Linear Algebra
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Recent papers in Linear Algebra
This is the 2nd Edition of the best-selling book "Introduction to Computational Mathematics".
VERSION EN INGLES
A method is presented for the recovery of optical flow. The key idea is that the local spatial structure of optical flow, with the exception of surface boundaries, is usually rather coherent and can thus be appropriately approximated by a... more
We look at the why of the how we identify linearly independent columns in a matrix.
THIS BOOK CONTAINS TOPICS RELATED TO LINEAR ALGEBRA AND VECTOR SPACES
All the important parameters of a truncated dodecahedron (having 20 congruent equilateral triangular & 12 congruent regular decagonal faces each of equal edge length) such as normal distances & solid angles subtended by the faces, inner... more
Abstract—The diffraction of E-polarized plane waves by a tandem impedance,slit waveguide is investigated rigorously by using the Fourier transform technique in conjunction with the Mode Matching method. This mixed method,of formulation... more
In cryptography, we know the symmetric key algorithms and asymmetric key algorithms. We know that the asymmetric key algorithm is more secure than the symmetric key algorithm. Affine Cipher uses a symmetric key algorithm. In this paper,... more
T I. INTRODUCTION HIS paper deals with some mathematical aspects of the discrete Fourier transform (DFT), studied with linear algebra and matrix theory methods. The vast majority of papers on the DFT have concerned computational issues,... more
We describe a new algorithm for Gaussian Elimination suitable for general (unsymmetric and possibly singular) sparse matrices, of any entry type, which has a natural parallel and distributed-memory formulation but degrades gracefully to... more
This is a second handwritten note on the business of changing from a basis to another basis and what that does to the coordinates of a vector. The example given here is that of spaces of polynomials whose degree not exceeding some bounds.
The assignment – selection problem used to find one-to- one match of given “Users” to “Laptops”, the main objective is to minimize the cost as per user requirement. This paper presents satisfactory solution for real assignment – Laptop... more
Tiling is one of the more important transformations for en-hancing locality of reference in programs. Intuitively, tiling a set of loops achieves the effect of interleaving iterations of these loops. Tiling of perfectly-nested loop nests... more
In this work the magic squares of order n are addressed from the perspective of linear algebra, vector space, "Magic Space" and some of its basis is presented. The case of sparse systems of equations that having more than one... more