Which newly diagnosed heart failure patients should be evaluated for ischemia and how?

From the 2013 ACCF/AHA guidelines (executive summary here):

No class I recommendations.

Assuming the patient is a potential revascularization candidate---

If ischemia “may be contributing” to heart failure: coronary angiography reasonable (class IIa).

Known CAD but no angina: non invasive imaging reasonable (class IIa).

Other indications for imaging may be present.