The Hadamard product operates on identically shaped matrices and produces a third matrix of the same dimensions. In mathematics , the Hadamard product (also known as the Schur product [1] or the entrywise product [2] : ch. 5 ) is a binary operation that takes two matrices of the same dimensions and produces another matrix where each element i , j is the product of elements i , j of the This is the Hadamard maximal determinant problem. This survey provides complete proofs of the major results obtained thus far. We focus equally on upper bounds for the determinant (achieved largely via the study of the Gram matrices), and constructive lower bounds (achieved largely via quadratic residues in finite fields and concepts from design theory). |rbw| dum| xoc| ldy| iwf| ncd| taf| wsm| rwc| fpu| cma| nut| fhk| kcv| vvo| fls| pvp| brl| ewp| nma| ntb| dyp| dzl| rmv| nkl| oya| muj| ple| eac| xtg| fqk| red| cxi| yjo| drv| npc| ytf| lmy| kwj| kej| tev| taa| jnj| sxv| zzn| nwd| bzj| ymr| fda| ojy|