Judul: Feasibility Study of S3FMU based Agrosilvopastoral on Critical Land in BKPH Parung Panjang KPH Bogor
Abstrak: Lahan kritis merupakan wilayah yang mengalami penurunan atau kehilangan fungsi ekologisnya akibat dari kerusakan secara fisik, kimia, dan biologi. Terdapat lahan kritis di Bagian Kesatuan Pemangkuan Hutan (BKPH) Parung Panjang yang memiliki potensi untuk dikembangkan menjadi sebuah usaha agrosilvopastural dengan menerapkan konsep Smart Small Scale Forest Management Unit (S3FMU) pada pengelolaannya. Penelitian ini bertujuan untuk mengidentifikasi potensi pengembangan usaha agrosilvopastural dengan menerapkan konsep S3FMU pada pengelolaannya, serta menganalisis kelayakan finansial, sosial, dan ekologi usaha agrosilvopastural di BKPH Parung Panjang. Metode pada penelitian ini adalah Analytical Hierarchy Process (AHP) untuk menentukan komoditas jenis sapi perah dan jenis Multy Purpose Tree Species (MPTS) pada usaha agrosilvopastural. Usaha agrosilvopastural ini mencakup agroforestri buah naga dengan MPTS rambutan, peternakan sapi perah dengan jenis sapi holstein friesian, dan wisata petik buah naga dan sapi perah. Usaha agrosilvopastural ini memiliki NPV mencapai Rp63.627.320.477,13 nilai BCR 1,97 dan IRR mencapai 26,45% serta payback period 5,2 tahun., Critical land is an area that has experienced a decline or loss of its ecological function due to physical, chemical, and biological damage. There is critical land in the Parung Panjang Forest Management Unit (BKPH) that has the potential to be developed into an agrosilvopastoral business by applying the Smart Small Scale Forest Management Unit (S3FMU) concept to its management. This study aims to identify the potential for developing an agrosilvopastoral business by applying the S3FMU concept to its management, as well as to analyze the financial, social, and ecological feasibility of an agrosilvopastoral business in BKPH Parung Panjang. The method in this study is Analytical Hierarchy Process (AHP) to determine the type of dairy cow and type of Multy Purpose Tree Species (MPTS) in the agrosilvopastoral business. This agrosilvopastoral business includes dragon fruit agroforestry with rambutan MPTS, dairy farming with Holstein Friesian cows, and dragon fruit and dairy cow picking tourism. This agrosilvopastoral business has an NPV of Rp63,627,320,477.13, a BCR value of 1.97, an IRR of 26.45%, and a payback period of 5.2 years.
Keyword: Analytical Hierarchy Process (AHP), lahan kritis, S3FMU, Agrosilvopastural, Kelayakan Usaha

Judul: Simulation Model of Multi Forestry Business Based on Smart Small Scale Forest Management Unit in BKPH Parung Panjang
Abstrak: Perluasan wilayah lahan kritis dapat menimbulkan berbagai permasalahan karena kerusakan yang terjadi pada sumber daya hutan. Upaya pengembangan multiusaha kehutanan berbasis Smart Small Scale Forest Management Unit (S3FMU) dapat menjadi salah satu usaha yang dapat dilakukan, karena berpotensi memberikan keuntungan secara ekonomi, ekologi, dan sosial. Analisis penerapan S3FMU dilakukan dengan membuat model simulasi terkait model usaha yang akan diterapkan pada lahan kritis di Bagian Kesatuan Pemangkuan Hutan (BKPH) Parung Panjang dan menganalisis kelayakan usaha serta potensi keuntungan yang dihasilkan. Skenario model usaha berbasis S3FMU yang layak dikembangkan berdasarkan analisis kelayakan usaha yaitu agrosilvopastura. Usaha agrosilvopastura berbasis S3FMU dibagi menjadi lima kavling pengelolaan, yaitu kavling Durian, Alpukat, Manggis, dan Pala dengan pola pengelolaan agrisilvikultur bersama dengan Lengkuas, Jagung, dan Singkong, serta kavling peternakan Sapi Brahman. Potensi keuntungan yang didapat dari penerapan agrosilvopastura berbasis S3FMU yaitu sebesar Rp 158.755.632,98 per hektar per tahun, The expansion of critical land areas can cause various problems due to the damage to forest resources. The development of multi-business forestry based on the Smart Small Scale Forest Management Unit (S3FMU) can be one of the efforts undertaken, as it has the potential to provide economic, ecological, and social benefits. The analysis of S3FMU implementation is carried out by creating a simulation model related to the business model to be applied to critical land in the Parung Panjang Forest Management Unit (BKPH) and analyzing the business feasibility and potential profits. The feasible S3FMU-based business model scenario for development, based on business feasibility analysis, is agrosilvopasture. The S3FMU-based agrosilvopasture business is divided into five management plots: Durian, Avocado, Mangosteen, and Nutmeg, with an agrisilviculture management pattern along with Galangal, Corn, and Cassava, as well as a Brahman Cattle livestock plot. The potential profit from implementing S3FMU-based agrosilvopasture is Rp 158,755,632.98 per hectare per year
Keyword: model simulasi, S3FMU, lahan kritis, multiusaha kehutanan

Judul: Penentuan Nilai Eigen dan Vektor Eigen dari Matriks Tridiagonal 2-Toeplitz dengan Pendekatan Polinomial Chebyshev
Abstrak: The eigenvalues and eigenvectors of a matrix can be determined by finding its characteristic polynomials. The characteristic polynomials of a tridiagonal 2-Toeplitz matrix is shown to be closely connected to polynomials which satisfy the Chebyshev recurrence relationship. If the order of the matrix is odd, then the eigenvalues are found explicitly in terms of the Chebyshev zeros and the eigenvectors are found in terms of the polynomials satisfying the recurrence relationship. For even ordered matrices, the situation is more complicated. The problem in these cases is that although the Chebyshev recurrence formula is still applied, its initial values are not generating Chebyshev polynomials
Keyword: