Embodiments of systems, apparatuses, and methods for dual complex number multiplication and addition in a processor are described. For example, execution circuitry executes a decoded instruction to multiplex data values from positions in source operands to a multiplier, the source operands including pairs complex numbers, calculate a real part of a product of each pair of complex numbers, add the real part of the product of a first pair of complex numbers to the real part of the product of a second pair of complex numbers to calculate a first real result, and add the real part of the product of a third pair of complex numbers to the real part of the product of a fourth pair of complex numbers to calculate a second real result, and store the results to corresponding positions in the destination operand.