
Paper - George Karypis
... the top log p levels 1 , where p is the number of processors used to solve the problem. The portions of this binary supernodal tree are assigned to processors using a subtree-to-subcube strategy illustrated in Figure 3, where eight processors are used to solve the example matrix of Figure 2. The pr ...
... the top log p levels 1 , where p is the number of processors used to solve the problem. The portions of this binary supernodal tree are assigned to processors using a subtree-to-subcube strategy illustrated in Figure 3, where eight processors are used to solve the example matrix of Figure 2. The pr ...
Distributed Nash Equilibrium Seeking via the Alternating Direction
... ADMM algorithms, which are in the scope of this paper, have been developed in 1970s to find an optimal point of distributed optimization problems. This method has become widely used after its re-introduction in Boyd et al. (2011) such as He and Yuan (2012); Goldstein et al. (2014); Wei and Ozdaglar ...
... ADMM algorithms, which are in the scope of this paper, have been developed in 1970s to find an optimal point of distributed optimization problems. This method has become widely used after its re-introduction in Boyd et al. (2011) such as He and Yuan (2012); Goldstein et al. (2014); Wei and Ozdaglar ...
Genetic algorithm, particle swarm optimization and hybrid scheme
... such as genetic algorithm (GA) [2], particle swarm optimization (PSO) [3], ant colony optimization (ACO) [4], artificial neural network (ANN) [5] and artificial fish swarm algorithm (AFSA) [6], et al. These artificial intelligence methods have obtained successful applications on solving different ro ...
... such as genetic algorithm (GA) [2], particle swarm optimization (PSO) [3], ant colony optimization (ACO) [4], artificial neural network (ANN) [5] and artificial fish swarm algorithm (AFSA) [6], et al. These artificial intelligence methods have obtained successful applications on solving different ro ...
analysis of algorithms
... A graph is planar if it can be drawn on a sheet of paper so that none of the edges cross. We will find an effective algorithm to find if a given graph is planar or not? ...
... A graph is planar if it can be drawn on a sheet of paper so that none of the edges cross. We will find an effective algorithm to find if a given graph is planar or not? ...
Algorithm
In mathematics and computer science, an algorithm (/ˈælɡərɪðəm/ AL-gə-ri-dhəm) is a self-contained step-by-step set of operations to be performed. Algorithms exist that perform calculation, data processing, and automated reasoning.An algorithm is an effective method that can be expressed within a finite amount of space and time and in a well-defined formal language for calculating a function. Starting from an initial state and initial input (perhaps empty), the instructions describe a computation that, when executed, proceeds through a finite number of well-defined successive states, eventually producing ""output"" and terminating at a final ending state. The transition from one state to the next is not necessarily deterministic; some algorithms, known as randomized algorithms, incorporate random input.The concept of algorithm has existed for centuries, however a partial formalization of what would become the modern algorithm began with attempts to solve the Entscheidungsproblem (the ""decision problem"") posed by David Hilbert in 1928. Subsequent formalizations were framed as attempts to define ""effective calculability"" or ""effective method""; those formalizations included the Gödel–Herbrand–Kleene recursive functions of 1930, 1934 and 1935, Alonzo Church's lambda calculus of 1936, Emil Post's ""Formulation 1"" of 1936, and Alan Turing's Turing machines of 1936–7 and 1939. Giving a formal definition of algorithms, corresponding to the intuitive notion, remains a challenging problem.