Judul: Optimasi Pupuk Nitrogen, Fosfor, dan Kalium pada Kelapa Sawit (Elaeis guineensis Jacq.) Belum Menghasilkan Umur Dua Tahun
Abstrak: Fertilization is the one of the important factors to increase the vegetative growth of the two years old of oil palm. Fertilization can increase the availability of nutrition that needed by the plant. The one type of fertilizer that can be used as an alternative to improve soil fertility is single anorganic fertilizer. The purposes of this research were (1) to study the effect of N, P, K fertilizer on two years old plant of oil palm and (2) to determine the optimum rate of N, P, K fertilizer on two years old plant of oil palm. The researchs were conducted at IPB-Cargill Teaching Farm of Oil Palm, Jonggol, Bogor from April 2014 to March 2015. This research consisted of three experiment namely: (1) optimization of nitrogen fertilizer rate, there were five levels of N fertilizer rate: 0, 316, 632, 948, 1 264 g plant-1 year-1 (2) optimization of phosphorus fertilizer rate, there were five levels of phosphorus fertilizer rate: 0, 226, 453, 679, 905 g P2O5 plant-1 year-1, and (3) optimization of pottasium fertilizer rate, there were five levels of pottasium fertilizer rate: 0, 384, 768, 1 152, 1 536 g K2O plant-1 year-1. Each experimentations consisted of single factor using randomized block design with three replications. The result showed that nitrogen fertilizer increased quadratically plant height, frond production, stem girth, and number of stomata, but nitrogen fertilizer increased linierly leaf nutrient content. The optimum rate of nitrogen was 879 g N plant-1 year-1 for two years old of oil palm. Phosphorus fertilizer increased quadratically frond production, stem girth, leaf area of 17th frond, leaf chlorophyll, number of stomata, and phosphorus fertilizer increased linierly leaf nutrient content. The optimum rate of phosphorus was 604 g P2O5 plant-1 year-1 for two years old of oil palm. Pottasium fertilizer increased quadratically frond production, stem girth, leaf area of 17th frond, and number of stomata. The optimum rate of pottasium fertilizer was 972 g K2O plant-1 year-1 for two years old of oil palm.
Keyword: nutrition, morphology, stomata, critical nutrient level

Judul: Optimasi pemupukan nitrogen dan kalium terhadap tanaman kelapa sawit di pembibitan utama dan Tanaman Belum Menghasilkan (TBM)
Abstrak: The experiment consist of two experiment, the first experiment was optimizing of Nitrogen and Potassium fertilizer rate for oil palm seedling (Elaeis guineensis Jacq.) on main nursery; and the second experiment was optimizing of Nitrogen and Potassium fertilizers rate on immature plant of oil palm. The purpose of both experiments is to determine the optimum rate of Nitrogen and Potassium fertilizer. The experiment of optimizing Nitrogen and Potassium fertilizer rate for oil palm on main nursery aims to determine the optimum rate of nitrogen and potassium fertilizers was carried out at IPB Experimental Station (Plantation Teaching Farm), Cikabayan Dramaga, Bogor, from May to September 2012. The treatment was laid-out in a factorial randomized block design with three replications. The first factor N.i.e. 0, 25.92, 51.8, and 103.66 N plant-1 and the second was K.i.e 0, 26.99, 53.98 and 107.96 g K2O plant-1. The result of the experiment shows that Nitrogen and Potassium fertilizer increase the plant height, number of frond and stem diameter. Base on the plant height the optimum dose of Nitrogen fertilizer is 67.70 g and Potassium fertilizer is 86.68 during five months in the main nursery. The objectif of the experiment optimizing of Nitrogen and Potassium fertilizer rate for oil palm on immature was to determine the optimum rate of Nitrogen and Potassium fertilizers. Experiment was conducted at IPB Experimental Station (Plantation Teaching Farm), Singasari Jonggol, Bogor, from February to June 2013. The treatment was laid-out in a factorial randomized block design with three replications. The experiment was conducted in two trials, the first trial is made up of four Nitrogen fertilization levels N.i.e. 45, 90, 135, and 180 g N plant-1. The result shows that Nitrogen in immature increase 12.88 (cm month-1) of growth of the plant height, 3.75 (sheet month-1) of number of fronds, 3.46 (cm month-1 ) of stem girth and 3.16 (cm2 month-1 ) of leaflet area. The second is Potassium fertilization trial consist of four levels K.i.e. 30, 60, 90, dan 120 g K2O plant-1. The result shows that Potassium in immature increase 12.83 (cm month-1) of growth of the plant height, 3.61 (sheet month-1) of number of fronds, 4.03(cm month-1 ) of stem girth and 2.61 (cm2 month-1 ) of leaflet area.
Keyword: Potassium., Nitrogen, main nursery, optimizing fertilizer rate, oil palm seedling, oil palm immature plant

Judul: Invers Drazin dari Matriks Toeplitz Singular
Abstrak: Matriks Toeplitz adalah matriks yang setiap unsur pada diagonal utama bernilai sama dan setiap unsur pada subdiagonal yang bersesuaian dengan diagonal utama juga bernilai sama. Matriks singular adalah matriks yang tidak bisa ditentukan inversnya. Akan tetapi, dapat diupayakan untuk ditentukan inversnya menggunakan invers matriks yang diperumum. Invers Drazin merupakan salah satu jenis invers matriks yang diperumum. Pada karya ilmiah ini ditentukan invers Drazin dari matriks Toeplitz singular dengan menggunakan metode Leverrier Faddeev. Kemudian, ditentukan invers Drazin dari matriks Toeplitz singular yang direpresentasikan sebagai penjumlahan segitiga bawah dan segitiga atas matriks Toeplitz berdasar pada teorema Gohberg dan Semencul., Toeplitz matrix is a matrix in with element on the main diagonal has the same value and on the subdiagonal corresponding to the main diagonal also has the same value. Singular matrix is a matrix that has no inverse. However, it can be attempted to determine the inverse using a generalized inverse matrix. Inverse Drazin is a type of generalized matrix inverse. This paper discussed the inverse Drazin for a singular Toeplitz matrix using the Leverrier Faddeev method. Then, the Drazin inverse of the singular Toeplitz matrix which is represented as a sum of products of lower and upper triangular Toeplitz matrix based on Gohberg and Semencul theorem.
Keyword: inverse Drazine, singular Toeplitz matrix