A Residual Existence Theorem for Linear Equations

0332762 - ÚI 2010 RIV DE eng J - Článek v odborném periodiku
Rohn, Jiří
A Residual Existence Theorem for Linear Equations.
[Reziduální existenční věta pro soustavy lineárních rovnic.]
Optimization Letters. Roč. 4, č. 2 (2010), s. 287-292. ISSN 1862-4472. E-ISSN 1862-4480
Grant CEP: GA ČR GA201/09/1957; GA ČR GC201/08/J020
Výzkumný záměr: CEZ:AV0Z10300504
Klíčová slova: linear equations * solution * existence * residual * convex hull * absolute value equation
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.010, rok: 2010

Citováno: 9

--- WANG, A.X. - WANG, H.J. - DENG, Y.K. Interval algorithm for absolute value equations. CENTRAL EUROPEAN JOURNAL OF MATHEMATICS. ISSN 1895-1074, OCT 2011, vol. 9, no. 5, p. 1171-1184. [WOS]
--- BARTL, D. Separation theorems for convex polytopes and finitely-generated cones derived from theorems of the alternative. LINEAR ALGEBRA AND ITS APPLICATIONS. ISSN 0024-3795, MAY 1 2012, vol. 436, no. 9, p. 3784-3789. [WOS]
--- MANGASARIAN, O.L. A hybrid algorithm for solving the absolute value equation. OPTIMIZATION LETTERS. ISSN 1862-4472, OCT 2015, vol. 9, no. 7, p. 1469-1474. [WOS]
--- MANGASARIAN, O.L. Absolute Value Equation Solution Via Linear Programming. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. ISSN 0022-3239, JUN 2014, vol. 161, no. 3, p. 870-876. [WOS]
--- MANGASARIAN, O.L. Absolute value equation solution via dual complementarity. OPTIMIZATION LETTERS. ISSN 1862-4472, APR 2013, vol. 7, no. 4, p. 625-630. [WOS]
--- MANGASARIAN, O.L. Primal-dual bilinear programming solution of the absolute value equation. OPTIMIZATION LETTERS. ISSN 1862-4472, OCT 2012, vol. 6, no. 7, SI, p. 1527-1533. [WOS]
--- NING, G.Y. - ZHOU, Y.Q. An Improved Differential Evolution Algorithm for Solving Absolute Value Equations. HIGH PERFORMANCE COMPUTING AND APPLICATIONS, HPCA 2015. ISSN 0302-9743, 2016, vol. 9576, p. 38-47. [WOS]
--- YONG, L.Q. Smooth Newton method to absolute value equation based on lower uniform smoothing approximation function. JOURNAL OF INTERDISCIPLINARY MATHEMATICS. ISSN 0972-0502, 2016, vol. 19, no. 1, p. 191-205. [WOS]
--- YONG, L.Q. Iteration Method for Absolute Value Equation and Applications in Two-point Boundary Value Problem of Linear Differential Equation. JOURNAL OF INTERDISCIPLINARY MATHEMATICS. ISSN 0972-0502, 2015, vol. 18, no. 4, p. 355-374. [WOS]

Trvalý link: http://hdl.handle.net/11104/0177909