Judul: Penyebaran Spasial dan Potensi Pemanfaatan Aren (Arenga pinnata Merr.) di Resort Gunung Bedil Taman Nasional Gunung Halimun Salak
Abstrak: The benefit sustainability of sugar palm in Gunung Halimun Salak National Park (GHSNP) needs to be supported by sugar palm potential data. Therefore, the survey spatial distributions, habitat suitability, benefit type by society, and palm sugar regeneration level identification is needed. To reach the purposes, a measurement by using quantitative parameter such as density and frequency was done to know palm sugar regeneration, and also PCA analysis to get sugar palm habitat suitability model. This research was conducted at Gunung Bedil Resort, GHSNP. The results shows that sugar palm could be found in areas with criteria such as elevation between 500-1000 above sea level, slope 25-40%, NDVI 0-0,32, and distance from river ≤ 200 meters. The result of habitat suitability model was �� = 2,009 ∗ ������ + 2,009 ∗ ������ + 2,009 ∗ ���� + 1,010 ∗ �������� . The results of validation shows that Gunung Bedil Resort has a middle habitat suitability. Besides that, the regeneration level of sugar palm in Gunung Bedil Resort has low because it’s utilization by society is high., Pemanfaatan aren yang berkelanjutan di Taman Nasional Gunung Halimun Salak (TNGHS) perlu didukung oleh data potensi aren tersebut. Oleh karena itu perlu dilakukan identifikasi sebaran spasial, kesesuaian habitat, bentuk pemanfaatan aren oleh masyarakat, dan tingkat regenerasi aren. Untuk mencapai tujuan tersebut digunakan pengukuran dengan parameter kuantitatif seperti kerapatan dan frekuensi untuk mengetahui regenerasi aren serta analisis PCA untuk mendapatkan model kesesuaian habitat aren. Penelitian ini dilakukan di Resort Gunung Bedil TNGHS. Dari hasil analisis, aren dapat ditemukan pada daerah dengan kriteria berada pada ketinggian 500-1000 mdpl, kemiringan lereng 25-40%, pada NDVI sekitar 0 – 0,32, dan jarak dari sungai ≤ 200 m. Model kesesuaian habitat aren yang dihasilkan yaitu �� = 2,009 ∗ ������ + 2,009 ∗ ������ + 2,009 ∗ ���� + 1,010 ∗ �������� . Dari hasil validasi diketahui bahwa Resort Gunung Bedil memiliki kelas kesesuaian habitat sedang. Selain itu, tingkat regenerasi aren di kawasan Resort Gunung Bedil TNGHS tergolong rendah karena terdapat banyak gangguan pada aren. Hal ini disebabkan oleh pemanfaatan aren di Resort Gunung Bedil cukup tinggi. Pemanfaatan dilakukan dimulai dari bagian daun sampai akar aren.
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Judul: Spatial Modeling for Habitat Suitability of Aren (Arenga pinnata (Wurmb) Merr.) in Gunung Halimun Salak National Park
Abstrak: Aren (Arenga pinnata (Wurmb) Merr.) merupakan salah satu spesies tumbuhan dari famili Arecaceae yang bermanfaat dan memiliki nilai ekonomi. Salah satu lokasi sebaran alami aren adalah Taman Nasional Gunung Halimun Salak (TNGHS). Tujuan penelitian adalah menduga potensi populasi, sebaran spasial dan kesesuaian habitat aren di Taman Nasional Gunung Halimun Salak. Metode yang digunakan dalam penelitian ini adalah Focus Group Discussion (FGD), wawancara, dan observasi lapang. Analisis pemodelan spasial kesesuaian habitat aren di TNGHS dengan Principal Component Analysis (PCA) menggunakan lima variabel yaitu ketinggian, kemirinan lereng, NDVI, NDMI, dan jarak dari sungai. Kerapatan aren di kawasan TNGHS sebesar 8 individu pohon/ha. Berdasarkan sebaran spasial, aren banyak ditemukan pada area dengan kriteria ketinggian 500-830 mdpl, kemiringan lereng >40%, nilai NDVI antara 0,32 – 0,42, nilai NDMI >1, dan jarak dari sungai ≤200. Sebesar 55,63% kawasan TNGHS merupakan area dengan kesesuaian tinggi bagi habitat aren., Aren (Arenga pinnata (Wurmb) Merr.) is a species from the Arecaceae family that is useful and has economic value. One of natural distribution locations of aren is Gunung Halimun Salak National Park (GHSNP). The purpose of the research was to estimate the potency population, spatial distribution and suitability of aren habitat model in the GHSNP. The methods used in this research are Focus Group Discussion (FGD), interview, and field observations. Spatial modeling analysis for habitat suitability of aren in GHSNP with Principal Component Analysis (PCA) using five variables, namely elevation, slope, NDVI, NDMI, and distance from the river. The density of aren in the GHSNP area is 8 individual trees/ha. Based on spatial distribution, aren are mostly found in areas with criteria for an altitude of 500-830 mdpl, slope >40%, NDVI value between 0.32 – 0.42, NDMI value >1, and distance from the river ≤200 m. By 55.63% of the GHSNP area is an area with high suitability for aren habitat.
Keyword: aren, habitat suitability, potency, Principal Component Analysis

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
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