Iterative decreasing dimension algorithm

Keskin, Tuba; Aydın, Kemal

doi:10.1016/j.camwa.2006.06.010

Cited by 3 publications

(3 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Iterative decreasing dimension method(IDDM) is one of them which is decreases by one dimension at every step for get to the solution without any pre-processing. This method and the algorithm that processes this method is given in detail in [5,6]. As synopsis, framework computation of this method has given with equation (3.1) by [5,6].…”

Section: Solving the Gh = Z Linear Algebraic Equationmentioning

confidence: 99%

See 1 more Smart Citation

Computation of the Solutions of Lyapunov Matrix Equations with Iterative Decreasing Dimension Method

SİNAN

BAYDAK²,

Duman

et al. 2022

Fundamental Journal of Mathematics and Applications

View full text Add to dashboard Cite

The existence of a solution of continuous and discrete-time Lyapunov matrix equations was studied. Both Lyapunov matrix equations are transformed into a matrix-vector equation and the solution of the obtained new system was examined. The iterative decreasing dimension method (IDDM) was implemented for solving the generated matrix-vector equation. Computations have been done with Maple procedures that run the constituted algorithms.

show abstract

Section: Solving the Gh = Z Linear Algebraic Equationmentioning

confidence: 99%

“…This method and the algorithm that processes this method is given in detail in [5,6]. As synopsis, framework computation of this method has given with equation (3.1) by [5,6].…”

Section: Solving the Gh = Z Linear Algebraic Equationmentioning

confidence: 99%

Computation of the Solutions of Lyapunov Matrix Equations with Iterative Decreasing Dimension Method

SİNAN

BAYDAK²,

Duman

et al. 2022

Fundamental Journal of Mathematics and Applications

View full text Add to dashboard Cite

show abstract

“…So in (Keskin and Aydın, 2007), the authors improved DDM and gave iterative decreasing dimension method (IDDM) which decreases the dimension of the linear systems, one order in every step without any pre-process.…”

Section: Introductionmentioning

confidence: 99%

Investigation of Studies on Case Study Method in Education

Cantimer¹,

Şengül²

2022

PEARSON

View full text Add to dashboard Cite

In this study, it is aimed to examine the researches on the case study method in education through systematic review. Thus, a general framework from the descriptive features of the relevant researches from their aims to their results, was drawn and their tendencies were evaluated. In this study, a total of 48 documents which consisted of 24 articles, 17 master’s thesis and 7 doctoral dissertations published between 2010-2020 were analyzed. The researches were analyzed by content analysis and examined within the scope of the education area, purpose, method, sample, data collection tools and results in which the case study method was used. The obtained data is presented by giving the frequencies on the tables. As a result of the study; as the education area where the case study method is used, the most researches are made in the fields of teacher education, chemistry education and Turkish education; quantitative research methods are mostly preferred; working with students and teacher candidates; it was determined that scale and achievement tests were used. When the analyzed studies are evaluated within the scope of their aims, the effects of the use of the case study method on academic achievement are related to critical thinking, creative thinking, social problem solving, decision making, etc. in the field of education. It was observed that the effect on gaining skills was tried to be determined. Within the scope of the results obtained, the findings regarding the effects of the use of the case study method on knowledge, skills and affective areas were determined. In this direction, interdisciplinary studies on the use of the case study method in the field of education and different studies can be designed with student groups at all levels, starting from younger age groups, instructors who are the practitioners of the method, teachers and teacher candidates. The effect size of the method can be increased with the participation of parents by moving the application process to the home environment.

show abstract

Interval Iterative Decreasing Dimension Method for Interval Linear Systems and Its Implementation to Analog Circuits

Çelik Kızılkan,

Yağlıpınar

2024

Mathematics

View full text Add to dashboard Cite

The iterative decreasing dimension method (IDDM) is an iterative method used to solve the linear algebraic system Ax=f. Such systems are important in modeling many problems in applied sciences. For a number of reasons, such as estimated measurements made for modeling, errors arising from floating point calculations, and approximation methods used for solutions, it becomes necessary to study intervals in the solutions of systems of linear equations. The objective of this paper is to utilize IDDM to achieve resolution in the interval linear system (ILS). During the calculations, the Kaucher space is considered an extended classical interval space. The solutions of Barth-Nuding and Hansen interval linear systems, which are commonly used in the literature to test the solutions of ILSs, are obtained with the interval iterative decreasing dimension method for interval linear systems (I-IDDM). Since IDDM is a variation method of Gaussian elimination, a comparative analysis of the results with the interval Gaussian elimination method (I-GEM) is performed. It has been demonstrated that our approach, I-IDDM, produces better outcomes than I-GEM. I-IDDM is also used to investigate the analog circuit problem, where interval analysis is crucial.

show abstract

Iterative decreasing dimension algorithm

Cited by 3 publications

References 3 publications

Computation of the Solutions of Lyapunov Matrix Equations with Iterative Decreasing Dimension Method

Computation of the Solutions of Lyapunov Matrix Equations with Iterative Decreasing Dimension Method

Investigation of Studies on Case Study Method in Education

Interval Iterative Decreasing Dimension Method for Interval Linear Systems and Its Implementation to Analog Circuits

Contact Info

Product

Resources

About