Actually the term is called Diastolic Heart Failure. This kind of Heart failure is caused by preserved left ventricular function. It is characterized by stiff left ventricle such that it has decreased compliance and impaired relaxation. This leads to increased end diastolic pressure.
The treatments include a major lifestyles change which includes, weight loss, dietary changes, exercise, quit smoking etc. Then the medical treatment includes normalization of blood pressure, promotion of regression of left ventricular hypertrophy. Prevention of tachycardia, treatment of congestion and most importantly maintaining atrial contraction.