On greatest common divisors and least common multiple of linear matrix equation solutions.

Автор(и)

  • V. Shchedryk Pidstryhach Institute for Applied Problems of Mechanics and Mathematics National Academy of Sciences of Ukraine, L’viv, Ukraine

Ключові слова:

Commutative elementary divisor domain, matrix linear equation, greatest common left divisor, least common left multiple

Анотація

Investigation of linear equation solutions has a profound history. Due to applied and theoretical problems we need to find roots with certain predefined properties. Matrix equations were studied with a symmetry condition, with Hermitian positively defined condition, with minimal rank condition on the solutions.

Посилання

I. Kaplansky Elementary divisor and modules, Trans. Amer. Math. Soc. – 1949. – 66. – P. 464–491.

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