The fast Fourier transform method and ill-conditioned matrices

FFT and Ill-conditioned Systems

Introduction The fast Fourier transform method and ill-conditioned matrices. We have studied the problem of calculating numerical solutions of the linear algebra equation, a*x=b, where a denotes an N*N ill-conditioned coefficient matrix. It is known that Gaussian elimination methods linked Read More …

Power Method and Inverse Power Method for Eigen Values and Eigen Vectors

power method and inverse power method

Introduction Power Method and Inverse Power Method for Eigen Values and Eigen Vectors. When looking for the greatest Eigen-pair, the power approach is usually used. The Inverse Power approach, on the other hand, is used to determine the smallest Eigen-pair. Read More …

Define Matrix Theory and Different Types of Matrixes

matrix theory and types of matrices

Matrix theory is important in a variety of scientific researches. It have been used in different areas of Physics, including classical mechanics, optics and quantum mechanics. The study of matrices also been used to investigate few physical phenomena, such as motion of rigid bodies. Also, in computers graphics have been used for developing 3-D models and projecting them on onto 2-D surfaces.

Define Cryptic Mining for Automatic Variable Key-based Cryptosystem

The AVK method is useful for low-power secure device communication, which is a key element of the internet of things. This paper examines and analyses the state of symmetric cryptosystems as well as the evolution of automatic variable key cryptosystems. It explains the framework of the AVK model and how to extend it using a parameterized method.

Gram Schmidt Orth-normalization Based Projection Depth

Gram Schmidt Orthonormalization

GSO (Gram-Schmidt Orth normalization) is based on depth function of Euclidean vector which can be proposed to compute the projection depth. The performance of GSO can be studied to exact and approximate algorithms, bivariate data (data from two variables) can be used to associate estimation namely Stahel-Donoho (S-D) location and scatter estimation. The efficiency can be checked by computing average misclassification error in discriminant analysis under real and stimulating environment.