This paper presents the S4CAD software tool which allows to synthesize and analyse a set of admissible systolic arrays for the given matrix algorithm. A systematic approach to the design is presented as a theoretical background of the S4CAD. The tool runs under graphical operating environment Microsoft Windows 3 placing at the user’s disposal convenient means for evaluation and choosing an optimal structure observing designer’s requirements, e.g., computing time, number of processing elements, structure topology, number of external pins, data flows formats, data pipelining period etc. A number of basic parametrized algorithms of linear algebra and graph theory have been included in the S4CAD library, and as an example the design of systolic structures for the transitive closure algorithm is shown in the paper.