Some alternative methods of convergence acceleration

Abstract

In this work some new nonclassical convergence acceleration concepts are described and compared with the classical convergence acceleration concept. It is shown that these concepts allow to compare the speeds of convergence for a larger set of sequences than the classical convergence acceleration concept. For the acceleration of convergence of sequences regular matrix methods are used. As an application the obtained results can be used for accelerating the convergence of Fourier expansions and for increasing the order of approximation of Fourier expansions and Zygmund means of Fourier expansions in Banach space.

Genetic Variability and Aggressiveness of Tilletia indica Isolates Causing Karnal Bunt in Wheat

“…The variety Fakhre-Sarhad showed a moderately susceptible to highly resistant response (Table S3). These findings show that these varieties may possess multiple disease-resistance genes [14,42] and reported a resistant to a high-resistant reaction in varieties such as NIFA-Barasat, Punjab-2011, BARA-09 and Seher against a set of 21 T. indica isolates. The significant effect of isolates and varieties suggested the presence of pathogenic variation in T. indica isolates as well as the resistance genes in these cultivars [34], which could result from the gene-to-gene interaction dependent on a strain-host relationship [37].…”

“…Unfortunately, no work was previously conducted to understand and explore the pathogenicity and genetic variability of T. indica in Pakistan. However, limited studies on the variability of T. indica in terms of size of primary and secondary sporida, germination percent, morphology [13,15,32] host reaction, and aggressiveness among isolates in pathogenicity tests were reported earlier from India and Pakistan [14,33,34].…”

“…The isolate PB-25 reported earlier was also found significantly pathogenic as compared to other isolates assessed in the current study (Table 2). Among other isolates, PB-55 has an aggressive response and was collected from the same district as the reference isolate [14].…”

“…Infected wheat grains with KB were randomly collected from Punjab and Khyber Pakhtunkhwa (KP). Surveys were carried out to find the current status of KB during 2013-2014, and 48 isolates were collected [13] (Table 1). Twenty isolates collected during 2010-2011, including Pb-25 (aggressive isolate) [14], were also used for the molecular analysis.…”

“…Surveys were carried out to find the current status of KB during 2013-2014, and 48 isolates were collected [13] (Table 1). Twenty isolates collected during 2010-2011, including Pb-25 (aggressive isolate) [14], were also used for the molecular analysis. The geographic coordinates of the sample collection sites and host cultivars are also given in Table 1.…”