Abstract
References
- Aubry A., De Maio A., Carotenuto V., July 2013. Optimality Claims for the FML Covariance Estimator with respect to Two Matrix Norms. IEEE Transactions on Aerospace and Electronic Systems, 49, Issue: 3, 2055-2057.
- Duran A., İzgi B., 2014. Solution Behavior of Heston Model Using Impression Matrix Norm, Advances in Applied Mathematics Springer, Cham. 215-221.
- Duran A., İzgi B., 2015. Application of the Heston stoctastic volatility model for Borsa Istanbul using impression matrix norm, Journal of Comput. and Appl. Math., 281, 126-134.
- Golub G.H., Val Loan C. F., 1996, Matrix Computations, The Johns Hopkins University Press, 56-57.
- İzgi B., 2015. Behavioral Classification of Stochastic Differential Equations in Mathematical Finance, PhD Thesis, Istanbul Technical University. Kloeden P.E., Platen E., Schurz H.,2003.
- Numerical Solution of SDE through Computer Experiments, Springer, Berlin. Li R.,1998. Relative Perturbation Theory, SIAM. J. Matrix Anal. & Appl., 19(4), 956–982, 27.
- Whitaker B. M., Anderson D. V., August 2015 Learning anomalous features via sparse coding using matrix norms. Signal Processing and Signal Processing Education Workshop (SP/SPE), IEEE.
- Wilkinson D.M.,2005. Moment Instabilities in Multidimesional Systems with Noise, The European Physical Journal B-Condensed Matter and Complex Systems, 43, Issue 2, 221-242.
- Zielke G, November 1988. Linear Algebra and its Applications, 110, Elsevier Inc. 29-41.
Abstract
Bu çalışmada ilk olarak 3-boyutlu matrislerde çarpma işlemi, 2-boyutlu matrislerdeki çarpma işlemine benzer şekilde tanımlanmıştır. Daha sonra, 3-boyutlu matrislerdeki norm eşitsizlikleri elde edilmiş ve bu eşitsizlikler ispatlanmıştır. Ayrıca tanımlanan eşitsizliklerin kullanışlılığı simülasyonlar yardımıyla elde edilmiş veriler ve gerçek veriler kullanılarak oluşturulmuş 3-boyutlu matrisler için ayrı ayrı hesaplanan norm değerleri yardımıyla gösterilmiştir.
Keywords
3-Boyutlu Matrisler 3-Boyutlu Matrislerde Çarpma İşlemi 3-Boyutlu Matris Norm Eşitsizlikleri
References
- Aubry A., De Maio A., Carotenuto V., July 2013. Optimality Claims for the FML Covariance Estimator with respect to Two Matrix Norms. IEEE Transactions on Aerospace and Electronic Systems, 49, Issue: 3, 2055-2057.
- Duran A., İzgi B., 2014. Solution Behavior of Heston Model Using Impression Matrix Norm, Advances in Applied Mathematics Springer, Cham. 215-221.
- Duran A., İzgi B., 2015. Application of the Heston stoctastic volatility model for Borsa Istanbul using impression matrix norm, Journal of Comput. and Appl. Math., 281, 126-134.
- Golub G.H., Val Loan C. F., 1996, Matrix Computations, The Johns Hopkins University Press, 56-57.
- İzgi B., 2015. Behavioral Classification of Stochastic Differential Equations in Mathematical Finance, PhD Thesis, Istanbul Technical University. Kloeden P.E., Platen E., Schurz H.,2003.
- Numerical Solution of SDE through Computer Experiments, Springer, Berlin. Li R.,1998. Relative Perturbation Theory, SIAM. J. Matrix Anal. & Appl., 19(4), 956–982, 27.
- Whitaker B. M., Anderson D. V., August 2015 Learning anomalous features via sparse coding using matrix norms. Signal Processing and Signal Processing Education Workshop (SP/SPE), IEEE.
- Wilkinson D.M.,2005. Moment Instabilities in Multidimesional Systems with Noise, The European Physical Journal B-Condensed Matter and Complex Systems, 43, Issue 2, 221-242.
- Zielke G, November 1988. Linear Algebra and its Applications, 110, Elsevier Inc. 29-41.
Details
| Primary Language | Turkish |
|---|---|
| Journal Section | Articles |
| Authors | |
| Publication Date | December 29, 2017 |
| Submission Date | May 16, 2017 |
| Published in Issue | Year 2017 Volume: 17 Issue: 3 |