The standard technique of reduced cost xing from linear programming is not trivially extensible to semideenite relaxations as the corresponding La-grange multipliers are usually not available. We propose a general technique for computing reasonable Lagrange multipliers to constraints which are not part of the problem description. Its specialization to the semideenite f?1;1g relaxation of quadra...

The standard technique of reduced cost fixing from linear programming is not trivially extensible to semidefinite relaxations as the corresponding Lagrange multipliers are usually not available. We propose a general technique for computing reasonable Lagrange multipliers to constraints which are not part of the problem description. Its specialization to the semidefinite {−1 1} relaxation of qua...

The paper concerns parameter dependent nonlinear optimal control problems, subject to state constraints of the first order. In recent papers of the author (see [1, 2, 3, 4]), weakened conditions are derived, under which the solutions and Lagrange multipliers of the problems are locally Lipschitz continuous and directionally differentiable functions of the parameter. The conditions consist of st...

High-speed parallel multipliers are one of the keys in RISCs (Reduced Instruction Set Computers), DSPs (Digital Signal Processors), and graphics accelerators and so on. Array multiplier, Booth Multiplier and Wallace Tree multipliers are some of the standard approaches used in implementation of binary multiplier which are suitable for VLSI implementation. A simple digital multiplier (henceforth ...

Adding steel braces to reinforced concrete frames is a common way for seismic rehabilitation of these structures. Due to ease of installation and the possibility of creating openings in the braced bays, this method of rehabilitation has been more preferred than using shear walls. In this paper, three experimental specimens including a reinforced concrete frame, a reinforced concrete frame with ...

PVC frame cutting process by guillotine is a common method that attracted attention of car parts and PVC decorating furniture producers. In this paper, the effects of main parameters such as cutting speed, lubricants and cutting frame holder pressure force on PVC frame section surface smoothness is investigated by experimental methods on a specified PVC frame sample and then by FEM simulation u...

An extension to the JPEG standard (ISO/IEC DIS 10918-3) allows spatial adaptive coding of still images. As with baseline JPEG coding, one quantization matrix applies to an entire image channel, but in addition the user may specify a multiplier for each 8x8 block, which multiplies the quantization matrix, yielding the new matrix for that block. WEG 1 and 2 use much the same scheme, except there ...

We propose a novel algebraic characterisation of the classical notion of validity in terms of boolean rings, called entailment multipliers. We demonstrate the existence of such multipliers and show how they can be used to derive stronger entailment statements. An interesting property of multipliers lies in their behaviour as invariants in a proof, a fact that is used to show how several inferen...