We present optimal parallel QR factorization algorithms with reduced communication overhead. QR factorization is widely applied to solve various problems in numerical linear algebra. Our focus is on ...

This MATLAB function efficiently computes the inverse of a square matrix using LU factorization. By decomposing the matrix into lower and upper triangular matrices, the function solves for the inverse ...

ABSTRACT: In this paper, an Optimal Predictive Modeling of Nonlinear Transformations “OPMNT” method has been developed while using Orthogonal Nonnegative Matrix Factorization “ONMF” with the ...

This article proposes an algorithmic method for testing divisibility, grounded in the relationships between the multiplication tables of consecutive divisors. The algorithm generates, through an ...

The quantum approximate optimization algorithm (QAOA) has the potential to approximately solve complex combinatorial optimization problems in polynomial time. However, current noisy quantum devices ...

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A version of this document that discusses the complex valued case can be found here . This material is probably best suited to students who have had a course in linear algebra already. Given a SPD ...