The Moore–Penrose Inverse and Singular Value Decomposition of Split Quaternions
Sign Up to like & getrecommendations! Published in 2020 at "Advances in Applied Clifford Algebras"
DOI: 10.1007/s00006-020-01058-8
Abstract: Using the concept of a transposition anti-involution in Clifford algebra $$C \, \ell _{1,1}$$ C ℓ 1 , 1 and the isomorphisms $${\mathbb {H}}_s \cong C \, \ell _{1,1} \cong \text {Mat}(2,{\mathbb {R}}),$$ H s… read more here.
Keywords: moore penrose; split quaternions; penrose inverse; singular value ... See more keywords
Improved Gradient Neural Networks for Solving Moore–Penrose Inverse of Full-Rank Matrix
Sign Up to like & getrecommendations! Published in 2019 at "Neural Processing Letters"
DOI: 10.1007/s11063-019-09983-x
Abstract: Being with parallel-computation nature and convenience of hardware implementation, linear gradient neural networks (LGNN) are widely used to solve large-scale online matrix-involved problems. In this paper, two improved GNN (IGNN) models, which are activated by… read more here.
Keywords: moore penrose; full rank; matrix; penrose inverse ... See more keywords
Multiplicative perturbations of matrices and the generalized triple reverse order law for the Moore–Penrose inverse
Sign Up to like & getrecommendations! Published in 2017 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2017.05.026
Abstract: Abstract For a matrix A, let A † denote its Moore–Penrose inverse. A matrix M is called a multiplicative perturbation of T ∈ C m × n if M = E T F ⁎ for… read more here.
Keywords: moore penrose; generalized triple; penrose inverse; reverse order ... See more keywords
Acute perturbation bounds of weighted Moore–Penrose inverse
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Computer Mathematics"
DOI: 10.1080/00207160.2017.1294689
Abstract: It is well known that the upper bounds of the weighted Moore–Penrose inverse play a fundamental role in the perturbation analysis for the weighted linear least squares problem. In this note, we provide a sharp… read more here.
Keywords: moore penrose; acute perturbation; bounds weighted; weighted moore ... See more keywords
Beyond the Moore–Penrose Inverse: Strategies for the Estimation of Digital Predistortion Linearization Parameters
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Microwave Magazine"
DOI: 10.1109/mmm.2020.3023220
Abstract: Digital predistortion (DPD) is the linearization technique most often used to cope with the inherent tradeoff between linearity and efficiency in power amplifiers (PAs). Adaptation is needed to optimize DPD performance. This article reviews strategies… read more here.
Keywords: linearization; predistortion; moore penrose; penrose inverse ... See more keywords
Blockwise Recursive Moore–Penrose Inverse for Network Learning
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Transactions on Systems, Man, and Cybernetics: Systems"
DOI: 10.1109/tsmc.2021.3064241
Abstract: Training neural networks with the Moore–Penrose (MP) inverse has recently gained attention in view of its noniterative training nature. However, a significant drawback of learning based on the MP inverse is that the computational memory… read more here.
Keywords: moore penrose; inverse; network learning; blockwise recursive ... See more keywords
A note on the Moore-Penrose inverse of block matrices
Sign Up to like & getrecommendations! Published in 2023 at "Filomat"
DOI: 10.2298/fil2301173s
Abstract: Motivated by the representation for the Moore-Penrose inverse of the block matrix over a *-regular ring presented in [R.E. Hartwig and P. Patr?cio, When does the Moore-Penrose inverse flip? Operators and Matrices, 6(1):181-192, 2012], we… read more here.
Keywords: note moore; moore penrose; block matrices; penrose inverse ... See more keywords