  Utilizing singular value decomposition, our investigation focuses on the
spectrum of the singular values within a sparse non-Hermitian Sachdev-Ye-Kitaev
(SYK) model. Unlike the complex eigenvalues typical of non-Hermitian systems,
singular values are inherently real and positive. Our findings reveal a
congruence between the statistics of singular values and those of the analogous
Hermitian Gaussian ensembles. An increase in sparsity results in the
non-Hermitian SYK model deviating from its chaotic behavior, a phenomenon
precisely captured by the singular value ratios. Our analysis of the singular
form factor ({\upsigma}FF), analogous to the spectral form factor (SFF)
indicates the disappearance of the linear ramp with increased sparsity.
Additionally, we define singular complexity, inspired by the spectral
complexity in Hermitian systems, whose saturation provides a critical threshold
of sparseness. Such disintegration is likely associated with the breakdown of
the existing holographic dual for non-Hermitian systems.
