Abstract: A driving method of a matrix type liquid crystal display element including at least J.times.L (J and L are respectively integers of 2 or more) row electrodes and a plural number of column electrodes wherein the J.times.L row electrodes are divided into J row electrode subgroups each including n row electrodes so that the subgroups are selected as each batch to be driven. When voltages are applied to the row electrodes, either a voltage level of +V.sub.r or -V.sub.r (where V.sub.r >0) is applied at a selection time, when a voltage at a non-selection time is 0 (zero). Voltages applied to the column electrodes are selected from (L+1) voltage levels of V.sub.0, V.sub.1, . . . , V.sub.L (where V.sub.0 <V.sub.1 . . . <V.sub.L), and when a two-valued information of the j-th line electrode subgroup (j is an integer of any of 1 through J) in a specified column in the plural column electrodes is expressed by a column vector D.sub.j having L elements (where the elements of the vector D.sub.

Abstract: A driving method for a liquid crystal display element including L row electrodes and K column electrodes in which two kinds of data, data corresponding to a logical "0" and data corresponding to a logical "1", are used to display gray shades. The row electrodes are divided into row electrode subgroups which are selected as a batch. When the row electrode subgroups are selected, they have a positive voltage level with respect to a non-election voltage and a negative voltage level with respect to a selection voltage. A matrix of column vector components in which row voltages are time-sequentially arranged form a display cycle in each of the row electrode subgroups, and such a matrix has orthogonality. Row voltages are dispersively applied in a display cycle in each of the row electrode subgroups. Further, a number of column vector components K is related to a number of row electrodes L such that K is a minimum value satisfying the orthogonality and L is.ltoreq.2.sup.P =K, where K, L and P are integers.

Abstract: A driving method of a matrix type liquid crystal display element comprising at least J.times.L number (J subgroup) of row electrodes and a plurality of column electrodes. When information of the j-th row electrode subgroup in a specified column is expressed by a column vector D.sub.j having an L number of elements, the following conditions are satisfied: (1) and j-th row electrode subgroup is selected so that the elements of a selection voltage vector which constitute a selection voltage matrix in which the product of a matrix and a transposed matrix of the same assumes a scalar multiple of the unit matrix is selected, and the selection voltage matrix comprising election voltage vectors arranged in a matrix are selected, and (2) when the j-th row electrode subgroup is selected, the voltage applied to the column electrodes to indicate a display information by means of the vector D.sub.j are determined as in the following items (a) and (b): (a) a vector .beta.