[HTML][HTML] A new design formula exploited for accelerating Zhang neural network and its application to time-varying matrix inversion

L Xiao - Theoretical Computer Science, 2016 - Elsevier
Online solution to time-varying matrix inverse is further investigated by proposing a new
design formula, which can accelerate Zhang neural network (ZNN) to finite-time …

On -Equivalence and Strong -Equivalence for Parikh Matrices

G Poovanandran, WC Teh - International Journal of Foundations of …, 2018 - World Scientific
The notion of strong M-equivalence was introduced as an order-independent alternative to
M-equivalence for Parikh matrices. This paper further studies the notions of M-equivalence …

[HTML][HTML] On strongly M-unambiguous prints and Şerbǎnuţǎ's conjecture for Parikh matrices

WC Teh, A Atanasiu, G Poovanandran - Theoretical Computer Science, 2018 - Elsevier
In the combinatorial study of words, the Parikh matrix mapping was introduced by Mateescu
et al. in 2001 as a natural expansion of the classical Parikh mapping. Solving the general …

Parikh matrices and Parikh rewriting systems

WC Teh - Fundamenta Informaticae, 2016 - content.iospress.com
Since the introduction of the Parikh matrix mapping, its injectivity problem is on top of the list
of open problems in this topic. In 2010 Salomaa provided a solution for the ternary alphabet …

Parikh matrices: subword indicators and degrees of ambiguity

A Salomaa - Adventures Between Lower Bounds and Higher …, 2018 - Springer
Abstract The quantity| w| _ u| w| u, the number of occurrences of a word u as a (scattered)
subword of a word w gives important numerical information about the word w. Properly …

[HTML][HTML] Elementary matrix equivalence and core transformation graphs for Parikh matrices

G Poovanandran, WC Teh - Discrete Applied Mathematics, 2018 - Elsevier
The introduction of the Parikh matrix mapping by Mateescu et al. in 2001 gave rise to the
injectivity problem, that is, the characterization of words having the same Parikh matrix …

Strong and Strong Transformations for Strong -Equivalence

G Poovanandran, WC Teh - International Journal of Foundations of …, 2019 - World Scientific
Parikh matrices have been extensively investigated due to their usefulness in studying
subword occurrences in words. Due to the dependency of Parikh matrices on the ordering of …

Parikh matrices for powers of words

A Atanasiu, G Poovanandran, WC Teh - Acta Informatica, 2019 - Springer
Certain upper triangular matrices, termed as Parikh matrices, are often used in the
combinatorial study of words. Given a word, the Parikh matrix of that word elegantly …

A novel-restraint and predefined-time znn model for time-dependent matrix inversion

P Liu, L Xiao, L Jia, Y He - 2021 11th International Conference …, 2021 - ieeexplore.ieee.org
The problem of solving complex-valued time-dependent matrix inversion (CVTD-MI) has
significant implications for statistics and control theory, and thus it is worthy to be …

[HTML][HTML] Order of weak M-relation and Parikh matrices

WC Teh, KG Subramanian, S Bera - Theoretical Computer Science, 2018 - Elsevier
The classical inference problem on words studies whether a word can be uniquely inferred
from some given binomial coefficients. The entries of the Parikh matrix are certain canonical …