Conditional sign-solvability

Ela Sign - Consistency and Solvability of Constrained Linear Systems

Sign-solvable linear systems were introduced in modelling economic and physical systems where only qualitative information is known. Often economic and physical constraints require the entries of a solution to be nonnegative. Yet, to date the assumption of nonnegativity has been omitted in the study of sign-solvable linear systems. In this paper, the notions of signconsistency and sign-solvabil...

Truncated Sequential CFAR Detectors Using Weighted Sign and Weighted Conditional Sign Tests

In this paper we propose truncated sequential constant false alarm rate ( CFAR) detectors which are approximations of the optimum sequential sign and sequential conditional sign detectors. The particular approximations used here allow exact evaluation of the performances. These detectors form a test statistic by taking the weighted sum of the outputs of a hard-limiter in one case and a dead-zon...

Asymptotic sign-solvability, multiple objective linear programming, and the nonsubstitution theorem

In this paper we investigate the asymptotic stability of dynamic, multipleobjective linear programs. In particular, we show that a generalization of the optimal partition stabilizes for a large class of data functions. This result is based on a new theorem about asymptotic sign-solvable systems. The stability properties of the generalized optimal partition are used to extend a dynamic version o...

Group Solvability

Quasi - Exact Solvability

This paper surveys recent work on quasi-exactly solvable Schrr odinger operators and Lie algebras of diierential operators.