Randomized algorithms are a powerful tool for solving complex problems that are hard to solve deterministically. They use random choices or inputs to influence the behavior and output of the ...

Randomized algorithms have various applications in computer science and mathematics, such as cryptography, data structures, machine learning, optimization, and computational geometry.

Below, we discuss two randomized algorithms for the construction of the IDs of matrices. Algorithm I is designed to be used in situations where the adjoint A* of the m × n matrix A to be decomposed ...

An algorithm that uses random numbers to decide what to do next anywhere in its logic is called Randomized Algorithm. It employs a degree of randomness as part of its logic. Typically, this randomness ...

We present a new randomized algorithm for checking the satisfiability of a conjunction of literals in the combined theory of linear equalities and uninterpreted functions. The key idea of the ...

Randomized algorithms have become an essential tool in solving linear systems and least squares problems, particularly in large-scale applications. These algorithms leverage randomness to improve ...

We describe two recently proposed randomized algorithms for the construction of low-rank approximations to matrices, and demonstrate their application (inter alia) to the evaluation of the singular ...

We present a new randomized algorithm for checking the satisfiability of a conjunction of literals in the combined theory of linear equalities and uninterpreted functions. The key idea of the ...

We describe two recently proposed randomized algorithms for the construction of low-rank approximations to matrices, and demonstrate their application (inter alia) to the evaluation of the singular ...