Solving tied interval linear systems
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 7 (2004) no. 4, pp. 363-376

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This paper presents a survey of modern techniques for enclosing the solution sets to interval linear systems whose parameters are subject to additional ties. For optimal (exact) component-wise estimation of the solution sets to interval linear systems with symmetric, persymmetric, Hankel and Toeplitz matrices, we develop socalled parameter partitioning methods (PPS-methods) based on adaptive partitioning of the interval initial data of the problem under consideration.
@article{SJVM_2004_7_4_a7,
     author = {S. P. Shary},
     title = {Solving tied interval linear systems},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {363--376},
     publisher = {mathdoc},
     volume = {7},
     number = {4},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2004_7_4_a7/}
}
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S. P. Shary. Solving tied interval linear systems. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 7 (2004) no. 4, pp. 363-376. http://geodesic.mathdoc.fr/item/SJVM_2004_7_4_a7/