We introduce the concept of frame of multipliers in Hilbert modules over pro-C∗-algebras and show that many properties of frames in Hilbert C∗-modules are valid for frames of multipliers in Hilbert modules over proC∗-algebras.

We use the ideas of generalized convexity. We focus our attention on the set of multipliers. We look for an interpretation of multipliers as generalized derivatives of the performance function associated with a dualizing parameterization of the given problem.

Digit-serial implementation styles are best suited for implementation of digital signal processing systems which require moderate sampling rates. Digit-serial multipliers obtained using traditional unfolding techniques cannot be pipelined beyond a certain level because of the presence of feedback loops. In this paper, an alternative approach for the design of digit-serial multipliers is present...

By selecting the largest possible value of k ∈ (n/2, 2n/3], we further reduce the AND and XOR gate complexities of the CRT-based hybrid parallel GF (2) polynomial basis multipliers for the irreducible trinomial f = u + u + 1 over GF (2): they are always less than those of the current fastest parallel multipliers – quadratic multipliers, i.e., n AND gates and n− 1 XOR gates. Our experimental res...

We prove that standard Gaussian random multipliers are expected to stabilize numerically both Gaussian elimination with no pivoting and block Gaussian elimination. Our tests show similar results where we applied circulant random multipliers instead of Gaussian ones.

Based on fast finite-impulse response (FIR) algorithms (FFAs), this paper proposes new parallel FIR filter structures, which are beneficial to symmetric coefficients in terms of the hardware cost, under the condition that the number of taps is a multiple of 2 or 3. The proposed parallel FIR structures exploit the inherent nature of symmetric coefficients reducing half the number of multipliers ...

Systems subjected to holonomic constraints follow quite complicated dynamics that could not be described easily with Hamiltonian or Lagrangian dynamics. The influence of holonomic constraints in equations of motions is taken into account by using Lagrange multipliers. Finding the value of the Lagrange multipliers allows to compute the forces induced by the constraints and therefore, to integrat...

We define, for a locally compact quantum group G in the sense of Kustermans– Vaes, the space of LUC (G) of left uniformly continuous elements in L∞(G). This definition covers both the usual left uniformly continuous functions on a locally compact group and Granirer’s uniformly continuous functionals on the Fourier algebra. We show that LUC (G) is an operator system containing the C∗-algebra C0(...