Judul: Perencanaan ketersediaan pangan berkelanjutan di Kabupaten Muara Enim Provinsi Sumatera Selatan
Abstrak: Food security is a mandatory government affairs. It requires some forms of development planning in order to guarantee a sustainable food security. Food and nutrition planning as part of regional development planning is made to improve the quality of human resources and economic development, which is not solely on the planning of food commodities. One of targets to be achieved is the amount of food availability (in the form of daily energy availability of 2.200 kcal/capita) as well as the diverse on the basis of balanced nutrition that is indicated by a desirable dietary pattern or pola pangan harapan (PPH) score of 100. Muara Enim distric does not currently have a reference for the operational targets of food production to meet the ideal food consumption and land area that should be provided to ensure sustainable food supply. Therefore, the main objective of this research is to analyze the carrying capacity of the region to plan a sustainable food supply in Muara Enim regency. This was retrospective study. Research location was in Muara Enim regency in South Sumatra Province, and the study location were selected on purpose (purposive). The experiment was conducted in September through October 2010. The results showed that 1) the potentials for food production were varied and could be developed to meet the food consumption of the population, 2) some adjustments between production targets of satuan kerja perangkat daerah (SKPD) and ideal food consumption needs of the population were required, 3) agricultural land to be preserved for food is 115,043 ha (wetland 36,539 ha and 80,371 ha of dry land, with land man ratio of 1,420 m2/capita), and 4) sharpening is needed in the synchronization between planning documents and development objectives in quantitative determination.
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Judul: Analisis perencanaan penyediaan pangan berdasarkan pola pangan harapan (PPH) Kabupaten Sinjai Provinsi Sulawesi Selatan
Abstrak: Food security constitutes substance which is important and connected tightly with social security, economic stability, politic stability and nation security. The Act of the Republic of Indonesia Number 7/1996 on food stated that food is fundamental requirement in the availability of sufficient food both its in quantity and quality, including safety to the prosperity and welfare of Indonesian. As otonom's region government has authority to manage food security developments, PP No 38/2007 commanding food securitys as mandatory of goverment. This research was aimed to analyze food availability planning in Regency Sinjai, based on: 1) availability of calory (2,200 kcal) and protein (57 gram) per capita per day, and (2) consumption adequacy per capita per day of calory (2,000 kcal) and protein (52 gram), indicated by a DDP score of 100 in 2020. This research was carried out in Sinjai Regency in South Sulawesi Province in November to December 2010. The research design was retrospective utilyzing secondary data from institution related to food security. The result showed that availability of energy and protein in 2007-2008 were increased. The average of food availability was 2,923 kcal that was higher than standard (2,200 kcal/day), a slightly different picture was shown in the average availability of protein was 92.6 gram that was higher than standard (52 g/day). Meanwhile availibility of protein was dominated by plant food. On an average the availability was above the national standard (WNPG VIII, 2004). The average of calory consumption of food group in the total consumption was 2,394 kcal (slightly above of the standard), with DDP consumption in 2008 was 90.3. The basis Projection of quality food availability and food consumption in 2011 to 2020 are balance diet that is indicated by a DDP score of 100 in 2020. Land potential of Sinjai Regency for Wetlands is 13.561 ha in 2008, while wetland needs of rice production sustainability is 14.454 ha in 2020. The regulation of Sinjai regency was estabilished that agricultural farm and fishery farm for sustainability was 40,637 ha.
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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