US Patent 8959136 Matrix operations in an integrated circuit device

Efficient matrix operations circuitry is based on combining a matrix decomposition and a forward substitution operations to share the same processing overhead. A dual multiplier circuit selectively applies complex multiplication operations to a first and second input vectors for computing a conjugate dot product vector or a non-conjugate dot product vector. The conjugate dot product vector corresponds to the matrix decomposition operation for triangulating an input matrix to generate an element of a triangulated matrix. The non-conjugate dot product vector corresponds to a forward substitution operation for determining an element of a forward substitution vector from the triangulated matrix.