"[430B32765D19]" . . "Je dok\u00E1z\u00E1na n\u00E1sleduj\u00EDc\u00ED v\u011Bta: jsou-li d\u00E1ny \u010Dtvercov\u00E9 matice A, D stejn\u00E9ho \u0159\u00E1du, D nez\u00E1porn\u00E1, potom bu\u010F rovnice Ax+B|x|=b m\u00E1 pro ka\u017Edou matici B takovou, \u017Ee |B|<=D a pro ka\u017Edou pravou stranu b pr\u00E1v\u011B jedno \u0159e\u0161en\u00ED, nebo rovnice Ax + B_0|x| = 0 m\u00E1 netrivi\u00E1ln\u00ED \u0159e\u0161en\u00ED pro jistou matici B_0 velmi speci\u00E1ln\u00EDho tvaru, |B_0| <= D; tyto dv\u011B alternativy se vz\u00E1jemn\u011B vylu\u010Duj\u00ED...."@cs . "A Theorem of the Alternatives for the Equation Ax + B|x| = b" . . "A Theorem of the Alternatives for the Equation Ax + B|x| = b"@en . "-" . . "6"^^ . "RIV/67985807:_____/04:00105250" . . "The following theorem is proved: given square matrices A, D of the same size, D nonnegative, then either the equation Ax + B|x| = b has a unique solution for each B with |B| le D and for each b, or the equation Ax + B0|x| = 0 has a nontrivial solution for some matrix B0 of a very special form, |B0| le D; the two alternatives exclude each other....." . "GB - Spojen\u00E9 kr\u00E1lovstv\u00ED Velk\u00E9 Brit\u00E1nie a Severn\u00EDho Irska" . "A Theorem of the Alternatives for the Equation Ax + B|x| = b" . "V\u011Bta o alternativ\u00E1ch pro rovnici Ax+B|x|=b"@cs . . "52" . . . . "RIV/67985807:_____/04:00105250!RIV/2005/AV0/A06005/N" . "P(GA201/01/0343), Z(AV0Z1030915)" . . "553239" . "Linear and Multilinear Algebra" . "1"^^ . "nonlinear equation; existence; uniqueness; interval matrix; eigenvalue"@en . "0308-1087" . . "1"^^ . "A Theorem of the Alternatives for the Equation Ax + B|x| = b"@en . "421;426" . . "Rohn, Ji\u0159\u00ED" . . . . "The following theorem is proved: given square matrices A, D of the same size, D nonnegative, then either the equation Ax + B|x| = b has a unique solution for each B with |B| le D and for each b, or the equation Ax + B0|x| = 0 has a nontrivial solution for some matrix B0 of a very special form, |B0| le D; the two alternatives exclude each other....."@en . . . . . . "V\u011Bta o alternativ\u00E1ch pro rovnici Ax+B|x|=b"@cs .