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5 results about "Krylov subspace" patented technology
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In linear algebra, the order-r Krylov subspace generated by an n-by-n matrix A and a vector b of dimension n is the linear subspace spanned by the images of b under the first r powers of A (starting from A⁰=I), that is, Kᵣ(A,b)=span {b,Ab,A²b,…,Aʳ⁻¹b}.
The application relates to the technical field of power electronics, and discloses a press-contact type IGBT device packaging structure optimization method and system. The method comprises the following steps: constructing an equivalent model of a press-contact type IGBT device; constructing a differential algebraic equation for uniformly describing the equivalent model of the press-contact type IGBT device and circuit port variables; converting the differential algebraic equation into a nonlinear algebraic equation group through time domaindiscretization, and constructing an iteration matrix with a global state vector as a derivation object according to a solving mode of the nonlinear algebraic equation group; performing low-dimensional subspace projection on the iteration matrix based on a Krylov subspace, and combining residual minimization to solve a linear subproblem of the iteration matrix, so that current uniformity characteristic results of the press-contact type IGBT device are obtained; and the packaging structure of the press-contact type IGBT device is optimized based on current density distribution reflected by the current uniformity characteristic results. The application can improve the current uniformity and operation reliability of the system.
This invention relates to a radio frequency (RF) simulation method, apparatus, computer device, storage medium, and program product. The RF simulation method includes: constructing a first Krylov subspace based on a first scanning frequency; generating a second Krylov subspace corresponding to a second scanning frequency by multiplexing vectors in the first Krylov subspace; and obtaining the circuit response when the scanning frequency is the second scanning frequency based on the second Krylov subspace. This invention can improve the calculation speed and simulation efficiency of RF simulation.