The Theory of Matrices. By F R. Gantmacher. Two volumes, pp. 374 and 276. 1959. (Translated from the Russian by K. A. Hirsch; Chelsea Publishing Company, New York)

This chapter relates the notions of mutations with the concept of graphical derivatives of set-valued maps and more generally links the above results of morphological analysis with some basic facts of set-valued analysis that we shall recall.

Set-valued analysis

One of the novelty of this paper is the study of a general class of impulsive differential equations, which is more reasonable to show dynamics of evolution processes in Pharmacotherapy. This fact reduces many difficulties in applying analysis methods and techniques in Bielecki's normed Banach spaces and thus makes the study of existence and uniqueness theorems interesting. The other novelties of this paper are new concepts of Ulam's type stability and Ulam-Hyers-Rassias stability results on compact and unbounded intervals.

/pdf/a-general-class-of-impulsive-evolution-equations-49oaf2gy9v.pdf

A General Class of Impulsive Evolution Equations

In this paper we study the approximation power, the existence of a normalized B-basis and the structure of a degree-raising process for spaces of the form**requiring suitable assumptions on the functions u and v. The results about degree raising are detailed for special spaces of this form which have been recently introduced in the area of CAGD.

On a class of weak Tchebycheff systems

Generalized B-splines as a tool in Isogeometric Analysis

http://sutir.sut.ac.th:8080/sutir/bitstream/123456789/589/1/sdarticle_sattayatham6.pdf

GB-splines of arbitrary order

Clustering is a task of grouping data based on similarity. A popular k-means algorithm groups data by firstly assigning all data points to the closest clusters, then determining the cluster means. The algorithm repeats these two steps until it has converged. We propose a variation called weighted k-means to improve the clustering scalability. To speed up the clustering process, we develop the reservoir-biased sampling as an efficient data reduction technique since it performs a single scan over a data set. Our algorithm has been designed to group data of mixture models. We present an experimental evaluation of the proposed method.

/pdf/weighted-k-means-for-density-biased-clustering-29y5l40bji.pdf

Weighted k-means for density-biased clustering

In this paper, we forecast the volatility of gold prices using Markov Regime Switching GARCH (MRS-GARCH) models. These models allow volatility to have different dynamics according to unobserved regime variables. The main purpose of this paper is to find out whether MRS-GARCH models are an improvement on the GARCH type models in terms of modeling and forecasting gold price volatility. The MRS-GARCH is best performance model for gold price volatility in some loss function. Moreover, we forecast closing prices of gold price to trade future contract. MRS-GARCH got the most cumulative return same GJR model.

/pdf/forecasting-volatility-of-gold-price-using-markov-regime-49xofypkgb.pdf

Forecasting Volatility of Gold Price Using Markov Regime Switching and Trading Strategy

http://sutir.sut.ac.th:8080/jspui/bitstream/123456789/588/1/sdarticle_sattayatham5.pdf

Pairote Sattayatham

Papers

GB-splines of arbitrary order

Weighted k-means for density-biased clustering

Forecasting Volatility of Gold Price Using Markov Regime Switching and Trading Strategy

On periodic solutions of nonlinear evolution equations in Banach spaces

Weighted K-means for density-biased clustering