This paper proposes a novel 4×4-device-Matrixbased Cost-optimized Triple-node-upset (TNU)-recovery Highimpedance-state (HIS)-insensitive and Single-event-transient (SET)-filterable Latch, namely MCTHSL, designed for aerospace applications. The MCTHSL latch comprises a 4×4-device matrix to completely provide TNU recovery and thus it is HIS-insensitive. The input of a Schmitt Trigger (ST) is split to create an input-split ST, namely ISST, to simultaneously provide the functions of a Celement (CE), a SET-filtering device and a delay element. The matrix comprises 15 mutually interlocking 2-input CEs as well as an ISST to store values, recover from TNUs and filter SETs with HISinsensitivity and cost-optimization. Simulation results demonstrate the above-mentioned features as well as cost reduction (in comparison with state-of-the-art TNU-recovery latches) of the proposed MCTHSL latch.