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RRAM-based analog computing system rapidly solves matrix equations with high precision

Analog computers are systems that perform computations by manipulating physical quantities such as electrical current, that ...
JSTOR Daily

Oscillation of Nonlinear Systems of Matrix Differential Equations

For systems of matrix equations of the form $$U' = A(t, U, V)V,\quad V' = - B(t, U, V)$$ it is shown here that the oscillation problem can be reduced to the ...
JSTOR Daily

MATRIX STABILIZATION USING DIFFERENTIAL EQUATIONS

SIAM Journal on Numerical Analysis, Vol. 55, No. 6 (2017), pp. 3097-3119 (23 pages) We consider the problem of stabilizing a matrix by a correction of minimal norm: Given a square matrix that has some ...
Risk

Efficient solution of backward jump-diffusion partial integro-differential equations with splitting and matrix exponentials

We propose a new, unified approach to solving jump-diffusion partial integrodifferential equations (PIDEs), which often appear in mathematical finance. Our method consists of the following steps.
Nature

Random Matrix Theory and Painlevé Equations

Random matrix theory (RMT) has emerged as a powerful framework for analysing complex systems across physics, statistics and beyond, by examining the statistical properties of matrices with random ...