Spectral factorization is a prominent tool with several important applications in various areas of applied science. Wiener and Masani proved the existence matrix spectral factorization. Their theorem has been extended to multivariable case by Helson Lowdenslager. Solving problem numerically challenging both situations, also due its practical applications. Therefore, authors have developed algor...

There are various methods for obtaining the preference vector of pair-wise comparison matrix factors. These methods can be employed when the elements of pair-wise comparison matrix are crisp while they are inefficient for fuzzy elements of pair-wise comparison matrix. In this paper, a method is proposed by which the preference vector of pair-wise comparison matrix elements can be obtained even ...

In this paper we present a redesign of a linear algebra kernel of an interior point method to avoid the explicit use of problem matrices. The only access to the original problem data needed are the matrix-vector multiplications with the Hessian and Jacobian matrices. Such a redesign requires the use of suitably preconditioned iterative methods and imposes restrictions on the way the preconditio...