Singular value decomposition is central to many problems in engineering and scientific fields. Several quantum algorithms have been proposed determine the singular values their associated vectors of a given matrix. Although these are promising, required subroutines resources too costly on near-term devices. In this work, we propose variational algorithm for (VQSVD). By exploiting principles Ky ...

A joint speech signal enhancement based on singular value decomposition filter after spectral subtraction (SSVD) is proposed in this paper. The residual noise after spectral subtraction, which results for audible musical noise, is reduced further by SVD filter. The matrix size in spectral domain can be reduced half, and larger step-length adopted by SVD filter in spectral domain leads to lower ...

Let A,E ∈ Cn×n be two given matrices, where rankE = r ≤ n. The matrix E is written in the form (derived from SVD) E = UV H where U, V ∈ Cn×r have rank r ≤ n. For 0 < r < n, 0 is an eigenvalue of E with algebraic (resp. geometric) multiplicity m (g = n− r ≤ m). We consider the pencil Pz(t) = (A−zI)+ tE, defined for t ∈ Ĉ = C∪{∞} which depends on the complex parameter z ∈ C. We analyze how its st...