relations. moreover, we consider the problem of fin...

We studied the possibility of detection [Ru(η5-C5H5)(PPh3)2Cl] (abbreviated by RuCp) complex as a model system for Ru-based metallodrugs in human urine using matrix-assisted laser desorption/ionization time-of-flight mass spectrometry (MALDI-TOF MS) without previous purification or removal inorganic salts. Inorganic salts might prevent RuCp MALDI-TOF MS, most likely through increased number and...

We propose an algorithm to select parameter subset combinations that can be estimated using an ordinary least-squares (OLS) inverse problem formulation with a given data set. First, the algorithm selects the parameter combinations that correspond to sensitivity matrices with full rank. Second, the algorithm involves uncertainty quantification by using the inverse of the Fisher Information Matri...

We develop a general method for obtaining bounds for the sensitivity of the solution of the stable Lyapunov equation. Our arguments not only work simultaneously for both the continuous and the discrete time Lyapunov equations, they work equally well for more general equations that have been studied. Further, we obtain bounds valid for all unitarily invariant norms. x 1 Introduction In this note...

Leverage Scores. Statistical leverage scores were introduced in 1978 by Hoaglin and Welsch [8] to detect outliers when computing regression diagnostics, see also [3, 12]. To be specific, consider the least squares problem minx ‖Ax− b‖2, where A is a real m× n matrix with rank(A) = n. The so-called hat matrix H ≡ A(AA)A is the orthogonal projector onto range(A), and determines the fit b̂ ≡ Hb. Th...

A matrix iterative method is developed for modal sensitivify analysis of structures, which can be utilized ,a both distinct and repeated eigenvalue cases. The novel method needs only firs: order derivatives of the system motrices in the repeated e;genvalue case, and is easy to be implemented. A matrix iterative algorithm is presented based on the existence and uniqueness of the governing equati...