Judul: A study of land suitability for coastal tourism in Kecamatan Teluk Sampit, Kabupaten Kotawaringin Timur, Central Kalimantan Province
Abstrak: The firsh objective of this thesis research is to use a geographical information system (GIS) to analyze land suitability for coastal tourism development. Land suitability was divided into three classes; (1) highly suitable (S1), defined as having an area of 52.23 ha; (2) narginally suitable (S3), defined as having an area of 279.79 ha; (3) not suitable (N), defined as having an area of 60,667,98 ha.
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Judul: The Use of Spatial Multi Criteria Analysis to Support Sustainable Tourism Planning (A Case Study in Coastal Area of Bantul Regency Yogyakarta).
Abstrak: Parangtritis Village is one of the smallest administrative boundary in the Bantul Regency that has coast line, in which tourism is the main economic sector after farming and agriculture. The limitations on space and the vulnerable ecosystem are the first to be considered in the development of tourism. The main problems are the conflict of land space utilization among stakeholders, government and community. Therefore Spatial Multi Criteria Analysis to support sustainable tourism planning is proposed. A GIS model has already been constructed with available data. Supporting decision-making in a spatial context is implicit in the use of GIS but the analytical capability of the GIS has to be enhanced to solve the problems, where Multi Criteria Analysis comes in to play. The objectives of this research are to access land suitability analysis purposes for tourism, paddy field, identify conflict area and to determine the best alternative land use by Multi Criteria Analysis method. Eleven land use policy alternatives were designed and evaluated to minimize conflict and to find the best alternative land use based on the production orientation and environmental conservation. The results of this research are area suitable for tourism, about 36.33% were of highly suitable (S1), 32.88% of suitable (S2), 24.77% of marginally suitable (S3) and 6.00% of not suitable (N). The area suitable for paddy field which about 33.63% of suitable (S2), 52.47% of marginally suitable (S3), and 13.89% of not suitable (N). The conflict of interest based on land suitability are between the suitable S2 paddy field and suitable S1 tourism of about 1.42%, S2 paddy field and suitable S2 tourism of about 26,58%. The conflicts based on existing land use are the development of hotel/infrastructure in the area of sand dune, the planting vegetation in sand dune to protect paddy field. Some assessment criteria (sand dune conservation, economic development and sustainable development) were defined and submitted to determine the best alternative. The alternative 4b (sustainable development emphases on sand dune conservation) has been found to be the best alternative. The second best was alternative 3C (economic development) and the third best was alternative 5C (sustainable development emphases on tourism infrastructure development).
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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