Abstract: A partial-sum matrix is a matrix whose entries are partial sums of a seires associate with a sequence. The rank of a partial-sum matrix associate with any recurrence sequence can be related to the rank of an associate recurrence matrix, a matrix whose entries are from the same recurrence sequence. In particular, we find ranks of partial-sum matrices associated with arithmetic series and geometric series.
Thitarie Rungratgasame, Punna Charrasangsakul, "Partial-Sum Matrix and its Rank," WSEAS Transactions on Mathematics, vol. 22, pp. 768-772, 2023, DOI:10.37394/23206.2023.22.84
Thitarie Rungratgasame, Punna Charrasangsakul. Partial-Sum Matrix and its Rank.
WSEAS Transactions on Mathematics. 2023;22:768-772. 10.37394/23206.2023.22.84