Results 191 to 200 of about 383,433 (233)

Differentiating matrix orthogonal transformations

Computational Mathematics and Mathematical Physics, 2015
The authors develop two methods for differentiation matrix orthogonal transformations. The article focuses on applications to the Riccati sensitivity equation and the first method uses the matrix square root over its inputs to find the solution to the discrete-time Riccati equation.
Kulikova, M. V., Tsyganova, Yu. V.
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

Spectral Density Matrix Transformations

Journal of the IEST, 2017
Abstract Reference criteria for a multiple degree-of-freedom (MDOF) random vibration test is generally provided in terms of an acceleration-based spectral density matrix (SDM). This SDM may be developed in terms of the auto-spectral densities (ASDs) and cross-spectral densities (CSDs) computed from the time histories acquired from an ...
openaire   +1 more source

The matrix Laguerre transform

Applied Mathematics and Computation, 1984
The Laguerre transform, introduced by \textit{J. Keilson} and \textit{W. R. Nunn} [ibid. 5, 313-359 (1979; Zbl 0449.65086)], \textit{J. Keilson}, \textit{W. R. Nunn} and the author [ibid. 8, 137-174 (1981; Zbl 0457.42011)], and further studied by the author [Development of the Laguerre transform method for numerical exploration of applied probability ...
openaire   +1 more source

Matrix Transformations

2021
Gokulananda Das, Sudarsan Nanda
openaire   +1 more source

Matrix Equations and Transformations

1986
In this chapter we consider solutions of a linear set of equations using some of the concepts discussed in Chapter 4. In addition, we introduce the concepts of a vector space, rank of a matrix, and so on. We end the chapter with a discussion of various transformations that are popular in the digital signal processing area.
John E. Hershey, R. K. Rao Yarlagadda
openaire   +1 more source

The Matrix Transform Processor

IEEE Transactions on Computers, 1976
A matrix transform processor (MTP) for an Evans and Sutherland LDS-2 graphics system has been designed and built at the University of North Carolina. The MTP performs all the important functions of a matrix multiplier, clipper, and perspective divider.
openaire   +1 more source

Matrix Transformations

2014
Józef Banaś, Mohammad Mursaleen
openaire   +2 more sources

Matrix möbius transformations

Communications in Algebra, 1981
Binyamin Schwarz, Abraham Zaks
openaire   +1 more source

The biofilm matrix: multitasking in a shared space

Nature Reviews Microbiology, 2022
Hans-Curt Flemming, Eric D Van Hullebusch, Thomas R Neu   +2 more
exaly