I agree that the content under "Supermatrix" matches that under "partitioned matrices"
The actual merge discussion is over at Talk:Supermatrix. linas 20:50, 1 July 2006 (UTC)
I've always seen block matrices using partitioning lines (this article doesn't). So, for example, let A, B, C and D be n × n matrices; then the 2n × 2n block matrix is represented by
It's a pity that Block Toeplitz matrices are called so, because this is a bit misleading. It would've made more sense to call Block Toeplitz matrices Toeplitz Block and call Block Toeplitz matices that have an arbitrary structure, but their blocks are Toeplitz matrices. (For instance, such are transition matrices for Markov chains, describing the extreme value of weight of gapped pairwise alignment of biological sequences) —Preceding unsigned comment added by 91.78.92.6 ( talk) 01:27, 20 November 2010 (UTC)
For this formulation of block matrix multiplication to work, don't the cardinalities of the column partitions of A have to correspond to the cardinalities of the row partitions of B? Otherwise, the matrices in the A(alpha,gamma)B(gamma,beta) products will not be conformal. If this is correct, this section should be updated with this condition accordingly. ( Fuug ( talk) 02:30, 2 September 2012 (UTC))
https://www.statlect.com/matrix-algebra/properties-of-block-matrices
The transpose of a block-matrix M is the matrix MT such that the (j,k)-th block of M is equal to the transpose of the (k,j)-th block of M.
https://math.stackexchange.com/questions/246289/transpose-of-block-matrix
https://inst.eecs.berkeley.edu/~cs61c/sp11/labs/07/ 92.120.5.12 ( talk) 15:28, 29 June 2023 (UTC)
I agree that the content under "Supermatrix" matches that under "partitioned matrices"
The actual merge discussion is over at Talk:Supermatrix. linas 20:50, 1 July 2006 (UTC)
I've always seen block matrices using partitioning lines (this article doesn't). So, for example, let A, B, C and D be n × n matrices; then the 2n × 2n block matrix is represented by
It's a pity that Block Toeplitz matrices are called so, because this is a bit misleading. It would've made more sense to call Block Toeplitz matrices Toeplitz Block and call Block Toeplitz matices that have an arbitrary structure, but their blocks are Toeplitz matrices. (For instance, such are transition matrices for Markov chains, describing the extreme value of weight of gapped pairwise alignment of biological sequences) —Preceding unsigned comment added by 91.78.92.6 ( talk) 01:27, 20 November 2010 (UTC)
For this formulation of block matrix multiplication to work, don't the cardinalities of the column partitions of A have to correspond to the cardinalities of the row partitions of B? Otherwise, the matrices in the A(alpha,gamma)B(gamma,beta) products will not be conformal. If this is correct, this section should be updated with this condition accordingly. ( Fuug ( talk) 02:30, 2 September 2012 (UTC))
https://www.statlect.com/matrix-algebra/properties-of-block-matrices
The transpose of a block-matrix M is the matrix MT such that the (j,k)-th block of M is equal to the transpose of the (k,j)-th block of M.
https://math.stackexchange.com/questions/246289/transpose-of-block-matrix
https://inst.eecs.berkeley.edu/~cs61c/sp11/labs/07/ 92.120.5.12 ( talk) 15:28, 29 June 2023 (UTC)