NUMERICAL METHODS II
Roots and Equation Systems
Including SEM and ISS algorithms
Textbook at several universities
International edition in English
Numerical Methods II – Roots and Equation Systems
1. Root-Finding Methods
2. Linear Equation Systems
3. Sequential Elimination Method (SEM)
4. Improved Sequential Substitution
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An excellent textbook established at several universities. Primarily written for students at technical universities, it is also a very useful handbook for engineers, PhD students and scientists. Available in several forms at all continents
Approved by the University of Rijeka, Croatia, 2011-10-10.
Approved and recommended by the Moscow State Industrial University, Russia, 2013-10-11.
Approved for the study programs on the international basis by the Faculty of Logistic in Celje, Slovenia, 2013-10-11.
These methods are important because there are many problems in engineering practice and science that cannot be solved without them. Some root finding methods and methods for solving linear equation systems are already implemented in calculators and standard program libraries, providing their instant use. However, the use of the described methods gives an opportunity to the reader to take full control over computation, and apply the method which is most suitable for solving his problem. This approach can make numerical algorithms more powerful and faster than they used to be.
In the second chapter, various standard methods for solving linear equation systems, inversion of matrices and calculation of determinants are described. There is also the memory sparing sequential substitution method (SS), which is the background for the sequential elimination method (SEM) (described in the third chapter) and the improved sequential substitution method (ISS) (described in the fourth chapter). These memory sparing methods are original direct methods for solving linear equation systems that use much less memory than the standard methods, and sometimes even less memory than iterative methods. [ Lecture.ppsx ]
Practical application of the described methods is supported by 37 examples, 23 flowcharts, 51 algorithms and several computer programs written in Fortran and C that can be immediately implemented for any application. In addition to its practical usage, the given text with 46 figures and 20 tables, partially in colour, represents a valuable background for understanding, using, developing and applying various numerical methods.
This textbook is written in English
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Prof. Maja Fosner, D.Sc.
University of Maribor, Slovenia
Prof. Damir Jelaska, D.Sc.
University of Split, Croatia
Prof. Valery Lysenko, D.Sc.
Academic of the Russian Metrological Academy
Russian Research Institute for Metrological Service, Russia
Prof. Iztok Potrc, D.Sc.
University of Maribor. Slovenia
Prof. Evgeny Pushkar, D.Sc.
Member correspondent of the Russian Academy of Natural Sciences
Moscow State Industrial University, Russia
Senior Lecturer, Katica Jurasić,
University of Rijeka, Croatia
Senior Lecturer, Ksenija Mance, prof.
University of Rijeka, Croatia
Boris Obsieger, D.Sc., professor at the University of Rijeka, Croatia. Head of Section for Machine Elements at the Faculty of Engineering in Rijeka. Holds lectures on Machine Elements Design, Robot Elements Design, Numerical Methods in Design and Boundary Element Method. Several invited lectures. President of CADAM Conferences. Main editor of international journal Advanced Engineering. Author of several books and a lot of scientific papers.