Dijkstra's algorithm is not suitable for graphs with negative edge weights as it assumes non-negative weights to guarantee correct results. Negative weights can lead to unexpected behavior and ...

Dijkstra’s algorithm was long thought to be the most efficient way to find a graph’s best routes. Researchers have now proved that it’s “universally optimal.” ...

In this article, iterative algorithms are investigated to solve the Riccati algebraic matrix equations arising in the context of linear quadratic (LQ) optimal control of discrete-time Markov jump ...

The picture is converted into a 384-bit key using SHA-384. This key and the chaotic matrix produced by a 1D chaotic system are combined to make the encryption key. The image’s three planes are split ...

Summary form only given. Smith normal form computation is important in many topics, e.g. group theory and number theory. For matrices over the rings Z and F/sub 2/[x], we introduce a new Smith normal ...

For decades, computer scientists working on negative-weight graphs tried to match the speed of Dijkstra’s algorithm with similar “combinatorial” algorithms. These involve discrete operations — like ...

Can artificial intelligence (AI) create its own algorithms to speed up matrix multiplication, one of machine learning’s most fundamental tasks? Today, in a paper published in Nature, DeepMind ...