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An Inexact Feasible Quantum Interior Point Method for Linearly Constrained Quadratic Optimization [PDF]

open access: yesEntropy, 2023
Quantum linear system algorithms (QLSAs) have the potential to speed up algorithms that rely on solving linear systems. Interior point methods (IPMs) yield a fundamental family of polynomial-time algorithms for solving optimization problems. IPMs solve a
Zeguan Wu   +4 more
doaj   +2 more sources

On the relationship of interior-point methods

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1993
In this paper, we show that the moving directions of the primal-affine scaling method (with logarithmic barrier function), the dual-affine scaling method (with logarithmic barrier function), and the primal-dual interior point method are merely the Newton
Ruey-Lin Sheu, Shu-Cherng Fang
doaj   +2 more sources

An Interior-Point Method for Semidefinite Programming [PDF]

open access: yesSIAM Journal on Optimization, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Henry Wolkowicz   +2 more
exaly   +2 more sources

Sparse Approximations with Interior Point Methods [PDF]

open access: yesSIAM Review, 2022
Large-scale optimization problems that seek sparse solutions have become ubiquitous. They are routinely solved with various specialized first-order methods. Although such methods are often fast, they usually struggle with not-so-well conditioned problems.
Valentina De Simone   +4 more
openaire   +5 more sources

Robust Interior Point Method for Quantum Key Distribution Rate Computation [PDF]

open access: yesQuantum, 2022
Security proof methods for quantum key distribution, QKD, that are based on the numerical key rate calculation problem, are powerful in principle. However, the practicality of the methods are limited by computational resources and the efficiency and ...
Hao Hu   +4 more
doaj   +1 more source

Interior Point-Driven Throughput Maximization for TS-SWIPT Multi-Hop DF Relays: A Log Barrier Approach [PDF]

open access: yesSensors
This paper investigates a simultaneous wireless information and power transfer (SWIPT) decode-and-forward (DF) relay network, where a source node transmits data to a destination node through the assistance of multi-hop passive relays.
Yang Yu, Xiaoqing Tang, Guihui Xie
doaj   +2 more sources

Optimal operation of cascade hydropower station based on interior point method

open access: yesEnergy Reports, 2022
The optimal operation of cascade hydropower station is a hydropower system based on the optimal operation method of a single reservoir and considering the water relations between reservoirs.
Shuai Feng, Yun Zhu
doaj   +1 more source

Structure-Exploiting Interior Point Methods [PDF]

open access: yes, 2020
Interior point methods are among the most popular techniques for large scale nonlinear optimization, owing to their intrinsic ability of scaling to arbitrary large problem sizes. Their efficiency has attracted in recent years a lot of attention due to increasing demand for large scale optimization in industry and engineering.
Jurai Kardos   +2 more
openaire   +2 more sources

A Primal-Dual Interior-Point Method for Facility Layout Problem with Relative-Positioning Constraints

open access: yesAlgorithms, 2021
We consider the facility layout problem (FLP) in which we find the arrangements of departments with the smallest material handling cost that can be expressed as the product of distance times flows between departments.
Shunichi Ohmori, Kazuho Yoshimoto
doaj   +1 more source

Large-step predictor-corrector interior point method for sufficient linear complementarity problems based on the algebraic equivalent transformation

open access: yesEURO Journal on Computational Optimization, 2023
We introduce a new predictor-corrector interior-point algorithm for solving P⁎(κ)-linear complementarity problems which works in a wide neighbourhood of the central path.
Tibor Illés   +2 more
doaj   +1 more source

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