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"Model loglinear adalah suatu metode statistik yang dapat digunakan dalammenganalisis tabel kontingensi. Ketika variabel pada tabel kontingensi memilikisifat keterurutan (ordinal), hubungan antar variabel dalam tabel kontingensitersebut dapat dianalisis menggunakan model loglinear ordinal. Parameter padamodel loglinear biasanya ditaksir menggunakan Maximum Likelihood Estimation(MLE). Penaksiran parameter pada model loglinear (terutama model loglinearordinal) menggunakan MLE terkadang membutuhkan iterasi. Iterasi akanmemakan waktu yang cukup lama apalagi jika variabel memiliki banyak kategori.Pada tugas akhir ini akan dibahas mengenai penaksiran model loglinear ordinaltanpa menggunakan iterasi (metode non iterative)."

"Tugas akhir ml membahas tentang uji kehomogenanmarginal dengan model log linier pada tabel kontingensi 2 dan3 dimensi yang mempunyal kategori dengan jumlah dan definisiyang sama. Untuk menguji kehomogenan marginal dengan modellog linier mi diperlukan syarat bahwa tabel kontingensitidak simetri tapi simetri semu."

"Dalam skripsi ini akan dianalisis hubungan antara beberapa karakteristik yang berhubungan dengan fertilitas ibu yaitu jumlah anak lahir hidup, umur ibu waktu disurvei, pendidikan tertinggi ibu, dan umur perkawinan pertama ibu. Untuk mendapatkan hubungan tersebut, digunakan pendekatan metode Log-linier. Dari model log-linier yang terbaik, kita dapat melihat hubungan antara pasangan variabel secara keseluruhan, maupun hubungan interaksi 3 faktor atau yang lebih tinggi. Data yang dipakai adalah data Survei Prevalensi Kontrasepsi di Indonesia tahun 1987."

"ABSTRAKJembatan gantung (suspension bridge) telah banyak digunakan di seluruh dunia sejak jembatan gantung modern pertama dibuat pada awal abad ke-19. Teknologi perencanaan jembatan gantung pun terus berkembang seiring dengan ditemukannya kelemahan-kelemahan pada struktur jembatan gantung khususnya terhadap gaya-gaya dinamis. Hal serupa diduga terjadi pada jembatan gantung “X” yang mengalami kegagalan struktur dalam proses pemeliharaan. Penggantian kabel penggantung (hanger) pada sisi-sisi jembatan menyebabkan beban tambahan yang bersifat dinamis. Beban tambahan tersebut, ditambah dengan kondisi lalu lintas yang padat selama proses penggantian, diperkirakan sebagai penyebab terjadinya kegagalan struktur jembatan. Analisa masalah dilakukan dengan memodelkan struktur jembatan gantung “X” terhadap variasi pemutusan hanger pada satu sisi dan dua sisi, termasuk didalamnya variasi beban dinamis tambahan dan beban lalu lintas dengan menggunakan analisa elastis linier riwayat waktu. Hasil dari analisa perbandingan variasi pemutusan hanger dan beban lalu – lintas diperoleh nilai gaya dalam maksimum untuk kondisi pemutusan hanger dan beban lalu – lintas satu sisi. Akan tetapi analisa ini tidak menggambarkan kondisi yang sebenarnya karena beban aksi lingkungan, degradasi material dan elemen pendukung pada hanger dan hold clamp tidak diperhitungkan.

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ABSTRACTThe suspension bridge has been used around the world since the first modern of its were made in the early 19th century . Technology planning of suspension bridge continues to grow along with the discovery of the weaknesses in the structure of the suspension bridge especially to dynamic forces . The same thing allegedly happened at suspension birdge " X " which suffered structural failure in the maintenance process . Replacement hanger on the sides of the bridge causes additional dynamic loads . The additional burden , coupled with the heavy traffic conditions during the replacement process , is suspected as the cause of the failure of the bridge structure . The analysis can be done by modeling the problem structure suspension bridge " X " to variations excision hanger on one side and two sides , including the additional dynamic load variations and traffic loads using linear elastic time history analysis . The results of the analysis obtained of the maximum internal forces for one side excision hanger condition. However, this analysis does not describe the actual conditions because of the burden of environmental action, degradation of materials and elements supporting the hanger and hold not be calculated."

"This book presents a carefully selected group of methods for unconstrained and bound constrained optimization problems and analyzes them in depth both theoretically and algorithmically. It focuses on clarity in algorithmic description and analysis rather than generality, and while it provides pointers to the literature for the most general theoretical results and robust software, the author thinks it is more important that readers have a complete understanding of special cases that convey essential ideas. A companion to Kelley book, Iterative Methods for Linear and Nonlinear Equations (SIAM, 1995), this book contains many exercises and examples and can be used as a text, a tutorial for self-study, or a reference. Iterative Methods for Optimization does more than cover traditional gradient-based optimization: it is the first book to treat sampling methods, including the Hookeeeves, implicit filtering, MDS, and Nelderead schemes in a unified way, and also the first book to make connections between sampling methods and the traditional gradient-methods. Each of the main algorithms in the text is described in pseudocode, and a collection of MATLAB codes is available. Thus, readers can experiment with the algorithms in an easy way as well as implement them in other languages."

"Toeplitz systems arise in a variety of applications in mathematics, scientific computing, and engineering, including numerical partial and ordinary differential equations, numerical solutions of convolution-type integral equations, stationary autoregressive time series in statistics, minimal realization problems in control theory, system identification problems in signal processing, and image restoration problems in image processing. This practical book introduces current developments in using iterative methods for solving Toeplitz systems based on the preconditioned conjugate gradient method. The authors focus on the important aspects of iterative Toeplitz solvers and give special attention to the construction of efficient circulant preconditioners. Applications of iterative Toeplitz solvers to practical problems are addressed, enabling readers to use the book methods and algorithms to solve their own problems."