Stable matrix inverse method for array DF using trapezoidal factorisation

1986 ◽  
Vol 22 (4) ◽  
pp. 177
Author(s):  
D.H. Brandwood
Keyword(s):  
Inverse Method ◽  
Matrix Inverse ◽  
Stable Matrix

scholarly journals A new method for determining stoichiometric coefficients using minors of a matrix

2022 ◽  
Author(s):  
Rainier Lombaard
Keyword(s):  
Linear Algebra ◽  
Chemical Reactions ◽  
Inverse Method ◽  
Reduction Reaction ◽  
New Method ◽  
Complex Structures ◽  
Traditional Methods ◽  
Matrix Inverse ◽  
Spinel Materials

Spinel materials often have complex structures and as a result, balancing of reactions with these compounds by traditional methods become very time consuming. A method to calculate the stoichiometric coefficients for chemical reactions using first a modified matrix-inverse method and then an optimised method is proposed. Both methods are explored using linear algebra and the result demonstrated using a typical chromite reduction reaction.

scholarly journals A new method for determining stoichiometric coefficients using minors of a matrix

2021 ◽  
Author(s):  
Rainier Lombaard
Keyword(s):  
Chemical Reactions ◽  
Matrix Algebra ◽  
Inverse Method ◽  
Reduction Reaction ◽  
New Method ◽  
Complex Structures ◽  
Metallothermic Reduction ◽  
Mathematical Basis ◽  
Matrix Inverse ◽  
Spinel Materials

The motivation of this study was the investigation into the metallothermic reduction of chromite ores. Spinel materials have complex structures and as a result, balancing of the reduction reactions by traditional methods become very time consuming. A method to calculate the stoichiometric coefficients for chemical reactions using first a modified matrix-inverse method and then a new optimised method is proposed. The mathematical basis of both methods is explored using matrix algebra and then demonstrated using a typical chromite reduction reaction.

scholarly journals A method for determining stoichiometric coefficients using minors of a matrix

2022 ◽  
Author(s):  
Rainier Lombaard
Keyword(s):  
Linear Algebra ◽  
Chemical Reactions ◽  
Inverse Method ◽  
Reduction Reaction ◽  
Complex Structures ◽  
Traditional Methods ◽  
Matrix Inverse ◽  
Spinel Materials

Spinel materials often have complex structures and as a result, balancing of reactions with these compounds by traditional methods become very time consuming. A method to calculate the stoichiometric coefficients for chemical reactions using first a modified matrix-inverse method and then an optimised method is proposed. Both methods are explored using linear algebra and the result demonstrated using a typical chromite reduction reaction.

scholarly journals A METHOD FOR DETERMINING STOICHIOMETRIC COEFFICIENTS USING MINORS OF A MATRIX

2022 ◽  
Author(s):  
Rainier Lombaard
Keyword(s):  
Linear Algebra ◽  
Chemical Reactions ◽  
Inverse Method ◽  
Reduction Reaction ◽  
Complex Structures ◽  
Traditional Methods ◽  
Matrix Inverse ◽  
Spinel Materials

Spinel materials often have complex structures and as a result, balancing of reactions with these compounds by traditional methods become very time consuming. A method to calculate the stoichiometric coefficients for chemical reactions using first a modified matrix-inverse method and then an optimised method is proposed. Both methods are explored using linear algebra and the result demonstrated using a typical chromite reduction reaction.

A general inverse method for modelling extensional sedimentary basins

2000 ◽  
Vol 12 (3-4) ◽  
pp. 219-226 ◽  
Author(s):  
P. Bellingham ◽  
N. White
Keyword(s):  
Inverse Method ◽  
Sedimentary Basins
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