What is claimed is:1. An image display device with a display region configured by arranging a plurality of pixels in a matrix form, comprising:a plurality of gate signal lines respectively disposed for each pixel row including a first pixel row and a second pixel row different from each other in the display region, and the plurality of gate signal lines being used to select a pixel row in which a data voltage corresponding to image data is written;a gate driver that supplies a gate signal to the plurality of gate signal lines;a plurality of data signal lines respectively disposed for each pixel column in the display region, the plurality of data signal lines being used to write the data voltage in pixels of the selected pixel row;a source driver that supplies the data voltage to the plurality of data signal lines; anda controller that determines whether the second pixel row has correlation with the first pixel row in an image, and controls the gate driver and the source driver based on a determined result,wherein when determining that the second pixel row has the correlation with the first pixel row, the controller causes the source driver to supply the data voltage corresponding to the first pixel row, causes the gate driver to supply the gate signal to write the data voltage corresponding to the first pixel row in the first pixel row, and causes the gate driver to supply the gate signal to write the data voltage corresponding to the first pixel row in the second pixel row.2. The image display device according to claim 1, whereinthe controller controls the gate driver and the source driver to write respective data voltage for every predetermined pixel rows in the plurality of pixel rows in one frame of the plurality of frames,the first pixel row is a pixel row in which the data voltage is written in the one frame, andthe second pixel row is a pixel row in which the data voltage is not written in the one frame when the controller determines that the correlation does not exist.3. The image display device according to claim 2, whereinthe controller controls the source driver to perform column inversion drive in which polarities of the data voltage supplied to two adjacent data signal lines are different from each other,a plurality of the first pixel rows exist in the one frame, andthe controller determines whether the correlation exists between the first pixel row located in a center in a column direction of the three first pixel rows arranged side by side and each of at least the two second pixel rows disposed between the first pixel row and the rest two first pixel rows except for the first pixel row.4. The image display device according to claim 2, whereinthe controller controls the source driver to perform row line inversion drive in which polarities of the data voltage supplied to the plurality of data signal lines are inverted for every pixel row group constructed with consecutive n (n is an integer of 2 or more) pixel rows,the first pixel rows are respectively disposed for each pixel row group, andthe controller determines whether the correlation exists between the first pixel row and each of at least the one second pixel row included in the pixel row group in which the first pixel row is disposed.5. The image display device according to claim 2, whereinthe gate driver sequentially supplies the gate signal to the plurality of pixel rows in order toward one side in the column direction, andwhen one second pixel row having the correlation with the first pixel row is located on the other side in the column direction with respect to the first pixel row, the controller further performs control to cause the source driver to supply the data voltage corresponding to the first pixel row, to cause the gate driver to supply the gate signal to write the data voltage corresponding to the first pixel row in the second pixel row located on the other side, and to cause the gate driver to supply the gate signal to write the data voltage corresponding to the first pixel row in the first pixel row.6. The image display device according to claim 1, further comprising a phase inversion controller that inverts a phase of polarity of the data voltage in units of m (m is an integer of 1 or more) pixel rows, and shifts a position of the pixel row where the phase of the polarity of the data voltage is inverted by every predetermined pixel rows in every predetermined frames.7. The image display device according to claim 1, further comprising a memory capable of storing image data for one frame,wherein the controller controls the gate driver and the source driver to write respective data voltage in each of a plurality of pixel rows in each of a plurality of frames,when the first pixel row is a predetermined pixel row, the controller controls the gate driver and the source driver to write respective data voltage in each of the plurality of pixel rows in the one frame, andwhen the first pixel row is not the predetermined pixel row, the controller sets the first pixel row to a first comparison reference line in the one frame, sequentially determines the correlation between the first comparison reference line and at least one second pixel row disposed closer to one side in a column direction than the first comparison reference line, and controls the gate driver and the source driver to write the data voltage corresponding to the first comparison reference line in each second pixel row determined to have the correlation.8. The image display device according to claim 7, whereinwhen determining that a head line in the display region has the correlation with the first comparison reference line, the controller controls the gate driver and the source driver to write the data voltage corresponding to the first comparison reference line in the head line, andwhen determining that the head line in the display region does not have the correlation with the first comparison reference line, the controller sets the head line to the first comparison reference line, and controls the gate driver and the source driver to write the data voltage corresponding to the head line in the head line.9. The image display device according to claim 8, whereinthe controller sequentially determines whether the pixel row including the first pixel row has the correlation with the first comparison reference line for each pixel row, andwhen the first pixel row becomes the pixel row in which the correlation is determined, the controller stops the determination of the correlation with respect to the first pixel row, and sets the first pixel row to the first comparison reference line again.10. The image display device according to claim 7, wherein the controller further sets the second pixel row that is initially determined not to have the correlation with the first pixel row in the plurality of second pixel rows to a second comparison reference line, sequentially determines the correlation between the second comparison reference line and at least one third pixel row disposed closer to the one side than the second comparison reference line, and controls the gate driver and the source driver to write the data voltage corresponding to the second comparison reference line in each third pixel row determined to have the correlation.11. The image display device according to claim 1, whereinthe controller determines whether a difference in pixel value between a first pixel and a second pixel disposed in an identical pixel column falls within a predetermined value, the first pixel included in the first pixel row and the second pixel included in the second pixel row, andthe controller determines that the second pixel row has the correlation with the first pixel row when the number of second pixels in which the difference in pixel value falls within the predetermined value is greater than or equal to a predetermined number.12. The image display device according to claim 1, whereinthe controller calculates a score according to a difference in pixel value between a first pixel and a second pixel disposed in an identical pixel row, the first pixel included in the first pixel row and the second pixel included in the second pixel row, andthe controller determines that the second pixel row has the correlation with the first pixel row when a correlation value indicating a degree of the correlation of the second pixel row with the first pixel row based on the calculated score is greater than or equal to a predetermined number.13. A display method for image display device including a display region configured by arranging a plurality of pixels in a matrix form, the display method comprising:determining whether a second pixel row has correlation with a first pixel row in an image; andcausing a source driver to supply a data voltage corresponding to the first pixel row, causing gate driver to supply a gate signal to write the data voltage corresponding to the first pixel row in the first pixel row, and causing the gate driver to supply the gate signal to write the data voltage corresponding to the first pixel row in the second pixel row when determining that the second pixel row has the correlation with the first pixel row.