Category Archives: UDFs

The Inverse Quadratic Method 3 – Brent’s Method

The previous post in this series presented iterative methods to solve polynomial equations using direct or inverse quadratic interpolation.  These methods have two disadvantages: In some circumstances the function may converge very slowly, or not at all. The name of … Continue reading →

Posted in Excel, Maths, UDFs, VBA | Tagged , , , , , | 12 Comments

Calling a function as a variable

The functions described in recent posts provide iterative solutions to polynomial equations, but the same method can be used for any equations that can be evaluated numerically and have a single variable.  The question then is, how can we call a … Continue reading →

Posted in Arrays, Excel, Maths, UDFs, VBA | Tagged , , , , , , | 6 Comments

The Inverse Quadratic Method – 2

Firstly a clarification from the previous post in this series.  The method presented in that post was a direct application of quadratic interpolation, rather than the inverse quadratic method, as implied by the post title.  The inverse quadratic method will be … Continue reading →

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Function roots with the Inverse Quadratic Method

An earlier post presented various methods for finding the roots of polynomial functions based on the use of linear interpolation.  It is sometimes advantageous to use a quadratic interpolation function, and methods using this approach will be presented in this and following … Continue reading →

Posted in Excel, Maths, UDFs, VBA | Tagged , , , , | 5 Comments

Tension Stiffening

Tension Stiffening in reinforced concrete is the increase in stiffness of a cracked member due to the development of tensile stresses in the concrete between the cracks.  The main application of tension stiffening theory in design applications is in the … Continue reading →

Posted in Beam Bending, Concrete, Excel, Newton, UDFs, VBA | Tagged , , , , , | 3 Comments