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Journal of Advances in Mathematics and Computer Science

Published by SCIENCEDOMAIN international · ISSN (electronic) 2456-9968

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1,763

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2026 articles

1,763

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Articles (1763)

Solving Interval Linear Equations with Modified Interval Arithmetic

Mehdi Allahdadi & Zohreh Khorram · Journal of Advances in Mathematics and Computer Science · 2015

Gaussian elimination method is one of the widely used methods for solving linear equations. An interval version of Gaussian elimination method has been used by simply replacing each real arithmetic step by the corresponding interval arithmetic step. Two interval arithmetics techn...

Open access Research Article 10.9734/BJMCS/2015/18825

Determining the Effects of Cross-over Point on the Running Time of Strassen Matrix Multiplication Algorithm

S. C. Agu & T. A. Atabong · Journal of Advances in Mathematics and Computer Science · 2015

This paper studies Strassen’s algorithms for fast multiplication of two finite dimensional matrices. However, one pertinent issue that has deterred Strassen’s scheme from been considered for practical usage is determining the cross-over point. In this light, large matrices with d...

Open access Research Article 10.9734/BJMCS/2015/18772

A Fourth-Order Nonlinear Conjugate Gradient Method in Large Scale Optimization

Nwaeze Emmanuel · Journal of Advances in Mathematics and Computer Science · 2015

This paper is presenting a fourth-order nonlinear conjugate gradient method in large scale optimization. This method solves unconstrained optimization problems. It is based on a nonlinear polynomial approximation of the objective function. The idea is to approximate the minimizin...

Open access Research Article 10.9734/BJMCS/2015/18694

Witt Groups of P1

Sarrage Mouhamad, Khalil Houssam, Hossein Mouhamad & Ezzaldine Hayssam · Journal of Advances in Mathematics and Computer Science · 2015

In this paper we calculate the Witt groups of P1. It's a known result, but we calculate it by another method: we use the localisation theorem of Balmer and the excision theorem of S. Gille.

Open access Research Article 10.9734/BJMCS/2015/18366

A Note on Guaranteed Stable Recovery of Sparse Signal in Compressed Sensing via the RIP of Orders

Hiroshi Inoue · Journal of Advances in Mathematics and Computer Science · 2015

In this paper, we shall continue a study of the CS-recovery of signals studied in [1]. Under the assumption that a m × n matrix A obeys the RIP of order s we decompose the space of unknown vectors into sets M0; M1; · · · ;M7 de ned by a bias function px on a good location T0 = {1...

Open access Research Article 10.9734/BJMCS/2015/18237

On Linear Harbourne Constants

Justyna Szpond · Journal of Advances in Mathematics and Computer Science · 2015

In this note we compute values of global linear Harbourne constants over arbitrary fields for up to ten lines. These invariants have appeared recently in the discussions around the Bounded Negativity Conjecture, see [1]. They seem to be of independent interest also from the point...

Open access Research Article 10.9734/BJMCS/2015/16922

Current Development of Historical Methods for Solving Linear Systems of Simultaneous Congruences

Yang Liu & Robert Goutte · Journal of Advances in Mathematics and Computer Science · 2015

Based on the very old methods of solving linear systems of simultaneous congruences, the Chinese Remainder Theorem is still an irreplaceable tool in Computing, Signal Processing and Information security. We demonstrate its potential by considering an example of an application con...

Open access Research Article 10.9734/BJMCS/2015/16683