Submethods Of Regular Matrix Summability Methods

1956 ◽  
Vol 8 ◽  
pp. 40-46 ◽  
Author(s):  
Casper Goffman ◽  
G. M. Petersen
Keyword(s):  
Matrix Method ◽  
Regular Matrix ◽  
Matrix Summability ◽  
Summability Methods ◽  
First Category ◽  
The Matrix

By a submethod of a regular matrix method A we mean a method (see 1 or 3) whose matrix is obtained by deleting a set of rows from the matrix A. We establish a one-one correspondence between the submethods of A and the points of the interval 0 < ξ ≤We designate the submethod which corresponds to 𝞷 by A (𝞷) and are accordingly able to speak of sets of submethods of measure 0, of the first category, etc.

scholarly journals Inclusion results for convolution submethods

2004 ◽  
Vol 2004 (2) ◽  
pp. 55-64
Author(s):  
Jeffrey A. Osikiewicz ◽  
Mohammad K. Khan
Keyword(s):  
Summability Method ◽  
Borel Summability ◽  
Matrix Summability ◽  
Summability Methods ◽  
The Matrix ◽  
Summability Matrix ◽  
Equivalence Result ◽  
Inclusion Results

IfBis a summability matrix, then the submethodBλis the matrix obtained by deleting a set of rows from the matrixB. Comparisons between Euler-Knopp submethods and the Borel summability method are made. Also, an equivalence result for convolution submethods is established. This result will necessarily apply to the submethods of the Euler-Knopp, Taylor, Meyer-König, and Borel matrix summability methods.

Determination of the Force Constants of Non-linear XY2 Molecules in the Gas-Phase by the GF Matrix Method

2004 ◽  
Vol 59 (9) ◽  
pp. 621-622 ◽  
Author(s):  
Fatih Ucun ◽  
Vesile Gūçlü
Keyword(s):  
Gas Phase ◽  
Condensed Phase ◽  
Matrix Method ◽  
Solid Phase ◽  
Force Constants ◽  
Matrix Solution ◽  
The Matrix ◽  
Newton Raphson ◽  
Raphson Method

The force constants of the internal coordinates of nonlinear XY2 molecules in the gas-phase were calculated by using the GF matrix method. The matrix solution was carried out by means a computer program built relative to the Newton-Raphson method and the calculations were listed in a table. The force constants of some molecules in the liquidand solid- phase were also found and compared with these ones, and it was seen that the force constants for more condensed phase are lower as in an agreement with having its lower frequency.

scholarly journals Multivariate analytical methods for simultaneous estimation of Atenolol and Hydrochlorothiazide in bulk and tablet dosage form

2021 ◽  
Vol 6 (4) ◽  
pp. 205-208
Author(s):  
Sreenivasa Charan Archakam ◽  
Keerthisikha Palur ◽  
Praveen Kumar Arava
Keyword(s):  
Linear Regression ◽  
Matrix Method ◽  
Linear Regression Analysis ◽  
Molar Absorptivity ◽  
Simultaneous Estimation ◽  
Linear Regression Method ◽  
Spectrophotometric Methods ◽  
The Matrix ◽  
Ft Ir ◽  
Tablet Dosage

The present study aimed to develop simple, accurate and precise FTIR and UV spectrophotometric methods for the quantification of Atenolol and Hydrochlorothiazide in bulk and tablet dosage forms. FT-IR method like classical least squares (CLS) was developed within the range of 2366.69-3433.44; 1564.40-1673.30 cm- UV methods like Cramer’s matrix method (method-I) and linear regression analysis (Method II) were developed and they are based upon constructing the matrix set by using molar absorptivity values at 275.60 nm and 270.40 nm. The assay values for FTIR- CLS method were 102% and 108 % for Atenololand Hydrochlorothiazide respectively. Cramer’s matrix method results were found to be 95.15% and 104% for Atenolol and Hydrochlorothiazide respectively and for linear regression method they were found to be 98.50% and 106% (w/w).

scholarly journals Protecting River Environment through Proper Management of Material Mining by Matrix Method (Case Study of A'la River in Iran)

2018 ◽  
Vol 3 (12) ◽  
pp. 1301
Author(s):  
Farhang Azarang ◽  
Ghazal Jafari ◽  
Maryam Karami Karami ◽  
Mahmood Shafaie Bejestan
Keyword(s):  
Matrix Method ◽  
Sediment Load ◽  
Direct Impact ◽  
Mining Method ◽  
River Engineering ◽  
Critical Importance ◽  
Mine Area ◽  
The Matrix ◽  
Available Volume

Regarding the importance of rivers, appropriate management of aggregate mining is of great significance. Mining of river materials has a direct impact on environmental conditions of the river. Today, aggregate mining management represents a crucial topic in river engineering. Often selected based on the pattern of the considered river, matrix method provides a suitable approach to improve the river aggregate mining management. The present research aims at presenting the application of the matrix method in river material mining location evaluation. Given the capabilities of the matrix method for determining potential of mine area and aggregate mining method, this method can be seen as a suitable solution for reducing negative environmental impacts of river material mining. A'la River is one of the most important rivers streaming in Khouzestan Province (Iran), with its sediment load and mining potential being of critical importance. In this research, the reach of A'la River at the intersection of Rood-Zard River and Rahmhormoz diversion dam was studied for aggregate mining and application of matrix method. The main purpose of this work is to study the application of matrix method to A'la River. The results indicate braided pattern of the river and appropriateness of the matrix method. Available volume of aggregate for mining within the mentioned reach of A'la River was estimated as 50,000 m3, and scraping method at a maximum depth of 1 m was proposed for mining of the aggregates.

scholarly journals Absolute matrix summability methods

2011 ◽  
Vol 24 (12) ◽  
pp. 2102-2106 ◽  
Author(s):  
H.S. Özarslan ◽  
T. Ari
Keyword(s):  
Matrix Summability ◽  
Absolute Matrix Summability ◽  
Summability Methods
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