Results 121 to 130 of about 2,226,866 (302)
Quarterly Journal of the Royal Meteorological Society, EarlyView.We study the impact of observation‐error correlations in data assimilation using both a simple idealised system and a more realistic configuration. A spectral analysis of data assimilation in the idealised system allows us to gain insights on the effect of observation‐error correlations, which are then validated using the realistic configuration.
Olivier Goux +4 more
wiley +1 more source
MathematicsFor solving the continuous Sylvester equation, a class of Hermitian and skew-Hermitian based multiplicative splitting iteration methods is presented. We consider two symmetric positive definite splittings for each coefficient matrix of the continuous ...
Mohammad Khorsand Zak +1 more
doaj +1 more source
A fast, preconditioned conjugate gradient Toeplitz solver [PDF]
A simple factorization is given of an arbitrary hermitian, positive definite matrix in which the factors are well-conditioned, hermitian, and positive definite.
Pan, Victor, Schrieber, Robert
core +1 more source
ASYMPTOTIC ANALYSIS OF A HERMITIAN MATRIX INTEGRAL [PDF]
International Journal of Mathematics, 1995 The asymptotic expansion of a Hermitian matrix integral known as the Penner model is rigorously calculated.
openaire +3 more sources
Machine Learning for Maximizing the Memristivity of Single and Coupled Quantum Memristors
Advanced Quantum Technologies, EarlyView.Machine learning (ML) methods are proposed to characterize the memristive properties of single and coupled quantum memristors. It is shown that maximizing the memristivity leads to large values in the degree of entanglement of two quantum memristors, unveiling the close relationship between quantum correlations and memory.
Carlos Hernani‐Morales +5 more
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, 2012 We establish necessary and sufficient conditions for the existence of and the expressions for the general real and complex Hermitian solutions to the classical system of quaternion matrix equations A1X=C1,XB1=C2, and A3XA3*=C3. Moreover, formulas of the
Shao-Wen Yu
doaj +1 more source
Hermitian Morita Theory: a Matrix Approach
Irish Mathematical Society Bulletin, 2008 This bundle contains the paper "Hermitian Morita Theory: a Matrix Approach", published in Irish Math. Soc. Bulletin 62 (2008), pp. 37-41 (reproduced with permission of the Irish Mathematical Society), and with abstract "In this note an explicit matrix description of hermitian Morita theory is presented." and a short erratum.
David W. Lewis, Thomas Unger
openaire +3 more sources
Statistical Complexity of Quantum Learning
Advanced Quantum Technologies, EarlyView.The statistical performance of quantum learning is investigated as a function of the number of training data N$N$, and of the number of copies available for each quantum state in the training and testing data sets, respectively S$S$ and V$V$. Indeed, the biggest difference in quantum learning comes from the destructive nature of quantum measurements ...
Leonardo Banchi +3 more
wiley +1 more source
Physical Review Research, 2020 We study entanglement properties of free-fermion systems without Hermiticity by use of correlation matrix and overlap matrix in the biorthogonal basis. We find at a critical point in the non-Hermitian Su-Schrieffer-Heeger (SSH) model with parity and time-
Po-Yao Chang +3 more
doaj +1 more source
Quantum‐Noise‐Driven Generative Diffusion Models
Advanced Quantum Technologies, EarlyView.Diffusion Models (DMs) are today a very popular class of generative models for Machine Learning (ML), using a noisy dynamics to learn an unknown density probability of a finite set of samples in order to generate new synthetic data. This study proposes a method to generalize them into the quantum domain by introducing and investigating what are termed ...
Marco Parigi +2 more
wiley +1 more source