The "differential" method of Achar, Brindley and Sharp (ABS) and the "integral" one of Coats and Redfern (CR) are applied to the dehydration of BaBr2-H20 and HCOOLiH20 and to the thermal decomposition of Pb(SCN)2, and the kinetic parameters so obtained are compared with those deduced isothermally. The results of the ABS method, at the lowest heating rate (q = 1.2 K min— '), agree well with the ...

This paper gives a survey of the theory and practice of nonlinear ABS methods including various types of generalizations and computer testing. We also show three applications to special problems, two of which are new.

The ABS methods, introduced by Abaffy, Broyden and Spedicato, are direct iteration methods for solving a linear system where the ith iterate satisfies the first i equations, therefore a system of m equations is solved in at most m steps. Recently, we have presented a new approach to devise a class of ABS-type methods for solving full row rank systems [K. Amini, N. Mahdavi-Amiri, M. R. Peyghami,...

Major syntactic boundaries are often accompanied by a rise in the phrase component of the fundamental frequency (F0) contour. Detecting such rises, therefore, can be signi cantly helpful to the speech recognition process. We developed a method to detect syntactic boundaries with phrasecomponent rise (henceforth, phrase boundaries), based on the compression of the accent component of the F0 cont...

Context-specific independence representations, such as treestructured CPTs, reduce the number of parameters in Bayesian networks by capturing local independence relationships. We previously presented Abstraction-Based Search (ABS), a technique for using attribute value hierarchies during Bayesian network learning to remove unimportant dis-ion-Based Search (ABS), a technique for using attribute ...

Mobile telephone service was first introduced to Japanese market in the mid-1980s and from then on, this area of business has shown a rapid growth of the number of the subscribers. However, recently, the mobile telephone market in Japan has become saturated. Most of the adult populations have at least one mobile phone set nowadays. Moreover, there are hardly any distinct differences in the qual...

ABS methods are direct iterative methods for solving linear systems of equations, where the i-th iteration satisfies the first i equations. Thus, a system of m equations is solved in at most m ABS iterates. In 2004 and 2007, two-step ABS methods were introduced in at most [((m+1))/2] steps to solve full row rank linear systems of equations. These methods consuming less space, are more compress ...

Solving mixed integer linear programming (MILP) problems is a difficult task due to the parallel use of both integer and non-integer values. One of the most widely used solution is to solve the problem in the real space and they apply additional iteration steps (so-called cutting-plane algorithms or Gomory’s cuts) to narrow down the solution to the optimal integer solution. The ABS class of alg...

A. The first considerable roundoff analyser software, which can provide global error bounds for a given numerical algorithm, was designed by Webb Miller and David Spooner in the second half of the 70s. Despite its abilities, the recently software is not widely used, and since its publication it has not been upgraded. The software was written in Fortran IV for the IBM 360/370 series. With...

Classes of‎ ‎Abaffy-Broyden-Spedicato (ABS) methods have been introduced for‎ ‎solving linear systems of equations‎. ‎The algorithms are powerful methods for developing matrix‎ ‎factorizations and many fundamental numerical linear algebra processes‎. ‎Here‎, ‎we show how to apply the ABS algorithms to devise algorithms to compute the WZ and ZW‎ ‎factorizations of a nonsingular matrix as well as...