We propose an algorithm for computing the projection of a symmetric second-order tensor onto the cone of negative semidefinite symmetric tensors with respect to the inner product defined by an assigned positive definite symmetric fourth-order tensor C. The projection problem is written as a semidefinite programming problem and an algorithm based on a primal-dual path-following interior point method coupled with a Mehrotra's predictor-corrector approach is proposed. Implementations based on direct methods are theoretically and numerically investigated taking into account tensors C arising in the modelling of masonry-like materials.

翻译：我们提出一种算法,用以计算对准二阶向负半确定性对称性四阶高C所定义的内产物的负半确定性对称性对称性四阶高压锥体内锥体的对称二阶拉。 预测问题被写成半确定性对称性四阶高C编程问题和基于原始双向路径内点法的算法以及Mehrotra预测性对称法的方法。 提议对基于直接方法的实施进行理论和数字调查,其中考虑到在模拟类似泥瓦材料中产生的对称C。