1.1. Lagrange Duality . . . . . . . . . . . . . . . . . . p. 2 1.1.1. Separable Problems – Decomposition . . . . . . . p. 7 1.1.2. Partitioning . . . . . . . . . . . . . . . . . . p. 9 1.2. Fenchel Duality and Conic Programming . . . . . . . . p. 10 1.2.1. Linear Conic Problems . . . . . . . . . . . . . p. 15 1.2.2. Second Order Cone Programming . . . . . . . . . p. 17 1.2.3. Semidefinite Progr...

This paper investigates novel evidence from Russian Verb-Stranding Verb Phrase Ellipsis (VVPE), and argues for its use as a probe into the syntactic structure of morphophonologically inseparable but morphosyntactically complex verbs. The first step is to distinguish internal argument drop from VVPE, because they appear identical on the surface. I present novel evidence that Russian internal arg...

We consider power system expansion planning under uncertainty. In our approach, integer programming and stochastic programming provide a basic framework. We develop a multistage stochastic programming model in which some of the variables are restricted to integer values. By utilizing the special property of the problem, called block separable recourse, the problem is transformed into a two-stag...

Estimation of time-varying regression model constrained at each time moment by linear inequalities is a natural statistical formulation of a wide class of nonstationary signal processing problems. The presence of linear constraints turns the originally quadratic three-diagonal problem of minimizing the residual squares sum, which is solvable by the linear Kalman-Bucy filtration-smoothing proced...

Monotone systems preserve a partial ordering of states along system trajectories and are often amenable to separable Lyapunov functions that are either the sum or the maximum of a collection of functions of a scalar argument. In this paper, we consider constructing separable Lyapunov functions for monotone systems that are also contractive, that is, the distance between any pair of trajectories...

A special ordered set approach for optimizing a discontinuous separable piecewise linear function, This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting galley proof before it is published in its fin...

In this paper, the separable programming problem subject to Fuzzy Relation Equation (FRE) constraints is studied. It is decomposed to two subproblems with decreasing and increasing objective functions with the same constraints. They are solved by the maximum solution and one of minimal solutions of its feasible domain, respectively. Their combination produces the original optimal solution. The ...