长春师范大学

Intelligent optimization remains a critical challenge in modern engineering design and planning, primarily due to the multimodal, non-linear, and tightly constrained nature of real-world decision spaces. In such environments, balancing global exploration with local exploitation to avoid premature convergence is a well-known difficulty. This study proposes the Elite-Inspired Sociocultural Algorithm (EISA), an optimization approach inspired by sociocultural mechanisms in human societies. EISA integrates intra-group collaboration, inter-group cooperation, and a dual-phase inter-group competition mechanism within a hierarchical structure to maintain a dynamic search balance. The proposed method is evaluated using 23 classical test functions alongside the CEC2019, CEC2020, and CEC2022 benchmark suites. Quantitatively, EISA achieved a leading average Friedman rank (2.22) across the classical functions, demonstrating competitive accuracy and robustness compared to nine advanced algorithms. Furthermore, its practical effectiveness is verified through four real-world engineering design cases and a three-dimensional unmanned aerial vehicle (UAV) path planning problem. Under complex and constrained UAV scenarios, EISA consistently generated feasible safe paths and achieved lower comprehensive path costs (e.g., 5.28 × 103) than the evaluated comparative planners. These results indicate that EISA serves as a reliable and efficient intelligent optimization framework for tackling challenging engineering applications.

As a key spatial platform for implementing China's Northeast Revitalization Strategy, coordinated development of production-living-ecological (PLE) functions in the Changchun Metropolitan Area is crucial for high-quality regional development. This study uses 24 counties (districts) in the metropolitan area as analytical units and develops a quantitative indicator system to evaluate PLE functions. We integrate the entropy-weighted TOPSIS method, social network analysis (SNA), and geographically and temporally weighted regression (GTWR) to examine the spatiotemporal dynamics, spatial correlation networks, and driving mechanisms of the three functions from 2013 to 2023. Temporally, the production function follows a growth-decline-recovery trajectory, the living function increases overall despite fluctuations, and the ecological function strengthens continuously. Overall, the three functions increasingly exhibit coupling and synergy. Spatially, the production function concentrates in core areas and diffuses along major axes. The living function is led by the core and followed by county-level catch-up. The ecological function is higher in the east, relatively stable in the west, and connected by corridors, together forming a multi-center, axis-based synergistic pattern. In the spatial correlation networks, densities of the production and ecological networks remain largely stable, whereas the living network becomes markedly denser. The three networks display distinct topologies and continue to evolve structurally. For driving mechanisms, the GTWR model provides the best fit. Geographic proximity positively contributes to the formation of all three functional networks, while the eight explanatory factors show pronounced spatiotemporal heterogeneity. These findings provide an evidence base for optimizing functional coordination and implementing differentiated spatial governance in metropolitan areas.

The aim of the paper is to utilize the formulae for the powers of two anti-triangular block matrices to develop explicit representations for the Drazin inverse of P + Q under specific conditions. These findings are further applied to derive the expressions for the Drazin inverse of a modified matrix A-CD^dB of A, extending and unifying many existing results.

Coupled quaternion Sylvester matrix equations present considerable computational difficulties arising from their high dimensionality and the inherent noncommutativity of quaternion multiplication. To resolve this issue, a hierarchical identification principle-based quaternion gradient descent (HIP-QGD) algorithm is developed using generalized Hamilton–real (GHR) calculus. A primary advantage of HIP-QGD stems from its capability to preserve intrinsic quaternion structure and eliminate reliance on real-valued representations. Consequently,the HIP-QGD algorithm achieves greater directness and numerical efficiency compared to real-valued approaches when solving quaternion matrix equations. Convergence guarantees are established for both the standard implementation and its blockwise variant. Numerical experiments demonstrate stable convergence and accelerated rates for single and coupled quaternion Sylvester equations. In particular, the Block HIP-QGD is successfully applied to an image restoration task modeled by coupled quaternion matrix equations, achieving effective recovery of original images from degraded observations. The HIP-QGD framework therefore establishes a reliable and computationally efficient methodology for quaternion matrix computation.

This study employed a Fe3O4 and carbon black system to conduct controllable etching of diamond particles through a high-temperature carbothermal reduction reaction, investigating the influence mechanism of carbon black content on the etching effect. The experimental results indicate that during the high-temperature reaction process, a significant carbothermal reduction reaction occurs between Fe3O4 and carbon black. When the carbon black content was within an appropriate range, the reaction system exhibits a favorable synergistic etching effect, resulting in a uniform etching morphology on the diamond surface. However, with the continuous increase in carbon black content, the etching effect shows a noticeable declining trend. This study provides a promising controllable etching method for diamond surface modification.