We propose algorithms for the solution of high-dimensional symmetrical positive definite (SPD)
linear systems with the matrix and the right-hand side given and the solution sought in a …

Tensors arise naturally in high-dimensional problems in chemistry, financial mathematics, and
many other areas. The numerical treatment of such problems is difficult due to the curse of …

Bioluminescence is found across the entire tree of life, conferring a spectacular set of visually
oriented functions from attracting mates to scaring off predators. Half a dozen different …

We consider approximate computation of several minimal eigenpairs of large Hermitian
matrices which come from high-dimensional problems. We use the tensor train (TT) format for …

Autoluminescent plants engineered to express a bacterial bioluminescence gene cluster in
plastids have not been widely adopted because of low light output. We engineered tobacco …

In this paper we propose two schemes of using the so-called quantized tensor train (QTT)-approximation
for the solution of multidimensional parabolic problems. First, we present a …

An adapted tensor-structured GMRES method for the TT format is proposed and investigated.
The Tensor Train (TT) approximation is a robust approach to highdimensional problems. …

Quantum state preparation is a vital routine in many quantum algorithms, including solution
of linear systems of equations, Monte Carlo simulations, quantum sampling, and machine …

Jasmonates are plant hormones that are involved in the regulation of different aspects of
plant life, wherein their functions and molecular mechanisms of action in wheat are still poorly …

Chrysanthemum is one of the most important commercial cut flowers in the world. Early-flowering
cultivars are required to produce quality chrysanthemum flowers with a lower cost of …