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"This book is a guide to understanding and using the software package ARPACK to solve large algebraic eigenvalue problems. The software described is based on the implicitly restarted Arnoldi method, which has been heralded as one of the three most important advances in large scale eigenanalysis in the past ten years. The book explains the acquisition, installation, capabilities, and detailed use of the software for computing a desired subset of the eigenvalues and eigenvectors of large (sparse) standard or generalized eigenproblems. It also discusses the underlying theory and algorithmic background at a level that is accessible to the general practitioner."

"Provides a common setting for various methods of bounding the eigenvalues of a self-adjoint linear operator and emphasizes their relationships. A mapping principle is presented to connect many of the methods. The eigenvalue problems studied are linear, and linearization is shown to give important information about nonlinear problems. Linear vector spaces and their properties are used to uniformly describe the eigenvalue problems presented that involve matrices, ordinary or partial differential operators, and integro-differential operators."

"This book presents, in a uniform way, several problems in applied mechanics, which are analysed using the matrix theory and the properties of eigenvalues and eigenvectors. It reveals that various problems and studies in mechanical engineering produce certain patterns that can be treated in a similar way. Accordingly, the same mathematical apparatus allows us to study not only mathematical structures such as quadratic forms, but also mechanics problems such as multibody rigid mechanics, continuum mechanics, vibrations, elastic and dynamic stability, and dynamic systems. In addition, the book explores a wealth of engineering applications. "

"Aktivitas transportasi merupakan salah satu penyumbang biaya terbesar terhadap biaya logistik, terutama di wilayah perkotaan. Sedangkan, permasalahan transportasi barang di wilayah perkotaan terus bertambah kompleks, seiring dengan bertumbuhnya jumlah pelanggan yang didukung oleh pertumbuhan transaksi e-commerce dan pertumbuhan jumlah warung atau yang lebih dikenal dengan nama nanostores. Salah satu permasalahan yang disebabkan oleh meningkatnya jumlah pelanggan ini adalah masalah penentuan rute distribusi. Dengan meningkatnya jumlah titik pengiriman, kombinasi rute yang mungkin dihasilkan juga meningkat dengan eksponensial yang secara langsung berpengaruh terhadap kompleksitas perhitungan dalam mendapatkan rute yang optimal. Permasalahan pemilihan rute ini sendiri dikenal dengan nama Vehicle Routing Problem (VRP). Pada penelitian ini, peneliti akan berfokus pada penyelesaian varian paling dasar dari VRP, yaitu Capacitated Vehicle Routing Problem (CVRP) dengan jumlah pelanggan di atas 1.000 titik pengiriman (berskala sangat besar). Output utama dari penelitian ini adalah model optimasi CVRP berskala sangat besar dan output tambahan berupa rancangan rute yang dapat meminimalkan biaya pengiriman pada permasalahan perancangan rute distribusi di Indonesia dengan jumlah pelanggan mencapai 32.223 pelanggan.

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Transportation activity is one of the main cost-driver of overall logistics cost, especially in urban area. Whereas, the transportation problem in urban area is becoming more complex in response to the growth of customers number that fueled by the rapid growth of e-commerce and number of nanostores. One of the main problem that emerged from the growth of customers number is finding the optimal route for distribution. The possible routes combination is growing exponentially in respect to the increase of destination number, rising the complexity to obtain the optimal solution. This problem of finding the optimal routes combination is known in combinatorial optimization as Vehicle Routing Problem (VRP). In this paper, we will focus on the most basic variant of VRP called Capacitated Vehicle Routing Problem (CVRP) with the number of customers more than 1.000 (very large scale). The main output of this research is the optimization model for very large scale CVRP and the additional output is the optimal distribution route for a problem with 32.223 customers in Indonesia."

"This book presents a language integrated query framework for big data. The continuous, rapid growth of data information to volumes of up to terabytes (1,024 gigabytes) or petabytes (1,048,576 gigabytes) means that the need for a system to manage and query information from large scale data sources is becoming more urgent. Currently available frameworks and methodologies are limited in terms of efficiency and querying compatibility between data sources due to the differences in information storage structures. For this research, the authors designed and programmed a framework based on the fundamentals of language integrated query to query existing data sources without the process of data restructuring. A web portal for the framework was also built to enable users to query protein data from the Protein Data Bank (PDB) and implement it on Microsoft Azure, a cloud computing environment known for its reliability, vast computing resources and cost-effectiveness."

"Large-scale problems of engineering and scientific computing often require solutions of eigenvalue and related problems. This book gives a unified overview of theory, algorithms, and practical software for eigenvalue problems. It organizes this large body of material to make it accessible for the first time to the many nonexpert users who need to choose the best state-of-the-art algorithms and software for their problems. Using an informal decision tree, just enough theory is introduced to identify the relevant mathematical structure that determines the best algorithm for each problem.The algorithms and software at the "leaves" of the decision tree range from the classical QR algorithm, which is most suitable for small dense matrices, to iterative algorithms for very large generalized eigenvalue problems. Algorithms are presented in a unified style as templates, with different levels of detail suitable for readers ranging from beginning students to experts. The authors' comprehensive treatment includes a treasure of further bibliographic information."