We consider algorithms with access to an unknown matrix M ε F n×d via matrix-vector products , namely, the algorithm chooses vectors v 1 ⃛ q and observes Mv . Here i can be randomized as well chosen adaptively a function of i-1 Motivated by applications sketching in distributed computation, linear algebra, streaming models, connections areas such communication complexity property testing, we ini...

the well-known electro-mechanical analogy that equates current, voltage, resistance, inductance and capacitance to force, velocity, damping, spring constant and mass has a shortcoming in that mass can only be used to simulate a capacitor which has one terminal connected to ground. a new model that was previously proposed by the authors that combines a mass with a pulley (mp) is shown to simulat...

this article proposes a direct method for solving three types of integral equations with time delay. by using operational matrix of integration, integral equations can be reduced to a linear lower triangular system which can be directly solved by forward substitution. numerical examples shows that the proposed scheme have a suitable degree of accuracy.

in this paper we consider the solutions of linear systems of saddle point problems‎. ‎by using the spectrum of a quadratic matrix polynomial‎, ‎we study the eigenvalues of the iterative matrix of the hermitian and skew hermitian splitting method‎.

in the research we try to introduce “network matrix” in selecting optimizing portfolio for active management in investment companies, to evaluating obtained portfolio of this, with this aim that have high efficiency in relation to market portfolio efficiency. first matrix (portfolio) is value-growth stocks that are classified by standards p/e and p/b and second matrix (portfolio) are an aggress...