Judul: Shoreline Changes in the Coastal of Sungai  Limau Subdistrict, Padang Pariaman Regency, West Sumatra Province
Abstrak: Pesisir merupakan wilayah peralihan antara darat dan laut sehingga sangat potensial sebagai lokasi pembangunan. Pembangunan kawasan pesisir yang semakin pesat menyebabkan adanya perubahan tata guna lahan. Penelitian ini dilakukan untuk mendeteksi perubahan garis pantai Kecamatan Sungai Limau Kabupaten Padang Pariaman, Sumatra Barat tahun 2016-2020 menggunakan citra satelit sentinel. Laju perubahan garis pantai dihitung menggunakan metode Digital Shoreline Analysis System (DSAS). Parameter yang dibutuhkan dalam metode DSAS yaitu baseline, shoreline, dan transect. Perubahan garis pantai pada transek dihitung dengan perhitungan End Point Rate (EPR) dan Net Shorline Movement (NSM). Abrasi terjadi pada semua zona yang meliputi Desa Pilubang, Desa Kuranji Hilir, Desa Koto Tinggi dan Desa Guguak. Desa Pilubang mengalami abrasi terbesar dengan perubahan garis pantai 114,59 meter. Desa Kuranji Hilir mengalami abrasi sebesar 94,60 meter, Desa Koto Tinggi mengalami abrasi sebesar 86,93 meter dan Desa Guguak mengalmi perubahan garis pantai berupa abrasi sebesar 78,72 meter. Perubahan garis pantai yang terjadi di pesisir Pantai Sungai Limau dipengaruhi oleh arus (0,12 – 0,25 m/s), angin (5 – 2 m/s), gelombang (0,3 – 0,93 meter) dan pasang surut (-0,6 – 0,8 meter). Arus yang bergerak menyusuri pantai yang terbentuk akibat angin dan gelombang yang ada di pesisir Kecamatan Sungai Limau mengakibatkan terjadinya abrasi., The coast is a transitional area between land and sea so it is very potential as a location for construction. The rapid development of coastal areas causes changes in land use. This research was conducted to detect changes in the coastline of Sungai Limau Subdistrict, Padang Pariaman Regency, West Sumatra Province from 2016- 2020 using sentinel satellite imagery. The rate of shoreline change was calculated using the Digital Shoreline Analysis System (DSAS) method. The parameters needed in the DSAS method are baseline, shoreline, and transect. The shoreline change on the transect is calculated by the End Point Rate (EPR) and Net Shoreline Movement (NSM) formulas. Abrasion occurred in all zones which include Pilubang Village, Kuranji Hilir Village, Koto Tinggi Village, and Guguak Village. Pilubang Village experienced the biggest abrasion with a coastline change of 114.59 meters. Kuranji Hilir Village experienced an abrasion of 94.60 meters, Koto Tinggi Village experienced an abrasion of 86.93 meters and Guguak Village experienced a change in the coastline in the form of abrasion of 78.72 meters. Coastline changes that occur on the coast of Sungai Limau are influenced by currents (0.12 – 0.25 m/s), wind (5 – 2 m/s), waves (0.3 – 1.42 meters) and tides (-0.6 – 0.8 meters). Currents that move along the coast formed by wind and waves on the coast of Sungai Limau District cause abrasion.
Keyword: abrasi, akresi, citra sentinel, DSAS, garis pantai

Judul: Detection of Coastline Changes Using Landsat Imagery in the Coastal of Sumur, Pandeglang, Banten.
Abstrak: Pesisir merupakan kawasan peralihan antara darat dan laut sehingga sangat potensial sebagai lokasi pembangunan dan cenderung mendapat tekanan yang berat sehingga rawan terhadap perubahan. Penginderaan jauh efisien dan efektif dalam pemantauan perubahan garis pantai. Penelitian ini dilakukan di pesisir Sumur, Pandeglang, Banten. Metode Digital Shoreline Analysis System (DSAS) digunakan untuk menghitung statistik laju perubahan garis pantai. Program DSAS membutuhkan beberapa parameter dalam pengukuran laju perubahan garis pantai seperti baseline, shoreline yang sudah terkoreksi pasang surut, dan transek. Perubahan garis pantai dihitung pada transek dengan perhitungan Net Shoreline Movement (NSM) dan End Point Rate (EPR). Abrasi terjadi pada subzona A2, A3, B3, C3, D1, D2, dan D3.Wilayah yang mengalami akresi meliputi subzona A1, A2, A3, B1, B2, dan B3. Perubahan garis pantai berupa abrasi terbesar terjadi di sub zona D1 dengan nilai -77 m. Nilai perubahan berupa akresi terbesar terjadi pada sub zona A3 yaitu sebesar 61,11 m. Perubahan yang terjadi disebabkan adanya arus menyusur pantai yang dipengaruhi oleh angin. Perubahan garis pantai yang terjadi bersifat ringan hingga sedang., Coastal area is a transitional area between land and sea which is very potential to be developed and tends to be under heavy pressure, thus it is vulnerable to change. Remote sensing is an efficient and effective tools in monitoring shoreline changes. This research was conducted on the coast of Sumur, Pandeglang, Banten. The Digital Shoreline Analysis System (DSAS) method was used to calculate the rate of change of the time series of shoreline vector data. The DSAS program requires several parameters in measuring the rate of shoreline change in this study, such as the baseline, tide-corrected shoreline, and transects. Shoreline changes were calculated on the transect by calculating the Net Shoreline Movement (NSM) and End Point Rate (EPR). Abrasion was occurred in subzones A2, A3, B3, C3, D1, D2, and D3. Accretion was occurred in subzones A1, A2, A3, B1, B2, and B3. Larges abrasion in shoreline was occurred in sub zone D1 with a value of -77 m. The larges accretion occurred in the A3 sub zone, which was 61.11 m. The changes are caused by the current along the coast which is influenced by the wind. Changes in the coastline that occur are mild to moderate.
Keyword: Abrasi, Akresi, DSAS, Garis Pantai, Landsat

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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