Interval-Passing Algorithm for Non-Negative Measurement Matrices: Performance and Reconstruction Analysis

Interval Pseudo-Inverse Matrices and Interval Greville Algorithm

This paper investigates interval pseudo-inverse matrices. We state an Interval Greville algorithm and extensions with bisections for calculation of interval pseudo-inverse matrices and give the examples of interval pseudo-inversion application for estimation of solutions of systems of linear equations, and show applications for estimations of solutions and pseudo-solutions in a least squares se...

Performance Measurement and Method Analysis (PMMA) for Fingerprint Reconstruction

Fingerprint reconstruction is one of the most well-known and publicized biometrics. Because of their uniqueness and consistency over time, fingerprints have been used for identification over a century, more recently becoming automated due to advancements in computed capabilities. Fingerprint reconstruction is popular because of the inherent ease of acquisition, the numerous sources (e.g. ten fi...

Improvements on inequalities for non-negative matrices

We prove that there is an integer k :::; (n 2n + 4) /2 such that the diagonal entries of Ak are all positive for any non-negative irreducible n x n matrix A, and that there are integers i, j with 0 :::; i < j :::; 3n / 2 such that Ai :::; Aj for any non-negative n x n matrix A with no entry in (0,1) and n 2:: 2. The results of Wang and Shallit [Linear Algebra Appl. 290 (1999) 135-144] are thus ...

Fast Multiplication of Interval Matrices (Interval Version of Strassen's Algorithm)

Proposing a Robust Model of Interval Data Envelopment Analysis to Performance Measurement under Double Uncertainty Situations

It is very necessary to consider the uncertainty in the data and how to deal with it when performance measurement using data envelopment analysis. Because a little deviation in the data can lead to a significant change in the performance results. However, in the real world and in many cases, the data is uncertain. Interval data envelopment analysis is one of the most widely used approaches to d...