By Alessio F., Montecchiari P.

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**Additional resources for A note on the multiplicity of entire solutions in R2 for a class of almost periodic Allen-Cahn type equations**

**Sample text**

24) [L]0,0 [V ]0,: , i = 0, [L]i,i [V ]i,: + [L]i,0:i−1 [V ]0:i−1,: , i ∈ {1, 2, . . , N − 1}, N > 1, if we exploit the lower triangular structure of L, i. , the fact that the elements of the (i + 1)th row with an index higher than i are zero, and where we separated [L]i,i [V ]i,: from the given sum. Note that ‘:’ is the abbreviation for ‘0 : z’ where z is the maximum value of the index under consideration. 2.. 2. Forward Substitution (FS) [V ]0,: ← [Cy ,x ]0,: /[L]0,0 2: for i = 1, 2, . .

QD−1 ] Note that compared to the block Arnoldi or Lanczos procedure (cf. 1.

QD−1 ] Note that compared to the block Arnoldi or Lanczos procedure (cf. 1.