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Unified Matrix Treatment of Discrete Transforms

IEEE Transactions on Computers, 1979
An unified matrix treatment is developed for some discrete transforms such as Haar (HT), rationalized Haar (RHT), rapid (RT), modified Wash–Hadamard (MWHT), Hadamard– Haar (HHT)r, and rationalized Hadamard–Haar (RHHT)r. For RT a technique for recovering the data sequence from the transform vector is presented.
V. Vlasenko, K. R. Rao
openaire   +2 more sources

Matrix differential transformations

Applicable Analysis, 1997
Differential transformations can be used in order to transform solutions of a simple differential equation into solutions of a more complicated differential equation. That way one gets explicit representations for solutions of some special differential equations.
H. Florian, J. Püngel, W. Tutschke
openaire   +1 more source

A new method of matrix transformation. I. Matrix diagonalizations via involutional transformations

Journal of Mathematical Physics, 1979
It is shown that two matrices A and B of order n×n which satisfy a monic quadratic equation with two roots λ1 and λ2 are connected by ATAB=TABB where TAB=A+B−(λ1+λ2) I with I being the n×n unit matrix (Theorem 1). The condition for TAB to be involutional is that the anticommutator of ?=A−(1/2)(λ1+λ2) I and ?=B−(1/2)(λ1+λ2) is a c number (Theorem 2).
openaire   +2 more sources

Matrix Transformations

2021
Gokulananda Das, Sudarsan Nanda
openaire   +1 more source

Matrix Transformations and Factorizations

2017
In most applications of linear algebra, problems are solved by transformations of matrices. A given matrix (which represents some transformation of a vector) is itself transformed. The simplest example of this is in solving the linear system Ax = b, where the matrix A represents a transformation of the vector x to the vector b.
openaire   +1 more source

Matrix Integral Transforms

Journal of the London Mathematical Society, 1963
openaire   +1 more source

Matrix Mining for Digital Transformation

2022
Nikolaj A. Balonin   +4 more
openaire   +1 more source

Matrix transformations between the sequence spaces and certain BK spaces

Applied Mathematics and Computation, 2004
Vladimir Rakocevic, Snezana Zivkovic
exaly  

Bäcklund transformations for a matrix second Painlevé equation

Physics Letters, Section A: General, Atomic and Solid State Physics, 2010
Andrew Pickering, P R Gordoa
exaly  

Auto-Bäcklund transformations for a matrix partial differential equation

Physics Letters, Section A: General, Atomic and Solid State Physics, 2018
Andrew Pickering, P R Gordoa
exaly  

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