A way to solve a symmetrical set of algebraic equations by a method for compensating linear distortions of a signal

A way to use an algorithm for compensating for linear distortions for solving a set of linear algebraic equations with a band matrix is examined. The relationships needed for step-by-step finding of a solution are generated, and the framework in which the relationships are correct is determined.

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Bibliographic Details
Published inPattern recognition and image analysis Vol. 22; no. 1; pp. 131 - 135
Main Authors Efimov, V. M., Reznik, A. L., Torgov, A. V., Solov’ev, A. A.
Format Journal Article
LanguageEnglish
Published Moscow Nauka/Interperiodica 01.03.2012
Springer Nature B.V
Subjects
Algebra
Algorithms
Analysis
Computer Science
Distortion
Image analysis
Image Processing and Computer Vision
Image processing systems
Linear equations
Mathematical analysis
Mathematical Theory of Pattern Recognition
Pattern Recognition
Studies
algorithms for compensating for linear distortions
spectral estimation
set of algebraic linear equations
image digital processing
Toplitz matrix inversion
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Summary:A way to use an algorithm for compensating for linear distortions for solving a set of linear algebraic equations with a band matrix is examined. The relationships needed for step-by-step finding of a solution are generated, and the framework in which the relationships are correct is determined.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1054-6618
1555-6212
DOI:10.1134/S1054661812010142