Results 41 to 50 of about 56,344 (329)
A New Real Structure-preserving Quaternion QR Algorithm
, 2017 New real structure-preserving decompositions are introduced to develop fast and robust algorithms for the (right) eigenproblem of general quaternion matrices.
Chen, Yong +3 more
core +1 more source
On Fibonacci Quaternions [PDF]
Advances in Applied Clifford Algebras, 2011 In this paper, we investigate the Fibonacci and Lucas quaternions. We give the generating functions and Binet formulas for these quaternions. Moreover, we derive some sums formulas for them.
openaire +3 more sources
Quaternion Matrix Factorization for Low-Rank Quaternion Matrix Completion
Mathematics, 2023 The main aim of this paper is to study quaternion matrix factorization for low-rank quaternion matrix completion and its applications in color image processing.
Jiang-Feng Chen +3 more
doaj +1 more source
A Unified Approach: Split Quaternions with Quaternion Coefficients and Quaternions with Dual Coefficients [PDF]
Mathematics, 2020 This paper aims to present, in a unified manner, results which are valid on both split quaternions with quaternion coefficients and quaternions with dual coefficients, simultaneously, calling the attention to the main differences between these two quaternions. Taking into account some results obtained by Karaca, E.
Emel Karaca +2 more
openaire +4 more sources
Infection Models for Pine Wilt Disease on the Basis of Vector Behaviors
Population Ecology, EarlyView.Infection models for pine wilt disease without vector density were built to estimate the transmission coefficient of the pathogenic nematode. The models successfully simulated the annual change in the density of infected trees for four pine stands. ABSTRACT Pine wilt disease is caused by the pinewood nematode (Bursaphelenchus xylophilus Steiner et ...
Katsumi Togashi
wiley +1 more source
On Pfaffian random point fields
, 2013 We study Pfaffian random point fields by using the Moore-Dyson quaternion determinants. First, we give sufficient conditions that ensure that a self-dual quaternion kernel defines a valid random point field, and then we prove a CLT for Pfaffian point ...
Kargin, Vladislav
core +1 more source
Quaternions: A Mathematica Package for Quaternionic Analysis [PDF]
, 2011 This paper describes new issues of theMathematica standard package Quaternions for implementing Hamilton's Quaternion Algebra. This work attempts to endow the original package with the ability to perform operations on symbolic expressions involving quaternion-valued functions.
Falcão, M. I., Miranda, Fernando
openaire +3 more sources
Population Ecology, EarlyView.Bear management changes management actions according to the horizontal axis of the population size and the vertical axis of the number of nuisance bears. Aiming for the target population size of Ntar, Actions I and II protect the bears, and Action IV reduces the population.
Hiroyuki Matsuda +5 more
wiley +1 more source